Periodic orbit dividing surfaces in a quartic Hamiltonian system with three degrees of freedom. I

DOI10.1142/s0218127424300118zbMath1546.37106MaRDI QIDQ6538952

Stephen Wiggins, Matthaios Katsanikas, Francisco Gonzalez Montoya

Publication date: 14 May 2024

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

zbMATH Keywords

phase spaceperiodic orbitHamiltonian systemdynamical astronomynormally hyperbolic invariant manifoldchemical reaction dynamicsdividing surface

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Invariant manifold theory for dynamical systems (37D10) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46)

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