A perturbative change of the nature of invariant varities of periodic points

来源 :International Conference Nonlinear Waves-Theory and Applicat | 被引量 : 0次 | 上传用户:wulb
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  We have shown in our recent papers [1] that periodic points of some higher dimensional integrable maps form a variety specific for each period if the maps have sufficient number of invariants.An invariant variety of periodic points (IVPP) is a discrete map analogue of an invariant torus in the continuous time Hamilton systems.In this contribution we study effects of a small perturbation on the varieties and show explicitly how the transition to nonintegrable regime takes place on the varieties.
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