Isochronous dynamical systems

DOI10.1098/rsta.2010.0250zbMath1219.37001OpenAlexW1983638405WikidataQ37841961 ScholiaQ37841961MaRDI QIDQ3090274

Francesco Calogero

Publication date: 28 August 2011

Published in: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rsta.2010.0250

zbMATH Keywords

chaotic behaviourdeterministic chaosnonlinear dynamical systemsintegrable dynamical systemperiodic dynamical systemisochronous dynamical system

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Dynamics induced by flows and semiflows (37C10) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Complex behavior and chaotic systems of ordinary differential equations (34C28) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02)

Related Items (5)

Isochronous cosmological solutions of the Friedmann–Robertson–Walker model ⋮ Isochronous dynamics in pulse coupled oscillator networks with delay ⋮ Regular and singular pulse and front solutions and possible isochronous behavior in the short-pulse equation: phase-plane, multi-infinite series and variational approaches ⋮ THE JACOBI LAST MULTIPLIER AND ISOCHRONICITY OF LIÉNARD TYPE SYSTEMS ⋮ Isochronous spacetimes

Cites Work

• Recursive Generation of Isochronous Hamiltonian Systems
• Integrability, analyticity, isochrony, equilibria, small oscillations, and Diophantine relations: results from the stationary Burgers hierarchy
• On isochronous cases of the Cherkas system and Jacobi's last multiplier
• Integrability, analyticity, isochrony, equilibria, small oscillations, and Diophantine relations: Results from the stationary Korteweg-de Vries hierarchy
• Asymptotically isochronous systems
• Symplectic rectification and isochronous Hamiltonian systems
• Isochronous Dynamical System and Diophantine Relations I
• An isochronous variant of the Ruijsenaars–Toda model: equilibrium configurations, behavior in their neighborhood, Diophantine relations
• How to Extend any Dynamical System so That it Becomes Isochronous, Asymptotically Isochronous or Multi-Periodic
• Deterministic Nonperiodic Flow
• General technique to produce isochronous Hamiltonians
• A nonlocal connection between certain linear and nonlinear ordinary differential equations/oscillators

This page was built for publication: Isochronous dynamical systems