Symmetry breaking bifurcation for coupled chaotic attractors
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- Type
- article
- Published
- 1991-10-07
- Cited by
- 156
- References
- 17
- OpenAlex
- https://openalex.org/W1963741206
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:120368576
Keywords
Symmetry breaking, Bifurcation, Attractor, Chaotic, Symmetry (geometry)
References
- Dimensions and entropies of strange attractors from a fluctuating dynamics approach
- Observation of chaotic dynamics of coupled nonlinear oscillators.
- On the concept of attractor
- Fluctuations of dynamical scaling indices in nonlinear systems.
- Stability Theory of Synchronized Motion in Coupled-Oscillator Systems. III Mapping Model for Continuous System
- New method for determining the largest Liapunov exponent of simple nonlinear systems.
- On the interaction of strange attractors
- Synchronization and chaos in coupled nonlinear oscillators
- Small random perturbations of dynamical systems and the definition of attractors
- Angular distribution of photoelectrons in the resonance ionization of helium and helium-like lithium to the n=2 states of residual ions
- On the nature of turbulence
- Crises and Hysteresis in Coupled Logistic Maps
- Some exact results on discrete noisy maps
- Intermittency Caused by Chaotic Modulation. II ---Lyapunov Exponent, Fractal Structure and Power Spectrum---
- Stability Theory of Synchronized Motion in Coupled-Oscillator Systems. II: The Mapping Approach
- Statistical Dynamics Generated by Fluctuations of Local Lyapunov Exponents
- Spatiotemporal chaos in one-and two-dimensional coupled map lattices
- Stability Theory of Synchronized Motion in Coupled-Oscillator Systems
Cited by
- Synchronization of non-phase-coherent chaotic electrochemical oscillations.
- Structure of the Phase Portrait of an Endomorphism of the Plane at the Moment of Bifurcation of Its Diagonal Attractor
- Sincronização de sistemas dinâmicos caóticos por ligação unidireccional e bidireccional
- Border collision bifurcations in piecewise smooth systems
- Exact invariant measures: How the strength of measure settles the intensity of chaos.
- Noise-induced cooperative dynamics and its control in coupled electrochemical models
- Symmetry‐breaking bifurcations and representativefirm in dynamic duopoly games
- Error feedback chaos synchronization: a simple way to compute the existence region of 1D chaotic attractors in 2D-maps
- Spatio Temporal Chaos and Vacuum Fluctuations of Quantized Fields
- Checkerboard Spiral Waves in a 2D Coupled Map Lattice
- Nonlinearly driven transverse synchronization in coupled chaotic systems
- Threshold synchronization of chaotic relaxation oscillations
- Ragged synchronizability of coupled oscillators.
- On the synchronization of logistic maps
- Using chaos to produce synchronized stochastic dynamics in non-homogeneous map arrays with a random scalar coupling
- A Novel Method for the Topographic Analysis of Neural Activity Reveals Formation and Dissolution of ‘Dynamic Cell Assemblies’
- Some global properties of a pair of coupled maps: quasi-symmetry, periodicity, and synchronicity
- Spontaneous symmetry breaking in a coupled map lattice simulation of quantized Higgs fields
- Blowout bifurcations: the occurrence of riddled basins and on-off intermittency
- Riddled-like Basin in Two-Dimensional Map for Bouncing Motion of an Inelastic Particle on a Vibrating Board
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