Dynamical transitions in large systems of mean field-coupled Landau-Stuart oscillators: Extensive chaos and cluster states
DOI10.1063/1.4938534zbMath1374.34110arXiv1412.3803OpenAlexW1502458933WikidataQ50744765 ScholiaQ50744765MaRDI QIDQ4591817
Wai Lim Ku, Michelle Girvan, Edward Ott
Publication date: 17 November 2017
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1412.3803
Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28) Attractors of solutions to ordinary differential equations (34D45)
Related Items (11)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Globally coupled circle maps
- Clustering, coding, switching, hierarchical ordering, and control in a network of chaotic elements
- The Lyapunov dimension of strange attractors
- Dimension formula for random transformations
- Dynamics of a large system of coupled nonlinear oscillators
- Fractal distribution of floaters on a fluid surface and the transition to chaos for random maps
- Anomalous Lyapunov spectrum in globally coupled oscillators
- Information cascade with marginal stability in a network of chaotic elements
- On the strength of attractors in a high-dimensional system: Milnor attractor network, robust global attraction, and noise-induced selection.
- From collective oscillations to collective chaos in a globally coupled oscillator system
- Collective Lyapunov modes
- Coupled skinny baker's maps and the Kaplan–Yorke conjecture
- Phase and amplitude dynamics in large systems of coupled oscillators: Growth heterogeneity, nonlinear frequency shifts, and cluster states
- Determining modes and fractal dimension of turbulent flows
- Transition to chaos for random dynamical systems
- Phase diagram for the collective behavior of limit-cycle oscillators
- Sensitive dependence on initial conditions in transition to turbulence in pipe flow
- Chaos in Dynamical Systems
- Crises, sudden changes in chaotic attractors, and transient chaos
- Low dimensional description of pedestrian-induced oscillation of the Millennium Bridge
- Invariant submanifold for series arrays of Josephson junctions
- The Onset of Turbulence in Pipe Flow
This page was built for publication: Dynamical transitions in large systems of mean field-coupled Landau-Stuart oscillators: Extensive chaos and cluster states