Analytical solutions to one-dimensional dissipative and discrete chaotic dynamics

Details Analytical solutions to one-dimensional dissipative and discrete chaotic dynamics Analytical solutions to one-dimensional dissipative and discrete chaotic dynamics

1997-12-12

arxiv.org/abs/chao-dyn/9712012v1

Nonlinear Sciences

Chaotic Dynamics

7 pages and 5 figures, submitted to Phys.Rev.E

Scientific paper

10.1103/PhysRevE.58.369

Analytical solutions to the chaotic and ergodic motion of a certain class of one-dimensional dissipative and discrete dynamical systems are derived. This allows us to obtain exact expressions for physical properties like the time correlation function. We illustrate our solutions by means of a few examples for which conventional numerical trajectory calculations fail to predict the correct behaviour.

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