BIFURCATION AND CHAOS IN COUPLED BVP OSCILLATORS

DOI10.1142/S0218127404009983zbMath1086.37530OpenAlexW2009694321MaRDI QIDQ4668989

Hisayo Miyazaki, Tetsushi Ueta, Hiroshi Kawakami, Takuji Kousaka

Publication date: 15 April 2005

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

Full work available at URL: https://doi.org/10.1142/s0218127404009983

zbMATH Keywords

periodic solutionsstrange attractorscouplingchaotic attractorsequilibriaBifurcation diagramsBonhoeffer-van der Pol oscillatorperiod-doubling cascadesscroll attractor

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28) Dynamical aspects of attractors and their bifurcations (37G35)

Related Items (13)

Bifurcation analysis of eight coupled degenerate optical parametric oscillators ⋮ Transient chaotic rotating waves in a ring of unidirectionally coupled symmetric Bonhoeffer-van der Pol oscillators near a codimension-two bifurcation point ⋮ BIFURCATION ANALYSIS OF CURRENT COUPLED BVP OSCILLATORS ⋮ Hyperbolic chaos in a system of resonantly coupled weakly nonlinear oscillators ⋮ Contraction theory based synchronization analysis of impulsively coupled oscillators ⋮ Dynamical Behaviors in Coupled FitzHugh-Nagumo Neural Systems with Time Delays ⋮ Stability switches and Hopf bifurcation in a coupled FitzHugh-Nagumo neural system with multiple delays ⋮ Can a Pseudo Periodic Orbit Avoid a Catastrophic Transition? ⋮ Periodic oscillation analysis for a coupled FHN network model with delays ⋮ Bautin bifurcation analysis for synchronous solution of a coupled FHN neural system with delay ⋮ Hopf bifurcation analysis in a synaptically coupled FHN neuron model with delays ⋮ Bifurcation Analysis of the Nagumo–Sato Model and Its Coupled Systems ⋮ Autapse-Induced Complicated Oscillations of a Ring FHN Neuronal Network with Multiple Delayed Couplings

Cites Work

• Qualitative investigation of a particular nonlinear system
• Mode analysis of a ring of a large number of mutually coupled van der Pol oscillators

This page was built for publication: BIFURCATION AND CHAOS IN COUPLED BVP OSCILLATORS