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Transverse coupling of chemical waves
Vilmos Gaspar1, Jerzy Maselko, Kenneth Showalter
1Department of Chemistry, West Virginia University, Morgantown, West Virginia 26506-6045.
Chaos (Woodbury, N.Y.)
|December 1, 1991
Summary
Investigating transverse coupling in excitable media reveals new spatiotemporal behaviors. Diffusing chemical waves through membranes spontaneously form complex patterns and spiral waves, showing unique entrainment dynamics.
Area of Science:
- Physical Chemistry
- Chemical Kinetics
- Nonlinear Dynamics
Background:
- Excitable media exhibit wave propagation phenomena.
- Chemical waves can interact and influence each other.
- Semipermeable membranes facilitate diffusion-controlled coupling.
Purpose of the Study:
- To investigate the transverse coupling of chemical waves in an excitable medium model.
- To explore the novel spatiotemporal behaviors arising from wave interactions across a membrane.
- To analyze pattern formation and dynamics in coupled chemical wave systems.
Main Methods:
- Utilizing a model scheme for excitable media.
- Simulating chemical wave propagation and diffusion across a semipermeable membrane.
- Analyzing pattern evolution and wave source development.
Main Results:
- Spontaneous wave sources emerge from interacting planar waves, leading to complex, perturbation-dependent patterns.
- Coupled circular waves spontaneously form spiral waves, creating distinct domain patterns.
- Long-term analysis of coupled spiral waves shows 1:2 phase locking entrainment behavior.
Conclusions:
- Transverse coupling in excitable media generates rich and complex spatiotemporal dynamics.
- Membrane-mediated diffusion is a key mechanism for pattern formation and wave source generation.
- The study elucidates novel behaviors including spontaneous pattern emergence and phase locking in chemical wave systems.