Isochronous systems, the arrow of time, and the definition of deterministic chaos

DOI10.1007/s11005-010-0428-yzbMath1230.37072OpenAlexW2040828841MaRDI QIDQ539054

Francesco Calogero, F. Leyvraz

Publication date: 27 May 2011

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

Full work available at URL: https://doi.org/10.1007/s11005-010-0428-y

zbMATH Keywords

chaotic dynamical systemsisochronous dynamical systemsintegrable and superintegrable dynamical systemsRössler chaotic system

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamics induced by flows and semiflows (37C10) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Dynamical aspects of statistical mechanics (37A60)

Related Items (2)

Isochronous cosmological solutions of the Friedmann–Robertson–Walker model ⋮ Isochronous spacetimes

Cites Work

• Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
• An equation for continuous chaos
• A new class of isochronous dynamical systems
• Multiscale Expansion and Integrability of Dispersive Wave Equations
• How to Extend any Dynamical System so That it Becomes Isochronous, Asymptotically Isochronous or Multi-Periodic
• Isochronous Systems

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