NUMERICAL OBSERVATIONS ON SEPARATRIX CROSSINGS

DOI10.1142/S0218127403006704zbMath1056.37076OpenAlexW1970927974MaRDI QIDQ4653784

Russell Francis, Todd R. Young

Publication date: 8 March 2005

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127403006704

zbMATH Keywords

adiabatic invariantHamiltonian systemaction-angle variables

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Complex behavior and chaotic systems of ordinary differential equations (34C28) Adiabatic invariants for problems in Hamiltonian and Lagrangian mechanics (70H11) Approximation methods and numerical treatment of dynamical systems (37M99)

Cites Work

• Slow passage through a saddle-center bifurcation
• Accuracy loss of action invariance in adiabatic change of a one-freedom Hamiltonian
• On stochastic behavior of perturbed Hamiltonian systems

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