A Kushner approach for small random perturbations of the Duffing-van der Pol system

Shambhu N. Sharma

doi:10.1016/j.automatica.2008.12.010

A Kushner approach for small random perturbations of the Duffing-van der Pol system

Automatica ◽

10.1016/j.automatica.2008.12.010 ◽

2009 ◽

Vol 45 (4) ◽

pp. 1097-1099 ◽

Cited By ~ 9

Author(s):

Shambhu N. Sharma

Keyword(s):

Random Perturbations ◽

Van Der Pol ◽

Small Random Perturbations

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A Problem of Parameter Control Involving Small Random Perturbations

Theory of Probability and Its Applications ◽

10.1137/1109066 ◽

1964 ◽

Vol 9 (3) ◽

pp. 487-488 ◽

Cited By ~ 1

Author(s):

A. P. Cherenkov

Keyword(s):

Parameter Control ◽

Random Perturbations ◽

Small Random Perturbations

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Small Random Perturbations on a Finite Time Interval

Grundlehren der mathematischen Wissenschaften - Random Perturbations of Dynamical Systems ◽

10.1007/978-3-642-25847-3_2 ◽

2012 ◽

pp. 29-53

Author(s):

Mark I. Freidlin ◽

Alexander D. Wentzell

Keyword(s):

Finite Time ◽

Time Interval ◽

Random Perturbations ◽

Finite Time Interval ◽

Small Random Perturbations

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Small random perturbations of peano phenomena

Stochastics ◽

10.1080/17442508208833208 ◽

1982 ◽

Vol 6 (3-4) ◽

pp. 279-292 ◽

Cited By ~ 28

Author(s):

R. Bafico ◽

P. Baldi

Keyword(s):

Random Perturbations ◽

Small Random Perturbations

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Solutions to the Fokker-Planck-Kolmogorov equation for the van der pol system subjected to periodic and random perturbations

Ukrainian Mathematical Journal ◽

10.1007/bf01093583 ◽

1983 ◽

Vol 34 (6) ◽

pp. 635-637

Author(s):

Nguyen Dong Anh ◽

Kieu Th� Dyk

Keyword(s):

Kolmogorov Equation ◽

Random Perturbations ◽

Van Der Pol ◽

Fokker Planck

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Small Random Perturbations for Dynamical Systems with Reflecting Boundary in Besov-Orlicz Space

Journal of Advances in Mathematics and Computer Science ◽

10.9734/jamcs/2017/34443 ◽

2017 ◽

Vol 23 (2) ◽

pp. 1-16

Author(s):

D Rakotonirina ◽

J Andriatahina ◽

T Rabeherimanana

Keyword(s):

Dynamical Systems ◽

Orlicz Space ◽

Random Perturbations ◽

Small Random Perturbations

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A minimum action method for small random perturbations of two-dimensional parallel shear flows

Journal of Computational Physics ◽

10.1016/j.jcp.2012.10.006 ◽

2013 ◽

Vol 235 ◽

pp. 497-514 ◽

Cited By ~ 7

Author(s):

Xiaoliang Wan

Keyword(s):

Shear Flows ◽

Random Perturbations ◽

Two Dimensional ◽

Minimum Action Method ◽

Parallel Shear Flows ◽

Small Random Perturbations

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Stability of the instanton under small random perturbations

Stochastic Processes and their Applications ◽

10.1016/0304-4149(94)00021-2 ◽

1994 ◽

Vol 54 (2) ◽

pp. 309-330 ◽

Cited By ~ 2

Author(s):

Stella Brassesco

Keyword(s):

Random Perturbations ◽

Small Random Perturbations

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On Chaotic Systems with Small Random Perturbations

Transactions of the Society of Instrument and Control Engineers ◽

10.9746/sicetr1965.20.389 ◽

1984 ◽

Vol 20 (5) ◽

pp. 389-395

Author(s):

Yoshifumi SUNAHARA ◽

Yoji MORITA ◽

Toshihiko YASUDA ◽

Mitsuyuki KIMURA

Keyword(s):

Chaotic Systems ◽

Random Perturbations ◽

Small Random Perturbations

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Small random perturbations of dynamical systems with reflecting boundary

Proceedings of Symposia in Pure Mathematics - Probability ◽

10.1090/pspum/031/0440700 ◽

1977 ◽

pp. 1-4

Author(s):

R. F. Anderson ◽

Steven Orey

Keyword(s):

Dynamical Systems ◽

Random Perturbations ◽

Small Random Perturbations

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Asymptotic behaviours of two dimensional autonomous systems with small random perturbations

Journal of Mathematics of Kyoto University ◽

10.1215/kjm/1250522958 ◽

1976 ◽

Vol 16 (1) ◽

pp. 57-69

Author(s):

Kunio Nishioka

Keyword(s):

Autonomous Systems ◽

Random Perturbations ◽

Two Dimensional ◽

Small Random Perturbations ◽

Asymptotic Behaviours

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