Basins of attraction for chimera states

DOI10.1088/1367-2630/18/2/022002zbMath1456.34034arXiv1507.01457OpenAlexW2263579943WikidataQ57862699 ScholiaQ57862699MaRDI QIDQ5854948

Erik Andreas Martens, Mark J. Panaggio, Daniel M. Abrams

Publication date: 12 March 2021

Published in: New Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.01457

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Symmetries and invariants of dynamical systems (37C79)

Related Items (17)

Coriolis coupling in a Hénon-Heiles system ⋮ Chimera states in multi-strain epidemic models with temporary immunity ⋮ The mathematics behind chimera states ⋮ An investigation of synchronization robustness considering randomness and asymmetries ⋮ Mean-field coupled systems and self-consistent transfer operators: a review ⋮ Potentials and limits to basin stability estimation ⋮ Understanding the dynamics of biological and neural oscillator networks through exact mean-field reductions: a review ⋮ Chimera states in two populations with heterogeneous phase-lag ⋮ Basin of attraction for chimera states in a network of Rössler oscillators ⋮ Chimeras in multivariable coupled Rössler oscillators ⋮ Chimeras ⋮ Chimera-like states in structured heterogeneous networks ⋮ Riddling: Chimera’s dilemma ⋮ Chimera states in a Duffing oscillators chain coupled to nearest neighbors ⋮ Chimeras confined by fractal boundaries in the complex plane ⋮ Self-emerging symmetry breakings in a two-population network of phase oscillators interacting via an external environment ⋮ Birth and destruction of collective oscillations in a network of two populations of coupled type 1 neurons

Cites Work

• Unnamed Item
• Dynamics of pattern formation in lateral-inhibition type neural fields
• Constants of motion for superconducting Josephson arrays
• The transition to chaotic attractors with riddled basins
• Stationary Bumps in Networks of Spiking Neurons
• Chimeras in random non-complete networks of phase oscillators
• Chimera States in Networks of Nonlocally Coupled Hindmarsh–Rose Neuron Models
• Controlling chimeras
• Chimera states in coupled Kuramoto oscillators with inertia
• Chimera states: coexistence of coherence and incoherence in networks of coupled oscillators
• Low dimensional behavior of large systems of globally coupled oscillators
• Long time evolution of phase oscillator systems
• Chimeras in a network of three oscillator populations with varying network topology
• Chimera states in heterogeneous networks
• Comment on “Long time evolution of phase oscillator systems” [Chaos 19, 023117 (2009)]
• A SURVEY OF METHODS FOR COMPUTING (UN)STABLE MANIFOLDS OF VECTOR FIELDS

This page was built for publication: Basins of attraction for chimera states