Abstract
A new intuitive approach to hamiltonian chaotic seas is proposed, which is complementary to the usual one interpreting them in terms of destroyed invariant tori. Here they are described by means of their underlying homoclinic trellises which take on a simple structure in the limit of infinite resonance overlap, a quasi-adiabatic limit. Numerical calculations exhibit this universal structure described in a recent theorem establishing that a slowly pulsating separatrix sweeps a “homogeneous” chaotic sea. The geometrical ingredients of the theory are explained. A new criterion for non-integrability is suggested.
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