Chimeras in Two-Dimensional Domains: Heterogeneity and the Continuum Limit
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Publication:5266357
DOI10.1137/16M1086662zbMath1392.34035OpenAlexW2616393164MaRDI QIDQ5266357
Publication date: 2 June 2017
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/16m1086662
Integro-partial differential equations (45K05) Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Synchronization of solutions to ordinary differential equations (34D06)
Related Items (14)
Sparse Monte Carlo Method for Nonlocal Diffusion Problems ⋮ Circular cumulant reductions for macroscopic dynamics of Kuramoto ensemble with multiplicative intrinsic noise ⋮ The mathematics behind chimera states ⋮ Rotating Waves of Nonlocally Coupled Oscillators on the Annulus ⋮ A numerical method for a nonlocal diffusion equation with additive noise ⋮ Chimeras and solitary states in 3D oscillator networks with inertia ⋮ Stability of Spiral Chimera States on a Torus ⋮ Traveling chimera states in continuous media ⋮ Chimera state on a spherical surface of nonlocally coupled oscillators with heterogeneous phase lags ⋮ Quantifying the transition from spiral waves to spiral wave chimeras in a lattice of self-sustained oscillators ⋮ Emergence of Stripe-Core Mixed Spiral Chimera on a Spherical Surface of Nonlocally Coupled Oscillators ⋮ Spiral wave chimera in two-dimensional nonlocally coupled FitzHugh-Nagumo systems ⋮ Spiral wave chimeras induced by heterogeneity in phase lags and time delays ⋮ Collective in-plane magnetization in a two-dimensional XY macrospin system within the framework of generalized Ott–Antonsen theory
Cites Work
- Unnamed Item
- Numerical bifurcation theory for high-dimensional neural models
- Fronts and bumps in spatially extended Kuramoto networks
- Chemical oscillations, waves, and turbulence
- The dynamics of chimera states in heterogeneous Kuramoto networks
- Self-organized partially synchronous dynamics in populations of nonlinearly coupled oscillators
- Singularities and groups in bifurcation theory. Volume I
- Bifurcations and dynamics of spiral waves
- Constants of motion for superconducting Josephson arrays
- From Kuramoto to Crawford: Exploring the onset of synchronization in population of coupled oscillators
- Standing and travelling waves in a spherical brain model: the Nunez model revisited
- Chimeras in random non-complete networks of phase oscillators
- Spectral properties of chimera states
- Partially coherent twisted states in arrays of coupled phase oscillators
- Weak chimeras in minimal networks of coupled phase oscillators
- Coherence–incoherence patterns in a ring of non-locally coupled phase oscillators
- Disorder-induced dynamics in a pair of coupled heterogeneous phase oscillator networks
- Exact Neural Fields Incorporating Gap Junctions
- Logically Rectangular Grids and Finite Volume Methods for PDEs in Circular and Spherical Domains
- Bifurcation to Spiral Waves in Reaction-Diffusion Systems
- NUMERICAL ANALYSIS AND CONTROL OF BIFURCATION PROBLEMS (I): BIFURCATION IN FINITE DIMENSIONS
- Integrability of a globally coupled oscillator array
- Symmetry and chaos in the complex Ginzburg-Landau equation - I. Reflectional symmetries
- Chimeras and solitary states in 3D oscillator networks 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
- Chimera states in heterogeneous networks
- Dynamics and pattern formation in large systems of spatially-coupled oscillators with finite response times
- The dynamics of network coupled phase oscillators: An ensemble approach
- Waves and Patterns on Regular Graphs
- Complete Classification of the Macroscopic Behavior of a Heterogeneous Network of Theta Neurons
- CHIMERA STATES IN A RING OF NONLOCALLY COUPLED OSCILLATORS
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