I. Jumping oscillon (JO) demonstration

JO arises in a 3-component RD system. To see how it is generated, you can simply download a demonstration program, PDEs.exe.

Run it, you will see

1. an animation of space x (horizontal) v.s. concentration u (vertical), and
2. a spatiotemporal (x-axis for space, y-axis for time)

Detail

1. The model is a standard reaction-diffusion model.
   
2. where parameters are
   
3. System size: 128 space units (s.u.) simulated by 256 pixels
4. Space discrete: dx=0.5 s.u./pixel
5. Integral: Eular method with time step dt=0.001 per time unit.
6. The initial conditions: put everywhere (u,v,w) to the steady state u_ss=v_ss=w_ss=-0.8 except for u a step (left 30 s.u.) to -0.2 as the animation shows at t=0.
   
7. The boundary conditions: zero-flux boundary at two ends. Later, when the JO is close the right end, it is switched to a periodic boundary so that the JO can keep jumping.

Click "reload" button to repeat the animation, or

click "Back" button, back to the previous page, or

choose a link at your wish.

1. Jumping oscillon (JO) demonstration (detail).
2. How to create a soliton ?
3. How to generate a standard oscillon in the quintic complex Ginzburg-Landau (GL) equation?
4. A propagating oscillon (PO) is generated by symmetry breaking of a standard oscillon.