Fractal structure and Gaussian distribution in chaotic Brownian motion

DOI10.1016/0378-4371(93)90081-EzbMath0799.60078OpenAlexW2076190878MaRDI QIDQ1330368

Toshihiro Shimizu

Publication date: 17 November 1994

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

Full work available at URL: https://doi.org/10.1016/0378-4371(93)90081-e

zbMATH Keywords

Langevin equationrecurrence relationchaotic sequence of iterates

Mathematics Subject Classification ID

Other physical applications of random processes (60K40) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (3)

Stochastic differential equations driven by deterministic chaotic maps: analytic solutions of the Perron–Frobenius equation ⋮ Strange attractors in a chaotic coin flip simulation ⋮ Interacting Brownian Particles as a Model of Neural Network

Cites Work

• Unnamed Item
• Relaxation and bifurcation in Brownian motion driven by a chaotic force
• Ergodic properties of a kicked damped particle
• A two-dimensional mapping with a strange attractor
• Transport, Collective Motion, and Brownian Motion

This page was built for publication: Fractal structure and Gaussian distribution in chaotic Brownian motion