Relaxation and bifurcation in Brownian motion driven by a chaotic force

DOI10.1016/0378-4371(91)90106-MzbMath0713.58023OpenAlexW1995004179MaRDI QIDQ749950

Toshihiro Shimizu

Publication date: 1990

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4371(91)90106-m

zbMATH Keywords

Brownian motionbifurcationsequence of iterates

Mathematics Subject Classification ID

Topological dynamics (37B99) Brownian motion (60J65) Ergodic theory (37A99)

Related Items (6)

Chaotic force in Brownian motion ⋮ Fractal structure and Gaussian distribution in chaotic Brownian motion ⋮ Driven chaotic motion in single- and double-well potentials ⋮ Stochastic differential equations driven by deterministic chaotic maps: analytic solutions of the Perron–Frobenius equation ⋮ Interacting Brownian Particles as a Model of Neural Network ⋮ Microscopic chaos and Gaussian diffusion processes

Cites Work

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• Perturbation theory analysis of chaos. II: Chaos in a time-dependent Hamiltonian system
• On the abundance of aperiodic behaviour for maps on the interval
• Chaos and Diffusion in a Sinusoidal Potential with a Periodic External Field
• Transport, Collective Motion, and Brownian Motion

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