Self-organized pacemakers in birhythmic media

DOI10.1016/S0167-2789(02)00549-3zbMath1008.37030OpenAlexW2159100687MaRDI QIDQ696080

Mads Ipsen, Michael Stich, Alexander S. Mikhailov

Publication date: 10 September 2002

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(02)00549-3

zbMATH Keywords

limit cyclesreaction-diffusion systemnumerical simulationsinstabilitiesbirhythmic dynamical systemssupercritical pitchfork-Hopf bifurcation

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Dynamical systems in biology (37N25) Simulation of dynamical systems (37M05) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (5)

Chimera states under genuine local coupling ⋮ Effects of noise correlation on the coherence of a forced van der Pol type birhythmic system ⋮ Control of pattern formation by time-delay feedback with global and local contributions ⋮ Birhythmicity, synchronization, and turbulence in an oscillatory system with nonlocal inertial coupling ⋮ Suppressing birhythmicity by parametrically modulating nonlinearity in limit cycle oscillators

Cites Work

• Unnamed Item
• Chemical oscillations, waves, and turbulence
• Stable autonomous pacemakers in the enlarged Ginzburg-Landau model
• The Eckhaus instability for traveling waves
• Foundations of synergetics. I: Distributed active systems.
• Amplitude equations for description of chemical reaction-diffusion systems
• Amplitude equations for reaction-diffusion systems with a Hopf bifurcation and slow real modes
• The world of the complex Ginzburg-Landau equation
• Birhythmicity, chaos, and other patterns of temporal self-organization in a multiply regulated biochemical system.
• Elements of applied bifurcation theory

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