Transversal Homoclinic Orbits in an Integrable System
Copyright policy )Transversal Homoclinic Orbits in an Integrable System
We construct a Hamiltonian system on TP' which admits a hyperbolic equilibrium point together with 2n transversal homoclinic orbits. However, the system is completely integrable, and hence X possesses no invariant subsystems topologically conjugate to the suspension of a Bernoulli shift.
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, Homoclinic Orbit, Periodic Orbits, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), Smale-Birkhoff Theorems, Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems, \(n\)-body problems, Dynamics of a system of particles, including celestial mechanics, Oscillatory Orbits, Hamiltonian System, Stable and Unstable Manifolds, N-Body Problem
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, Homoclinic Orbit, Periodic Orbits, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), Smale-Birkhoff Theorems, Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems, \(n\)-body problems, Dynamics of a system of particles, including celestial mechanics, Oscillatory Orbits, Hamiltonian System, Stable and Unstable Manifolds, N-Body Problem
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