Synchronizing Moore and Spiegel

DOI10.1063/1.166271zbMath0938.37018OpenAlexW2012001772WikidataQ52015500 ScholiaQ52015500MaRDI QIDQ4936412

Richard V. Craster, Neil J. Balmforth

Publication date: 8 February 2000

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/8be89e666be30d4e3fe66fe0a67610a439f6d8c5

zbMATH Keywords

oscillatorsynchronizationhomoclinic bifurcationsperiod-doublingsaddle-nodecomplicated patternsMoore-Spiegel oscillatorperiodic orbit expansion

Mathematics Subject Classification ID

Analytic circuit theory (94C05) Dynamical systems in control (37N35) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Dimension theory of smooth dynamical systems (37C45)

Related Items (5)

Design of time-delayed connection parameters for inducing amplitude death in high-dimensional oscillator networks ⋮ Periodicity, chaos and multiple coexisting attractors in a generalized Moore-Spiegel system ⋮ Universalities in the chaotic generalized Moore \& Spiegel equations ⋮ No-chaos criteria for certain jerky dynamics ⋮ What is the simplest dissipative chaotic jerk equation which is parity invariant?

Cites Work

• Dynamical averaging in terms of periodic orbits
• Recycling of strange sets: I. Cycle expansions
• Ordinary Differential Equations with Strange Attractors
• Symmetry decomposition of chaotic dynamics
• Master-slave synchronization from the point of view of global dynamics
• Synchronization of chaotic systems: Transverse stability of trajectories in invariant manifolds
• APERIODIC BEHAVIOUR OF A NON-LINEAR OSCILLATOR

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