Bifurcation scenarios of the noisy duffing-van der pol oscillator-Reference-Cited by-同舟云学术

Bifurcation scenarios of the noisy duffing-van der pol oscillator

Published:1996-11 Issue:3 Volume:11 Page:255-274
ISSN:0924-090X
Container-title:Nonlinear Dynamics
language:en
Short-container-title:Nonlinear Dyn

Author:

Schenk-Hopp� K. R.

Publisher

Springer Science and Business Media LLC

Subject

Electrical and Electronic Engineering,Applied Mathematics,Mechanical Engineering,Ocean Engineering,Aerospace Engineering,Control and Systems Engineering

Link

http://link.springer.com/content/pdf/10.1007/BF00120720.pdf

Reference31 articles.

1. Arnold, L., Random Dynamical Systems, Preliminary version 2, November 1994.

2. Arnold, L., ?Six lectures on random dynamical systems (CIME Summer School)?, in Lecture Notes in Mathematics, Vol. 1609, Springer-Verlag, Berlin, 1995, pp. 1?43.

3. Arnold, L. and Boxler, P., ?Stochastic bifurcation: Instructive examples in dimension one?, in Progress in Probability, Vol. 27, M., Pinsky and V., Wihstutz (eds.), Birkhäuser, Boston, 1992, pp. 241?256.

4. Arnold, L. and Crauel, H., ?Random dynamical systems?, in Lecture Notes in Mathematics, Vol. 1486, Springer-Verlag, Berlin, 1991, pp. 1?22.

5. Arnold, L. and Scheutzow, M., ?Perfect cocycles through stochastic differential equations?, Probability Theory and Related Fields 101, 1995, 65?88.

Cited by 107 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Local Lipschitz Continuity in the Initial Value and Strong Completeness for Nonlinear Stochastic Differential Equations;Memoirs of the American Mathematical Society;2024-04

2. Topological detection of phenomenological bifurcations with unreliable kernel density estimates;Probabilistic Engineering Mechanics;2024-04

3. Influence of uncertainties and noise on basins/attractors topology and integrity of Duffing oscillator;International Journal of Non-Linear Mechanics;2024-03

4. A topological framework for identifying phenomenological bifurcations in stochastic dynamical systems;Nonlinear Dynamics;2024-02-02

5. Stochastic models of ventilation driven by opposing wind and buoyancy;Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences;2023-08