BIFURCATION ANALYSIS OF THE PROPAGATING WAVE AND THE SWITCHING SOLUTIONS IN A RING OF SIX-COUPLED BISTABLE OSCILLATORS — BIFURCATION STARTING FROM TYPE 2 STANDING WAVE SOLUTION

DOI10.1142/S0218127412501234zbMath1258.34070MaRDI QIDQ4908746

Motomasa Komuro, Tetsuro Endo, Kyohei Kamiyama

Publication date: 6 March 2013

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

propagating waveheteroclinic bifurcationbistable oscillatorswitching solutionbifurcation of quasi-periodic solutionchaotic invariant closed circlering coupling

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items

BIFURCATION ANALYSIS OF THE QUASI-PERIODIC SOLUTION WITH THREE-PHASE SYNCHRONIZED ENVELOPES IN A RING OF THREE-COUPLED, BISTABLE OSCILLATORS ⋮ SUPERCRITICAL PITCHFORK BIFURCATION OF THE QUASI-PERIODIC SWITCHING SOLUTION IN A RING OF SIX-COUPLED, BISTABLE OSCILLATORS ⋮ ALGORITHMS FOR OBTAINING A SADDLE TORUS BETWEEN TWO ATTRACTORS

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Propagation and Its Failure in Coupled Systems of Discrete Excitable Cells
• Chaotic Pulses for Discrete Reaction Diffusion Systems