A global condition for quasi-random behavior in a class of conservative systems. (English) Zbl 0860.58027

In this paper two ODE systems of dimension 4 are considered both having a saddle-focus with a homoclinic connection. Conditions are given under which these Hamiltonian systems have an infinite number of “multibump” homoclinic solutions and their dynamic is chaotic.


37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
34C37 Homoclinic and heteroclinic solutions to ordinary differential equations
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