Random Wandering around Homoclinic-Like Manifolds in a Symplectic Map Chain.
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We present a method to construct a symplecticity preserving renormalization group map of a chain of weakly nonlinear symplectic maps and obtain a general reduced symplectic map describing its long-time behavior. It is found that the modulational instability in the reduced map triggers random wandering of orbits around some homoclinic-like manifolds. This behavior is understood as Bernoulli shifts.
- Progress of Theoretical Physics
Progress of Theoretical Physics 107(4), 637-654, 2002
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