Towards a quasi-periodic mean field theory for globally coupled oscillators

DOI10.1016/S0375-9601(98)00869-XzbMath0985.37102MaRDI QIDQ1967079

Paul Glendinning, Murad Banaji

Publication date: 8 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

zbMATH Keywords

chaotic dynamicsPoincaré mapcomplex Ginzburg-Landau equations

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) NLS equations (nonlinear Schrödinger equations) (35Q55) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (2)

Clustering in globally coupled oscillators ⋮ The stability boundary of synchronized states in globally coupled dynamical systems

Cites Work

• Collective chaos and noise in the globally coupled complex Ginzburg-Landau equation
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Bifurcations and stability of families of diffeomorphisms
• From collective oscillations to collective chaos in a globally coupled oscillator system
• Quasi-periodic motions in families of dynamical systems. Order amidst chaos
• Towards global models near homoclinic tangencies of dissipative diffeomorphisms
• THE HAUSDORFF DIMENSION OF ATTRACTORS APPEARING BY SADDLE-NODE BIFURCATIONS
• TRAVELLING WAVES WITH SPATIALLY RESONANT FORCING: BIFURCATIONS OF A MODIFIED LANDAU EQUATION
• Elements of applied bifurcation theory

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