Breaking and disappearance of tori

DOI10.1007/BF01224828zbMath0568.76056MaRDI QIDQ1060635

Claudio Tebaldi, Valter Franceschini

Publication date: 1984

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

chaotic attractorPoincaré mapunstable periodic orbitdissipative differential equations12-mode truncationbifurcation cascadebreaking of tori

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Turbulence (76Fxx) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Stability theory for smooth dynamical systems (37C75) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items

Dynamics retrospective: Great problems, attempts that failed, Wrinkled tori and bursts due to resonant temporal forcing, Period doubling bifurcations and universality in conservative systems, Behavior of a three-torus in truncated Navier-Stokes equations, Truncations to 12, 14 and 18 modes of the Navier-Stokes equations on a two-dimensional torus, Synchronized family dynamics in globally coupled maps

Cites Work

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• Transition to Turbulence in the Rayleigh-Benard Convection
• Two models of truncated Navier–Stokes equations on a two-dimensional torus
• Crises, sudden changes in chaotic attractors, and transient chaos
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