Application of homotopy technique with the parameter expansion to strongly nonlinear stochastic dynamic systems

Xu Wei;  Sun Zhong-Kui;  Yang Xiao-Li

doi:10.7498/aps.54.5069

Application of homotopy technique with the parameter expansion to strongly nonlinear stochastic dynamic systems

Acta Physica Sinica ◽

10.7498/aps.54.5069 ◽

2005 ◽

Vol 54 (11) ◽

pp. 5069

Author(s):

Xu Wei ◽

Sun Zhong-Kui ◽

Yang Xiao-Li

Keyword(s):

Dynamic Systems ◽

Stochastic Dynamic ◽

Parameter Expansion ◽

Strongly Nonlinear ◽

Stochastic Dynamic Systems ◽

Nonlinear Stochastic Dynamic Systems

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Radial basis function neural network for approximation and estimation of nonlinear stochastic dynamic systems

IEEE Transactions on Neural Networks ◽

10.1109/72.298229 ◽

1994 ◽

Vol 5 (4) ◽

pp. 594-603 ◽

Cited By ~ 251

Author(s):

S. Elanayar V.T. ◽

Y.C. Shin

Keyword(s):

Neural Network ◽

Radial Basis Function ◽

Dynamic Systems ◽

Basis Function ◽

Stochastic Dynamic ◽

Radial Basis ◽

Stochastic Dynamic Systems ◽

Nonlinear Stochastic Dynamic Systems

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New developments in almost sure sample stability of nonlinear stochastic dynamic systems

10.1109/icsyse.1990.203112 ◽

2002 ◽

Cited By ~ 6

Author(s):

Z.Y. Zhang ◽

F. Kozin

Keyword(s):

Dynamic Systems ◽

Stochastic Dynamic ◽

New Developments ◽

Sample Stability ◽

Stochastic Dynamic Systems ◽

Nonlinear Stochastic Dynamic Systems

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Approximate Method for Estimating Extreme Value Responses of Nonlinear Stochastic Dynamic Systems

Journal of Engineering Mechanics ◽

10.1061/(asce)em.1943-7889.0000901 ◽

2015 ◽

Vol 141 (7) ◽

pp. 04015009 ◽

Cited By ~ 7

Author(s):

Jun He

Keyword(s):

Approximate Method ◽

Dynamic Systems ◽

Extreme Value ◽

Stochastic Dynamic ◽

Stochastic Dynamic Systems ◽

Nonlinear Stochastic Dynamic Systems

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A New Method for the Probabilistic Solutions of Large-Scale Nonlinear Stochastic Dynamic Systems

IUTAM Symposium on Nonlinear Stochastic Dynamics and Control - IUTAM Bookseries ◽

10.1007/978-94-007-0732-0_3 ◽

2011 ◽

pp. 25-34 ◽

Cited By ~ 11

Author(s):

G. K. Er ◽

V. P. Iu

Keyword(s):

Dynamic Systems ◽

Large Scale ◽

New Method ◽

Stochastic Dynamic ◽

Stochastic Dynamic Systems ◽

Nonlinear Stochastic Dynamic Systems

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On almost sure sample stability of nonlinear stochastic dynamic systems

IEEE Transactions on Automatic Control ◽

10.1109/9.280759 ◽

1994 ◽

Vol 39 (3) ◽

pp. 560-565 ◽

Cited By ~ 5

Author(s):

Zhi Yu Zhang ◽

F. Kozin

Keyword(s):

Dynamic Systems ◽

Stochastic Dynamic ◽

Sample Stability ◽

Stochastic Dynamic Systems ◽

Nonlinear Stochastic Dynamic Systems

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Moment Equations for Nonlinear Stochastic Dynamic Systems (NSDS)

Linearization Methods for Stochastic Dynamic Systems - Lecture Notes in Physics ◽

10.1007/978-3-540-72997-6_4 ◽

2008 ◽

pp. 85-102

Author(s):

Leslaw Socha

Keyword(s):

Dynamic Systems ◽

Stochastic Dynamic ◽

Moment Equations ◽

Stochastic Dynamic Systems ◽

Nonlinear Stochastic Dynamic Systems

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Input Design for Nonlinear Stochastic Dynamic Systems – A Particle Filter Approach

IFAC Proceedings Volumes ◽

10.3182/20110828-6-it-1002.03722 ◽

2011 ◽

Vol 44 (1) ◽

pp. 13191-13196 ◽

Cited By ~ 7

Author(s):

R. Bhushan Gopaluni ◽

Thomas B. Schön ◽

Adrian G. Wills

Keyword(s):

Particle Filter ◽

Dynamic Systems ◽

Stochastic Dynamic ◽

Input Design ◽

Filter Approach ◽

Stochastic Dynamic Systems ◽

Nonlinear Stochastic Dynamic Systems

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Analysis of some large-scale nonlinear stochastic dynamic systems with subspace-EPC method

Science China Physics Mechanics and Astronomy ◽

10.1007/s11433-011-4443-5 ◽

2011 ◽

Vol 54 (9) ◽

pp. 1631-1637 ◽

Cited By ~ 2

Author(s):

GuoKang Er ◽

VaiPan Iu

Keyword(s):

Dynamic Systems ◽

Large Scale ◽

Stochastic Dynamic ◽

Stochastic Dynamic Systems ◽

Nonlinear Stochastic Dynamic Systems

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Nonlinear Stochastic Dynamic Systems

Bayesian Bounds for Parameter Estimation and Nonlinear Filtering/Tracking ◽

10.1109/9780470544198.part6 ◽

2009 ◽

Keyword(s):

Dynamic Systems ◽

Stochastic Dynamic ◽

Stochastic Dynamic Systems ◽

Nonlinear Stochastic Dynamic Systems

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Spatial structures can form in stochastic dynamic systems due to near-zero-probability events (comment on "21st century: what is life from the perspective of physics?" (Usp. Fiz. Nauk 180 337 (2010) [Phys. Usp. 53 327 (2010)]) by G R Ivanitskii)

Uspekhi Fizicheskih Nauk ◽

10.3367/ufnr.0182.201211k.1235 ◽

2012 ◽

Vol 182 (11) ◽

pp. 1235-1237 ◽

Cited By ~ 7

Author(s):

Valerii I. Klyatskin

Keyword(s):

21St Century ◽

Dynamic Systems ◽

Stochastic Dynamic ◽

Spatial Structures ◽

Stochastic Dynamic Systems

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