Lorenz Bifurcation: Instabilities in Quasireversible Systems

DOI10.1103/PhysRevLett.83.3820zbMath0946.37028MaRDI QIDQ4492625

Enrique Tirapegui, Marcel G. Clerc, Pierre H. Coullet

Publication date: 16 July 2000

Published in: Physical Review Letters (Search for Journal in Brave)

zbMATH Keywords

normal formsinstabilitiesLorenz chaos

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28) Dynamical aspects of attractors and their bifurcations (37G35)

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Cites Work

• Perturbed homoclinic solutions in reversible 1:1 resonance vector fields
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Amplitude equations at the critical points of unstable dispersive physical systems
• Deterministic Nonperiodic Flow
• Pattern formation outside of equilibrium