NUMERICAL COMPUTATION OF HOMOCLINIC ORBITS FOR FLOWS

DOI10.1142/S0218127400001882zbMath0973.65121OpenAlexW2015923726MaRDI QIDQ2710013

Whei-Ching C. Chan, Dah-Zen Wang

Publication date: 13 July 2001

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

Full work available at URL: https://doi.org/10.1142/s0218127400001882

zbMATH Keywords

flowsHamiltonian systemhomoclinic orbitshyperbolic equilibrium pointstable and unstable manifoldhyperbolic fixed point

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Homoclinic and heteroclinic orbits for dynamical systems (37C29)

Related Items

A note on diffeomorphism and periodic differential equations, Optimal numerical control of single-well to cross-well chaos transition in mechanical systems., Detecting stable-unstable nonlinear invariant manifold and homoclinic orbits in mechanical systems

Cites Work

• An asymptotic expression for the splitting of separatrices of the rapidly forced pendulum
• Exponential dichotomies and transversal homoclinic points
• Exponentially small splitting of separatrices for difference equations with small step size
• CALCULATING STABLE AND UNSTABLE MANIFOLDS
• Exponentially small upper bounds for the splitting of separatrices for high frequency periodic perturbations