Chaos in simple maps

There are several reasons to investigate nonlinear maps

Dynamical Chaos

Of cause nonlinear system dynamics is deterministic and is determined completely by initial conditions. But usually initial coordinates are known only approximately. Therefore due to exponential divergence of orbits after some iterations close orbits are dispersed and mixed in the phase space and it is impossible to predict position of the system. This phenomenon is called dynamical chaos. It is supposed that chaotic systems have All these phenomena can be observed in nonlinear maps (and PC display :)

Types of nonlinear maps

We consider
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updated 14 June 2005