2008

  1. V.K. Vanag and I.R. Epstein, “Patterns of Nanodroplets: The BZ-AOT Microemulsion System,” in Self-Organized Morphology in Nanostructured Materials, K. Al-Shamery and J. Parisi, eds., Springer, Berlin, 2008, pp. 89-113.

  2. I. R. Epstein, I. B. Berenstein, M. Dolnik,V. K. Vanag, Lingfa Yang and A. M. Zhabotinsky, “Coupled and Forced Patterns in Reaction-Diffusion Systems,” Phil Trans. Roy. Soc. A 366, 397–408 (2008).(PDF)

  3. J. Carballido-Landeira, I. Berenstein, P. Taboada, V. Mosquera, V. K. Vanag, I. R. Epstein, V. Pérez-Villar and A. P. Muñuzuri,. “Long-lasting dashed waves in a reactive microemulsion,” Phys. Chem. Chem. Phys. 10, 1094–1096 (2008). (PDF)

2007

  1. Vanag VK, Epstein IR, "Localized patterns in reaction-diffusion systems" CHAOS 17 (3): Art. No. 037110 SEP 2007 (PDF)

  2. Zhang R, Yang L, Zhabotinsky AM, Epstein IR, "Propagation and refraction of chemical waves generated by local periodic forcing in a reaction-diffusion model" PHYSICAL REVIEW E 76 (1): Art. No. 016201 Part 2 JUL 2007 (PDF)

  3. Epstein IR, "Diversity in chemistry: catalyzing change" NATURE CHEMICAL BIOLOGY 3 (6): 299-302 JUN 2007 (PDF)

  4. Miguez DG, Vanag VK, Epstein IR, "Fronts and pulses in an enzymatic reaction catalyzed by glucose oxidase" PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA 104 (17): 6992-6997 APR 24 2007 (PDF)

  5. I.R. Epstein, “Can Droplets and Bubbles Think?” Science 315, 775-776 (2007). (PDF)

2006

  1. V.K. Vanag and I. R. Epstein, “Resonance-Induced Oscillons in a Reaction-Diffusion System,” Phys. Rev. E 73, 016201-1-7 (2006). (PDF)

  2. A. Kaminaga, V. K. Vanag, and I. R. Epstein, “A reaction-diffusion memory device,” Angew. Chem. Int. Ed. 45, 3087-3089 (2006). (PDF)

  3. K. Kurin-Csörgei, I.R. Epstein and M. Orbán, “Periodic Pulses of Calcium Ions in a Chemical System,” J. Phys. Chem. A. 110, 7588-7592 (2006). (PDF)

  4. A. M. Zhabotinsky, R. N. Camp, I. R. Epstein and J. E. Lisman, “Role of the Neurogranin Concentrated in Spines in the Induction of Long-term Potentiation,” J. Neurosci. 26, 7337-7447 (2006). (PDF)

  5. H.G. Rotstein, A.M. Zhabotinsky and I.R. Epstein, “Localized Structures in a Nonlinear Wave Equation: Propagation Failure of One-Dimensional and Quasi-Two-Dimensional Kinks,” Phys. Rev. E  74, 016612-1-8 (2006). (PDF)

  6. I.R. Epstein, J.A. Pojman and O. Steinbock, “Introduction: Self-organization in nonequilibrium chemical systems,” Chaos 16, 037101-1-7 (2006). (PDF)

  7. L. Yang, M. Dolnik, A. M. Zhabotinsky, and I.R. Epstein, “Turing patterns beyond hexagons and stripes,” Chaos 16, 037114-1-9 (2006). (PDF)

  8. L. Yang, A.M. Zhabotinsky and I.R. Epstein, “Jumping solitary waves in an autonomous reaction-diffusion system with subcritical wave instability,” PhysChemChemPhys. 8, 4647 - 4651 (2006) (cover article). (PDF)

  9. I.R. Epstein “Predicting complex biology with simple chemistry,” Proc. Nat. Acad. Sci. USA 103, 15727-15728 (2006). (PDF)

  10. V.K. Vanag, D.G. Míguez and I.R. Epstein, “Designing an enzymatic oscillator: bistability and feedback controlled oscillations with glucose oxidase in a continuous flow stirred tank reactor,” J. Chem. Phys. 125, 194515-1-12 (2006). (PDF)

  11. A.K. Horváth, I. Nagypál and I.R. Epstein, “Three Autocatalysts and Self-Inhibition in a Single Reaction: A Detailed Mechanism of the Chlorite-Tetrathionate Reaction,” Inorg. Chem. 45, 9877-9883 (2006). (PDF)

2005

  1. K. Kurin-Csörgei, M. Orbán and I. R. Epstein, “Systematic Design of Chemical Oscillators Using Complexation  and Precipitation Equilibria,” Nature 433, 139-142 (2005). (PDF)

  2. A. Kaminaga, V. K. Vanag, and I.R. Epstein “`Black spots’ in a surfactant-rich Belousov-Zhabotinsky reaction dispersed in a water-in-oil microemulsion system,” J. Chem. Phys. 122, 174706-1-11 (2005). (PDF)

  3. L. Yang, I. Berenstein and I.R. Epstein, “Segmented Waves from a Spatiotemporal Transverse Wave Instability,” Phys. Rev. Lett. 95, 038303-1-4 (2005). (PDF)

  4. V.K. Vanag and I.R. Epstein, “Out-of-Phase Oscillatory Turing Patterns in a Bistable Reaction-Diffusion System,” Phys. Rev. E 71, 066212-1-7 (2005). (PDF)

  5. I. Berenstein, L. Yang, M. Dolnik, A. M. Zhabotinsky and I. R. Epstein, “Dynamic mechanism of photochemical induction of Turing superlattices in the chlorine dioxide-iodine-malonic acid reaction-diffusion system,” J. Phys. Chem. A 109, 5382-5387 (2005). (PDF)

  6. A. Kaminaga, V.K. Vanag, and I.R. Epstein, “Wavelength Halving in a Standing Wave–Traveling Wave Transition,” Phys. Rev. Lett. 95, 058302-1-4 (2005). (PDF)

  7. M.A.M. de Aguiar, I.R. Epstein and Y. Bar-Yam, “Analytically Solvable Model of Probabilistic Network Dynamics,” Phys. Rev. E 72, 067102-1-4 (2005). (PDF)

  8. T. Yamaguchi, I.R. Epstein, M. Shimomura and T. Kunitake, “Introduction: Engineering of Self-Organized Nanostructures,” Chaos 15, 047501-1-3 (2005). (PDF)

  9. I.R. Epstein and V.K. Vanag, “Complex patterns in reactive microemulsions: self-organized nanostructures?” Chaos 15, 047510-1-7 (2005). (PDF)

2004

  1. I.R. Epstein, J.A. Pojman and Q. Tran-Cong-Miyata, “Nonlinear Dynamics and Polymeric Systems: An Overview,” in Nonlinear Dynamics in Polymeric Systems, ACS Symp. Ser. 869, J.A. Pojman and Q. Tran-Cong-Miyata, eds., Am. Chem. Soc., Washington, DC, pp 2-15 (2004).

  2. L. Yang and I.R. Epstein, “Symmetric, Asymmetric and Antiphase Turing Patterns in a Model System with Two Identical Coupled Layers,” Phys. Rev. E 69, 026211-1-6 (2004). (PDF)

  3. Y. Bar-Yam and I.R. Epstein, “Response of Complex Networks to Stimuli,” Proc. Natl. Acad. Sci. 101, 4341-4345 (2004). (Movies |(PDF))

  4. V. K. Vanag and I. R. Epstein, “Stationary and Oscillatory Localized Patterns, and Subcritical Bifurcations,” Phys. Rev. Lett. 92, 128301-1-4 (2004). ( Movies | (PDF))

  5. L. Yang, A.M. Zhabotinsky and I.R. Epstein, “Stable Squares and other Oscillatory Turing Patterns in a Reaction-Diffusion Model,” Phys. Rev. Lett. 92, 198303-1-4 (2004). (PDF)

  6. V.K. Vanag and I.R. Epstein, “Subcritical Wave Instability in Reaction-Diffusion Systems,” J. Chem. Phys. 121, 890-894 (2004).(PDF)

  7. A.K. Horváth, I. Nagypál, G. Peintler and I.R. Epstein, “Autocatalysis and Selfinhibition: Coupled Kinetic Phenomena in the Chlorite-Tetrathionate Reaction,” J. Am. Chem. Soc. 126, 6246-6247 (2004).(PDF)

  8. K. Kurin-Csörgei, I.R. Epstein and M. Orbán, “New Heterogeneous Chemical Oscillators: Reduction of Manganese Species by Hypophosphite on a Pt Surface,” J. Phys. Chem. B 108, 7352-7358 (2004). (PDF)

9. I. Berenstein, M. Dolnik, L. Yang, A.M. Zhabotinsky and I.R. Epstein, “Turing Pattern Formation in a Two-Layer System: Superposition and Superlattice Patterns,” Phys. Rev. E  70, 046219-1-5 (2004). (PDF)

2003

  1. B. Shargel, H. Sayama, I. R. Epstein and Y. Bar-Yam, “Optimization of Robustness and Connectivity in Complex Networks,” Phys. Rev. Lett. 90, 068701-1-4 (2003). (PDF)

  2. V.K. Vanag and I.R. Epstein, “Dash-waves in a Reaction Diffusion System,” Phys. Rev. Lett. 90, 098301-1-4 (2003). (PDF)

  3. F. Sagués and I. R. Epstein, “Nonlinear Chemical Dynamics,” Dalton Trans. 1201-1217 (2003) (cover article). (PDF)

  4. L. Yang and I.R. Epstein, “Oscillatory Turing Patterns in Reaction-Diffusion Systems with Two Coupled Layers,” Phys. Rev. Lett. 90, 178303-1-4 (2003). (PDF)

  5. I. Berenstein, M. Dolnik, A. M. Zhabotinsky and I. R. Epstein, “Spatial Periodic Perturbation of Turing Pattern Development Using a Striped Mask,” J. Phys. Chem. A 107, 4428-4435 (2003). (PDF)

  6. V.K. Vanag and I.R. Epstein, “Translational and Non-Translational Motion of Perturbed Turing Patterns,” Phys. Rev. E 67, 066219-1-8 (2003). (PDF)

  7. I. Berenstein, L. Yang, M. Dolnik, A.M. Zhabotinsky and I.R. Epstein, “Superlattice Turing Structures in a Photosensitive Reaction-Diffusion System,” Phys. Rev. Lett. 91, 058302-1-4 (2003). (PDF)

  8. I. R. Epstein and V. K. Vanag, “Spatiotemporal Pattern Formation and Chaos in the Belousov-Zhabotinsky Reaction in a Reverse Microemulsion,” in Experimental Chaos: 7th Experimental Chaos Conference, V. In, L. Kocarev, B.J. Gluckman, S. Boccaletti and J. Kurths, eds. AIP Conf. Proc. 676, New York: American Institute of Physics, pp. 265-274 (2003).

  9. A.K. Horváth, I. Nagypál, G. Peintler, I.R. Epstein and K. Kustin, "Kinetics and Mechanism of the Decomposition of Chlorous Acid," J. Phys. Chem. A 107, 6966-6973 (2003). (PDF)

  10. H.G. Rotstein, N. Kopell, A. Zhabotinsky and I.R. Epstein, “A Canard Mechanism for Localization in Systems of Globally Coupled Oscillators,” SIAM J. Appl. Math. 63, 1998-2019 (2003). (PDF)

  11. V.K. Vanag and I.R. Epstein, “Diffusive Instabilities in Heterogeneous Systems,” J. Chem. Phys. 119, 7297-7307 (2003). (PDF)

  12. H.G. Rotstein, N. Kopell, A.M. Zhabotinsky and I.R. Epstein, “Canard Phenomenon and Localization of Oscillations in the Belousov-Zhabotinsky Reaction with Global Feedback,” J. Chem. Phys. 119, 8824-8832 (2003). (PDF)

  13. A.K Horváth, I. Nagypál and I.R. Epstein, “Kinetics and Mechanism of the Chlorine Dioxide-Tetrathionate Reaction,” J. Phys. Chem. A 107, 10063-10068 (2003). (PDF)

  14. I. Szalai, K. Kurin-Csörgei, I.R. Epstein and M. Orbán, “Dynamics and Mechanism of Bromate Oscillators with 1,4-Cyclohexanedione,” J. Phys. Chem. A 107, 10074-10081 (2003). (PDF)

  15. V.K. Vanag and I.R. Epstein, “Segmented Spiral Waves in a Reaction-Diffusion System,” Proc. Nat. Acad. Sci. USA 100, 14635-14638 (2003) (cover article). (PDF)

2002

  1. V.K. Vanag and I.R. Epstein, “Packet Waves in a Reaction-Diffusion System,” Phys. Rev. Lett. 88, 088303-1-4 (2002). (PDF)

  2. G. Peintler, I. Nagypál, I.R. Epstein and K. Kustin, "Extracting Experimental Information from Large Matrices. Part II.  Model-Free Resolution of Absorbance Matrices: M3," J. Phys. Chem. A 106, 3899-3904 (2002). (PDF)

  3. L. Yang, M. Dolnik, A.M. Zhabotinsky and I.R. Epstein, “Spatial Resonances and Superposition Patterns in a Reaction-Diffusion Model with Interacting Turing Modes,” Phys. Rev. Lett. 88, 208303-1-4 (2002). (more ...| PDF)

  4. A.K. Horváth, I. Nagypál and I.R. Epstein, “Oscillatory Photochemical Decomposition of Tetrathionate Ion,” J. Am. Chem. Soc. 124, 10956-10957 (2002). (PDF)

  5. I.R. Epstein, “Oscillations, Waves and Patterns in Chemistry and Biology,” in Structures and Mechanisms: From Ashes to Enzymes, G.R. Eaton, D.C. Wiley and O. Jardetzky, eds., ACS Symp. Ser. Vol. 827, Oxford University Press, 2002, pp. 103-116.

  6. L. Yang, M. Dolnik, A.M. Zhabotinsky and I.R. Epstein, “Pattern Formation Arising from Interactions between Turing and Wave Instabilities,” J. Chem. Phys. 117, 7259-7265 (2002). (more ... | PDF)

  7. V.K. Vanag and I.R. Epstein, “Front Velocity in Models with Quadratic Autocatalysis,” J. Chem. Phys. 117, 8508-8514 (2002). (PDF)

  8. V.K. Vanag and I.R. Epstein, “Comparative Analysis of Packet and Trigger Waves Originating from a Finite Wavelength Instability,” J. Phys. Chem. A 106, 11394-11399 (2002). (PDF)

  9. L. Yang and I.R. Epstein, “Chemical Wave Packet Propagation, Reflection and Spreading,” J. Phys. Chem. A 106, 11676-11682 (2002). ( more ... | PDF)

2001

  1. V. K. Vanag, A. M. Zhabotinsky and I.R. Epstein, “Oscillatory Clusters in the Periodically Illuminated, Spatially Extended Belousov-Zhabotinsky Reaction,” Phys. Rev. Lett. 86, 552-555 (2001). (PDF)

  2. M. Dolnik, A.M. Zhabotinsky and I.R. Epstein, “Resonant Suppression of Turing Patterns by Periodic Illumination,” Phys. Rev. E 63, 026101-1-10 (2001). (PDF)

  3. A. Sanz-Anchelergues, A.M. Zhabotinsky, I. R. Epstein and A. P. Muñuzuri, “Turing Pattern Formation Induced by Spatially Correlated Noise,” Phys. Rev. E. 63, 056124-1-5 (2001). (PDF)

  4. H.G. Rotstein, I. Mitkov, A.M. Zhabotinsky and I.R. Epstein, “Dynamics of Kinks in One- and Two-Dimensional Hyperbolic Models with Quasi-Discrete Nonlinearities,” Phys. Rev. E 63, 066613-1-7 (2001). (PDF)

  5. V.K. Vanag and I.R. Epstein, “Inwardly Rotating Spiral Waves in a Reaction-Diffusion System,” Science 294, 835-837 (2001). (PDF)

  6. V.K. Vanag and I.R. Epstein, "Pattern Formation in a Tunable Reaction-Diffusion Medium: The BZ Reaction in an Aerosol OT Microemulsion," Phys. Rev. Lett. 87, 228301-1-4 (2001). (PDF)

  7. H.G. Rotstein, A.M. Zhabotinsky and I.R. Epstein, “Dynamics of One- and Two-Dimensional Kinks in Bistable Reaction-Diffusion Equations with Quasi-Discrete Sources of Reaction,” Chaos 11, 833-842 (2001). (PDF)

  8. M. Dolnik, I. Berenstein, A.M. Zhabotinsky and I.R. Epstein, “Spatial Periodic Forcing of Turing Structures,” Phys. Rev. Lett. 87, 238301-1-4 (2001). (PDF)

  9. M. Orbán, K. Kurin-Csörgei, A.M. Zhabotinsky, and I.R. Epstein, “A New Chemical System for Studying Pattern Formation: Bromate - Hypophosphite - Acetone - Dual Catalyst,” Faraday Disc. 120, 11-19 (2001). (PDF)

  10. I.R. Epstein, “Nonlinear Chemical Kinetics: Past, Present and Future. Concluding Remarks,” Faraday Disc. 120, 421-425 (2001). (PDF)

2000

  1. M. Dolnik, A.M. Zhabotinsky, A.B. Rovinsky and I.R. Epstein, “Spatio-Temporal Patterns in a Reaction-Diffusion System with Wave Instability,” Chem. Eng. Sci.55, 223-231 (2000). (PDF)

  2. M. Orbán, K. Kurin-Csörgei,  G. Rábái and I.R. Epstein, “Mechanistic Studies of Oscillatory Copper(II) Catalyzed Oxidation Reactions of Sulfur Compounds,” Chem. Eng. Sci. 55, 267-273 (2000). (PDF)

  3. A.K. Horváth, M. Dolnik, A.M. Zhabotinsky and I.R. Epstein, “Kinetics of Photoresponse of the Chlorine Dioxide-Iodine-Malonic Acid Reaction,” J. Phys. Chem. A 104, 5766-5769 (2000). (PDF)

  4. V.K. Vanag, L. Yang, M. Dolnik, A.M. Zhabotinsky and I.R. Epstein, “Oscillatory Cluster Patterns in a Homogeneous Chemical System with Global Feedback,” Nature 406, 389-391 (2000). (PDF)

  5. V.K. Vanag, A.M. Zhabotinsky and I.R. Epstein, “Role of Dibromomalonic Acid in the Photosensitivity of the Ru(bpy)32+-Catalyzed Belousov-Zhabotinsky Reaction,” J. Phys. Chem. A 104, 8207-8215 (2000). (PDF)

  6. V.K. Vanag, A.M. Zhabotinsky and I.R. Epstein, “Pattern Formation in the Belousov-Zhabotinsky Reaction with Photochemical Global Feedback,” J. Phys. Chem. A 104, 11566-11577 (2000). (PDF)

  7. L. Yang, M. Dolnik, A.M. Zhabotinsky and I.R. Epstein, “Oscillatory Clusters in a Model of the Photosensitive Belousov-Zhabotinsky Reaction-Diffusion System with Global Feedback,” Phys. Rev. E 62, 6414-6420 (2000). (PDF)

1999

  1. M. Dolnik, T.S. Gardner, I.R. Epstein and J.J. Collins, “Frequency Control of the Ferrocyanide-Iodate-Sulfite Oscillatory Reaction by Reversible Binding of an Autocatalyst,” Phys. Rev. Lett.  82, 1582-1585 (1999). (PDF)

  2. M. Orbán, K. Kurin-Csörgei,  A.M. Zhabotinsky and I.R. Epstein, “Pattern Formation during Polymerization of Acrylamide in the Presence of Sulfide Ions, “ J. Phys. Chem. B 103, 36-40 (1999). (PDF)

  3. M. Dolnik, A.B. Rovinsky, A.M. Zhabotinsky and I.R. Epstein, “Standing Waves in a Two-Dimensional Reaction-Diffusion Model with the Short-Wave Instability,” J.    Phys. Chem. A 103, 38-45 (1999). (PDF)

  4. I.R. Epstein and J.A. Pojman, “Overview: Nonlinear Dynamics Related to Polymer Systems,” Chaos 9, 255-259 (1999). (PDF)

  5. K. Kurin-Csörgei, M. Orbán,  A.M. Zhabotinsky and I.R. Epstein, “Reply to Comment on: On the Nature of Patterns Arising during Polymerization of Acrylamide in the Presence of the Methylene Blue-Sulfide-Oxygen Oscillating Reaction,” Chem. Phys. Lett. 311, 105-107 (1999). (PDF)

  6. A.P. Muñuzuri, M. Dolnik, A.M. Zhabotinsky and I.R. Epstein, “Control of the Chlorine Dioxide-Iodine-Malonic Acid Oscillating Reaction by Illumination,” J. Am. Chem. Soc. 121, 8065-8069 (1999). (PDF)

  7. A.K. Horváth, M. Dolnik, A. Muñuzuri, A.M. Zhabotinsky and I.R. Epstein, “Control of Turing Structures by Periodic Illumination,” Phys. Rev. Lett. 83, 2950-2952 (1999). (PDF)

1998

  1. M. Dolnik, E.M. Bollt, "Communication with Chemical Chaos in the Presence of Noise"; Chaos 8, 702-710 (1998).

  2. M. Orban, K. Kurin-Csorgei, A.M. Zhabotinsky and I.R. Epstein, "New Indicators for Visualizing Pattern Formation in Uncatalyzed Bromate Oscillatory Systems," J. Am. Chem. Soc. 120, 1146-1150 (1998).

  3. I.R. Epstein and J.A. Pojman, Introduction to Nonlinear Chemical Dynamics. Oscillations, Waves, Patterns and Chaos, Oxford University Press, New York, 1998, 392 pp.

  4. K. Kurin-Csorgei, M. Orban, A.M. Zhabotinsky and I.R. Epstein, "On the Nature of Patterns Arising during Polymerization of Acrylamide in the Presence of the Methylene Blue-Sulfide-Oxygen Oscillating Reaction, " Chem. Phys. Lett.295, 70-74 (1998)

  5. A.B. Rovinsky, A.M. Zhabotinsky and I.R. Epstein, "Stability of Planar Reactive Fronts in External Fields," Phys. Rev. E. 58, 5541-5547 (1998).

  6. T.S. Gardner, M. Dolnik and J.J. Collins, "A Theory for Controlling Cell Cycle Dynamics using a Reversibly Binding Inhibitor," Proc. Nat. Acad. S. 95, 14190 (1998).

1997

  1. I.R.Epstein, K. Kustin and I. Lengyel, "Taube's Influence on the Design of Oscillating Reacions. Chlorine dioxide-Driven Chlorite-Iodide Oscillator and Turing Structures," in "Taube Insights: From Electron Transfer Reactions to Modern Inorganic Chemistry," S. Isied, ed., ACS Advances in Chemistry Series 253, 285-295 (1997).

  2. E.M.Bollt, M. Dolnik M, "Encoding information in chemical chaos by controlling symbolic dynamics," Phys. Rev. E. 55, 6404-6413 (1997).

  3. A. B.Rovinsky, A.M. Zhabotinsky and I.R. Epstein, "Target Patterns Arising from the Short- Wave Instability in Near-Critical Regimes of Reaction-Diffusion Systems," Phys. Rev. E. 56, 2412 (1997).

  4. M. Dolnik, A.S. Banks, I.R. Epstein, "Oscillatory chemical reaction in a CSTR with feedback control of flow rate," J. Phys.Chem. A. 101, 5148-5154 (1997).

  5. K. Kurin-Csorgei, A.M. Zhabotinsky, M. Orban and I.R. Epstein, "Photosensitive, Bubble-free, Bromate-1,4- Cyclohexanedione Oscillating Reactions. Illumination Control of Pattern Formation.," J. Phys. Chem. 101, 6827-6829 (1997).

  6. G. Peintler, I. Nagypal, A. Jancso, I.R. Epstein and K. Kustin, "Extracting Experimental Information from Large Matrices. Part I: A New Algorithm for the Application of Matrix Rank Analysis," J. Phys. Chem. A 101, 8013-8020 (1997).

  7. E.M. Bollt, M. Dolnik, "Learning the grammar of a chaotic dynamical system in a format suitable for controlling symbol dynamics and communications," Proc. 1st International Conference on Controlling Chaotic Oscillations, St. Petersburg, Russia, 1997, pp 573-577.

  8. A. Bugrim, A.M. Zhabotinsky and I.R. Epstein, "Calcium Waves in a Model with a Random Spatially Discrete Distribution of Ca2+ Release Sites," Biophys. J. 73, 2897-2906 (1997).

1996

  1. K.Kurin-Csorgei, A.M. Zhabotinsky, M. Orban and I.R. Epstein, "Bromate-1,4- Cyclohexanedione-Ferroin Gas-free Oscillating Reaction. I. Basic Features and Crossing Wave Patterns in a Reaction Diffusion System without Gel," J. Phys. Chem. 100, 5393-5397 (1996).

  2. I.Lengyel, J. Li, K. Kustin and I.R. Epstein, "Rate Constants for Reactions between Iodine and Chlorine Species: A Detailed Mechanism of the Chlorine Dioxide/Chlorite-Iodide Reaction," J. Am. Chem. Soc. J. Am. Chem. Soc. 118, 3708-3719 (1996).

  3. M.Dolnik, A.M. Zhabotinsky and I.R. Epstein, "Modulated Standing Waves in a Short Reaction-Diffusion System," J. Phys. Chem. 100, 6604-6607 (1996).

  4. I.R.Epstein and K. Showalter, "Nonlinear Chemical Dynamics: Oscillations, Patterns and Chaos," J. Phys. Chem. 100, 13132-13147 (1996).

  5. M.Dolnik, A.M. Zhabotinsky and I.R. Epstein, "Modulated and Alternating Waves in a Reaction-Diffusion Model with the Wave Instability," J. Chem. Soc. Faraday Trans. 2919- 2925 (1996).

  6. K.Kurin-Csorgei, M. Orban, G. Rabai and I.R. Epstein, "Model for the Oscillatory Reaction between Hydrogen Peroxide and Thiosulfate Catalyzed by Copper(II) Ions," J. Chem. Soc. Faraday Trans. 2851-2855 (1996).

  7. M.Orban, M. Dolnik and I.R. Epstein, "Reply to 'Mechanism of the Oscillatory Bromate Oxidation of Sulfite and Ferrocyanide in a CSTR'" J. Phys. Chem. 100, 16443 (1996).

  8. M. Dolnik and I.R. Epstein, "Coupled Chaotic Chemical Oscillators," Phys. Rev. E. 54, 3361-3368 (1996).

  9. A.E.Bugrim, M. Dolnik, A.M. Zhabotinsky and I.R. Epstein, "Heterogeneous Sources of Target Patterns in Reaction-Diffusion Systems," J. Phys. Chem. 100, 19017-19022 (1996).

1995

  1. I. Lengyel and I.R. Epstein, "The Chemistry behind the First Experimental Examples of Turing Patterns," in Chemical Waves and Patterns, R. Kapral and K. Showalter, eds., Kluwer, Dordrecht, Holland, 1995, pp. 297-322.

  2. M. Orban and I.R. Epstein, "A New Bromite Oscillator. Large Amplitude pH Oscillations in the Bromite-Thiosulfate Flow System," J. Phys. Chem. 99, 2358-2362 (1995).

  3. S. Kadar, I. Lengyel and I.R. Epstein, "Modeling of Transient Turing-Type Patterns in the Closed Chlorine Dioxide-Iodine-Malonic Acid-Starch Reaction System," J. Phys. Chem. 99, 4054-4058 (1995).

  4. I.R. Epstein, "The Consequences of Imperfect Mixing in Autocatalytic Chemical and Biological Systems," Nature 374, 321-327 (1995).

  5. I.R. Epstein and I. Lengyel, "Turing Structures - Progress toward a Room Temperature, Closed System," Physica D 84, 1-11 (1995).

  6. A. Bugrim, A.M. Zhabotinsky and I.R. Epstein, "Interference in Crossing Trigger Waves in Mutilayer Reaction-Diffusion Systems," Phys. Rev. Lett. 75, 1206-1209 (1995).

  7. A.E. Bugrim, A.M. Zhabotinsky and I.R. Epstein, "Mechanism for Spontaneous Formation of Crossing Chemical Waves in a Stratified Reaction-Diffusion System," J. Phys. Chem. 99, 15930-15933 (1995).

  8. I. Lengyel, L. Gyorgyi and I.R. Epstein, "Analysis of a Proposed Model of Chlorite-Based Chaotic Chemical Oscillators," J. Phys. Chem. 99, 12806-12808 (1995).

  9. F. Buchholtz, M. Dolnik and I.R. Epstein, "Diffusion-Induced Instabilities near a Canard," J. Phys. Chem. 99, 15093-15101 (1995).

  10. A.M. Zhabotinsky, M. Dolnik and I.R. Epstein, "Pattern Formation Arising from Wave Instability in a Simple Reaction-Diffusion System," J. Chem. Phys. 103, 10306-10314 (1995).

1994

  1. R.B. Faria, I.R. Epstein and K. Kustin, "Kinetics of Disproportionation and pKa of Bromous Acid," J. Phys. Chem. 98, 1363-1367 (1994).

  2. R.H. Simoyi, I.R. Epstein and K. Kustin, "Kinetics and Mechanism of the Oxidation of Thiourea by Bromate in Acidic Solution," J. Phys. Chem. 98, 551-557 (1994).

  3. M. Dolnik, J. Kosek, V. Votrubova, M. Marek "Spatiotemporal patterns in simple reaction cell arrays with time delay" J. Phys. Chem. 98, 3707-3715 (1994).

  4. M. Orban and I.R. Epstein, "Simple and Complex pH Oscillations and Bistability in the Phenol-Perturbed Bromite-Hydroxylamine Reaction," J. Phys. Chem. 98, 2930-2935 (1994).

  5. C.G. Hocker, I.R. Epstein, K. Kustin and K. Tornheim, "Glycolytic pH Oscillations in a Flow Reactor," Biophys. Chem. 51, 21-35 (1994).

  6. A.M. Zhabotinsky, L. Gyorgyi, M. Dolnik and I.R. Epstein, "Stratification in a Thin-Layered Excitable Reaction-Diffusion System with Transverse Concentration Gradients," J. Phys. Chem. 98, 7981-7990 (1994).

  7. M. Dolnik, L.F. Abbott and I.R. Epstein, "Concentration-Dependent Regulation of Flow Rate in a Chemical Oscillator," J. Phys. Chem. 98, 10124-10130 (1994).

  8. M.D. Eager, M. Santos, M. Dolnik, A.M. Zhabotinsky, K. Kustin and I.R. Epstein, "Dependence of Wave Speed on Acidity and Initial Bromate Concentration in the Belousov- Zhabotinsky Reaction-Diffusion System," J. Phys. Chem. 98, 10750-10755 (1994).

1993

  1. I. Lengyel, S. Kadar and I.R. Epstein, "Transient Turing Structures in a Gradient-Free Closed System," Science, 259, 493-495 (1993).

  2. M. Dolnik and I.R. Epstein, "A Coupled Chemical Burster: The Chlorine Dioxide-Iodine Reaction in Two Flow Reactors," J. Chem. Phys. 98, 1149-1155 (1993).

  3. R.J. Olsen and I.R. Epstein, "Bifurcation Analysis of Chemical Reaction Mechanisms. 2. Hopf Bifurcation Analysis," J. Chem. Phys. 98, 2805-2822 (1993).

  4. R.B. Faria, I.R. Epstein and K. Kustin, "Combined Mechanism Explaining Nonlinear Dynamics in Bromine(III) and (V) Oxidations of Iodide Ion," J. Phys. Chem. 97, 1164-1171 (1993).

  5. I.R. Epstein and M. Golubitsky, "Symmetric Patterns in Linear Arrays of Coupled Cells," Chaos 3, 1-5 (1993).

  6. E. Marder, L.F. Abbott, F. Buchholtz, I.R. Epstein, J. Golowasch, S.L. Hooper and T. Kepler, "Physiological Insights from Cellular and Network Models of the Stomatogastric Nervous System of Lobsters and Crabs," Am. Zool. 33, 23-39 (1993).

  7. I. Lengyel and I.R. Epstein, "Turing Structures in Simple Chemical Reactions," Accts. Chem. Res. 26, 235-240 (1993).

  8. A.M. Zhabotinsky, F. Buchholtz, A. Kiyatkin and I.R. Epstein, "Oscillations and Waves in Metal-Ion-Catalyzed Bromate Oscillating Reactions in Highly Oxidized States," J. Phys. Chem. 97, 7578-7584 (1993).

  9. A.M. Zhabotinsky, M.D. Eager and I.R. Epstein, "Refraction and Reflection of Chemical Waves," Phys. Rev. Lett. 71, 1526-1529 (1993).

  10. I. Lengyel, I.R. Epstein and K. Kustin, "Kinetics of Iodine Hydrolysis," Inorg. Chem. 32, 5880-5882 (1993).

1992

  1. F. Buchholtz, J. Golowasch, I.R. Epstein and E. Marder, "Mathematical Model of an Identified Stomatogastric Ganglion Neuron," J. Neurophysiol. 67, 332-340 (1992).

  2. J. Golowasch, F. Buchholtz, I.R. Epstein and E. Marder, "Contribution of Individual Ionic Currents to the Activity of a Model Stomatogastric Ganglion Neuron," J. Neurophysiol. 67, 341-349 (1992).

  3. M. Orban and I.R. Epstein, "A New Type of Oxyhalogen Oscillator: The Bromite-Iodide Reaction in a CSTR," J. Am. Chem. Soc. 114, 1252-1256 (1992).

  4. G. Rabai and I.R. Epstein, "pH Oscillations in a Semibatch Reactor," J. Am. Chem. Soc. 114, 1529-1530 (1992).

  5. M. Dolnik, M. Marek and I.R. Epstein, "Resonances in Periodically Forced Excitable Systems," J. Phys. Chem. 96, 3218-3224 (1992).

  6. I. Lengyel and I.R. Epstein, "A Chemical Approach to Designing Turing Patterns in Reaction-Diffusion Systems," Proc. Natl. Acad. Sci. USA. 89, 3977-3979 (1992).

  7. I.R. Epstein, "Delay Effects and Differential Delay Equations in Chemical Kinetics," Int. Rev. Phys. Chem. 11, 135-160 (1992).

  8. G. Rabai, M Orban and I.R. Epstein, "A Model for the pH-Regulated Oscillatory Reaction between Hydrogen Peroxide and Sulfide Ion," J. Phys. Chem. 96, 5414-5419 (1992).

  9. I.R. Epstein, K. Kustin and R.H. Simoyi, "Kinetics and Mechanism of the Chlorite-Thiourea Reaction in Acidic Medium," J. Phys. Chem. 96, 5852-5856 (1992).

  10. G. Rabai and I.R. Epstein, "Equilibria and Kinetics of the Fast Interaction between Copper(II) and Thiosulfate Ions in Aqueous Solution," Inorg. Chem. 31, 3239-3242 (1992).

  11. I.R. Epstein, K. Kustin and R.H. Simoyi, "Kinetics and Mechanism of the Reaction of Bromine with Thiocyanate," J. Phys. Chem. 96, 6326-6331 (1992).

  12. I. Lengyel, J. Li and I.R. Epstein, "Dynamical Study of the Chlorine Dioxide-Iodide Open System Oscillator," J. Phys. Chem. 96, 7032-7037 (1992).

  13. M. Dolnik and I.R. Epstein, "Excitability and Bursting in the Chlorine Dioxide-Iodide Reaction in a Forced CSTR," J. Chem. Phys. 97, 3265-3273 (1992).

  14. R.B. Faria, I.R. Epstein and K. Kustin, "The Bromite-Iodide Clock Reaction," J. Am. Chem. Soc. 114, 7164-7171 (1992).

  15. R.B. Faria, I.R. Epstein and K. Kustin, "Determination of the pKa of Bromous Acid," J. Phys. Chem. 96, 6861-6863 (1992).

  16. I.R. Epstein, I. Lengyel, S. Kadar, M. Kagan and M. Yokoyama, "New Systems for Pattern Formation Studies," Physica A 188, 26-33 (1992).

  17. I. Lengyel, S. Kadar and I.R. Epstein, "Quasi-Two-Dimensional Turing Patterns in an Imposed Gradient," Phys. Rev. Lett. 69, 2729-2731 (1992).

1991

  1. R. H. Simoyi, M. Manyonda, J. Masere, M. Mtambo, I. Ncube, H. Patel, I. R. Epstein and K. Kustin, "Kinetics and Mechanism of the Oxidation of Thiocyanate by Iodate," J. Phys. Chem. 95, 770-774 (1991).

  2. M.L. Kagan, T.B. Kepler and I.R. Epstein, "Geometric Phase Shifts in Chemical Oscillators," Nature 349, 506-508 (1991).

  3. J. A. Pojman, I. R. Epstein, T. J. McManus and K. Showalter, "Convective Effects on Chemical Waves. 2. Simple Convection in the Iodate-Arsenous Acid System," J. Phys. Chem. 95, 1299-1306 (1991).

  4. J. A. Pojman, I. P. Nagy and I. R. Epstein, "Convective Effects on Chemical Waves. 3. Multicomponent Convection in the Iron(II)-Nitric Acid System," J. Phys. Chem. 95, 1306- 1311 (1991).

  5. I. Lengyel and I.R. Epstein, "Modeling of Turing Structures in the Chlorite-Iodide-Malonic Acid-Starch Reaction System," Science 251, 650-652 (1991).

  6. R.J. Olsen and I.R. Epstein, "Bifurcation Analysis of Chemical Reaction Mechanisms. 1. Steady State Bifurcation Structure," J. Chem. Phys. 94, 3083-3095 (1991).

  7. Y. Luo and I.R. Epstein, "A General Model for pH Oscillators," J. Am. Chem. Soc. 113, 1518-1522 (1991).

  8. I.R. Epstein, "Chemical Chaos," Chem. & Ind. 157-162 (1991).

  9. M. Orban, I. Lengyel and I.R. Epstein, "A Transition Metal Oscillator: Oscillatory Oxidation of Manganese(II) by Periodate in a CSTR," J. Am. Chem. Soc. 113, 1978-1982 (1991).

  10. I.R. Epstein, "Spiral Waves in Chemistry and Biology," Science 252, 67 (1991).

  11. J.A. Pojman, I. R. Epstein, Y. Karni and E. Bar-Ziv, "Stochastic Coalescence-Redispersion Model for Molecular Diffusion and Chemical Reaction. II. Chemical Waves," J. Phys. Chem. 95, 3017-21 (1991).

  12. I.R. Epstein and Y. Luo, "Differential Delay Equations in Chemical Kinetics. Nonlinear Models: The Cross-Shaped Phase Diagram and the Oregonator," J. Chem. Phys. 95, 244-254 (1991).

  13. I. Lengyel and I.R. Epstein, "Diffusion Induced Instability in Chemically Reacting Systems: Steady State Multiplicity, Oscillation and Chaos," Chaos. 1, 69-76 (1991).

  14. C.J. Doona, K. Kustin, M. Orban and I.R. Epstein, "Newly Designed Permanganate- Reductant Chemical Oscillators," J. Am. Chem. Soc. 113, 7484-7489 (1991).

  15. I.R. Epstein, "Nonlinear Oscillations in Chemical and Biological Systems," Physica D 51, 152-160 (1991).

  16. T.B. Kepler, M.L. Kagan and I.R. Epstein, "Geometric Phases in Dissipative Systems," Chaos 1, 455-461. (1991).

  17. A.M.Zhabotinsky, "A History of Chemical Oscillations and Waves", Chaos, 1, 379-386 (1991).

1990

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