Rotation sets and phase-locking in an electronic three oscillator system

DOI10.1016/0167-2789(93)90075-CzbMath0784.34027OpenAlexW2086383234WikidataQ57927249 ScholiaQ57927249MaRDI QIDQ1313346

John Guaschi, J. M. Phelps, Peter Ashwin

Publication date: 19 January 1994

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(93)90075-c

zbMATH Keywords

rotation setinvariant toruscodimension one and two bifurcationselectronic three oscillator systemtoroidal and annular chaos

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

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Mode-locking and rotational chaos in networks of oscillators: A mathematical framework ⋮ Regional Structure of Two- and Three-Frequency Regimes in a Model of Four Phase Oscillators ⋮ Synchronization and multi-frequency oscillations in the low-dimensional chain of the self-oscillators ⋮ Radial and circular synchronization clusters in extended starlike network of van der Pol oscillators ⋮ Oscillations and Synchronization in a System of Three Reactively Coupled Oscillators ⋮ A structure of the oscillation frequencies parameter space for the system of dissipatively coupled oscillators ⋮ Boundary of two frequency behaviour in a system of three weakly coupled electronic oscillators

Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Unfolding the torus: Oscillator geometry from time delays
• Three-frequency quasiperiodicity, phase locking, and the onset of chaos
• On the nature of turbulence
• Rotation Sets for Maps of Tori
• Realizing Rotation Vectors for Torus Homeomorphisms
• Resonance regions for families of torus maps

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