Symmetry breaking, bifurcations, quasiperiodicity, and chaos due to electric fields in a coupled cell model.

摘要: A model for the asymmetric coupling of two oscillatory cells is considered. The between both through diffusional exchange (symmetric) and electromigration ionic reactant species from one cell to other (asymmetric) in applied electric fields. kinetics each are same based on Gray–Scott scheme. Without field, only simple, stable dynamics seen. effect asymmetry (applying fields) create a wide variety dynamics, multistability, multiperiodic oscillations, quasiperiodicity chaos being observed, this complexity response more prevalent at weaker rates field strengths. results obtained using standard dynamical systems continuation program, though asymptotic strong These seen agree well with numerically determined values appropriate parameter regimes.