Maps for analysis of nonlinear dynamics

Details Maps for analysis of nonlinear dynamics Maps for analysis of nonlinear dynamics

1998-09-23

arxiv.org/abs/chao-dyn/9809016v1

Nonlinear Analysis: Modelling and Control, Vilnius, IMI, No 2, p. 43-58 (1998)

Nonlinear Sciences

Chaotic Dynamics

Scientific paper

Area preserving maps provide the simplest and most accurate means to visualize and quantify the behavior of nonlinear systems. Convenience of the mapping equations of motion for investigation of transition to chaotic behavior in dynamics of classical atom in microwave field, transition to nonchaotic behavior in randomly driven systems and induced quantum dynamics of simple and multilevel systems is demonstrated.

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