Chaotic dynamics in bistable systems
Institut für Theoretische Physik D, RWTH Aachen - D-52056 Aachen, Germany
Accepted: 2 March 1999
We investigate chaotic maps as generators of noise in bistable systems. The chaotic force generates complicated non-Gaussian behaviour, reflected in asymmetric stationary probability densities and escape times. We study how this non-Gaussian behaviour depends on the deterministic map we use to generate the chaotic force. For all such maps we find Langevin-like behaviour in the limit of vanishing time scale parameter.
PACS: 05.45.-a – Nonlinear dynamics and nonlinear dynamical systems / 02.50.-r – Probability theory, stochastic processes and statistics / 02.60.Cb – Numerical simulation; solution of equations
© EDP Sciences, 1999