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

Jul 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998phrve..58..369p&link_type=abstract

Physical Review E (Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics), Volume 58, Issue 1, July 1998, p

Nonlinear Sciences

Chaotic Dynamics

2

Chaotic Dynamics

Scientific paper

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 such as 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 behavior.

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