Chaotic weak chimeras and their persistence in coupled populations of phase oscillators

DOI10.1088/0951-7715/29/5/1468zbMath1355.37041arXiv1509.08824OpenAlexW3100698894MaRDI QIDQ2811971

Christian Bick, Peter Ashwin

Publication date: 9 June 2016

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.08824

zbMATH Keywords

chaotic dynamicspersistencephase oscillatorschimera states

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Singular perturbations of ordinary differential equations (34D15) Generic properties, structural stability of dynamical systems (37C20) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (19)

From Symmetric Networks to Heteroclinic Dynamics and Chaos in Coupled Phase Oscillators with Higher-Order Interactions ⋮ Existence and stability of chimera states in a minimal system of phase oscillators ⋮ The mathematics behind chimera states ⋮ Synchronization for networks of globally coupled maps in the thermodynamic limit ⋮ Chimera dynamics of generalized Kuramoto–Sakaguchi oscillators in two-population networks ⋮ Mean-field coupled systems and self-consistent transfer operators: a review ⋮ Collective dynamics and bifurcations in symmetric networks of phase oscillators. I ⋮ Understanding the dynamics of biological and neural oscillator networks through exact mean-field reductions: a review ⋮ Chaos in generically coupled phase oscillator networks with nonpairwise interactions ⋮ Chimera states in two populations with heterogeneous phase-lag ⋮ Collective dynamics and bifurcations in symmetric networks of phase oscillators. II ⋮ Variety of rotation modes in a small chain of coupled pendulums ⋮ Isotropy of angular frequencies and weak chimeras with broken symmetry ⋮ Chaos in Kuramoto oscillator networks ⋮ Heteroclinic dynamics of localized frequency synchrony: heteroclinic cycles for small populations ⋮ Heteroclinic dynamics of localized frequency synchrony: stability of heteroclinic cycles and networks ⋮ Transient chimera-like states for forced oscillators ⋮ Multi-headed loop chimera states in coupled oscillators ⋮ Chimera states through invariant manifold theory

This page was built for publication: Chaotic weak chimeras and their persistence in coupled populations of phase oscillators