A Statistical Approach for Computing Reachability of Non-linear and Stochastic Dynamical Systems

Quantitative Evaluation of Systems - Lecture Notes in Computer Science ◽

10.1007/978-3-319-10696-0_5 ◽

2014 ◽

pp. 41-56 ◽

Cited By ~ 2

Author(s):

Luca Bortolussi ◽

Guido Sanguinetti

Keyword(s):

Dynamical Systems ◽

Statistical Approach ◽

Stochastic Dynamical Systems ◽

Non Linear

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On the effects of non-linear elements in the reliability-based optimal design of stochastic dynamical systems

International Journal of Non-Linear Mechanics ◽

10.1016/j.ijnonlinmec.2007.03.003 ◽

2007 ◽

Vol 42 (5) ◽

pp. 802-816 ◽

Cited By ~ 33

Author(s):

Hector A. Jensen ◽

Michel A. Catalan

Keyword(s):

Dynamical Systems ◽

Optimal Design ◽

Stochastic Dynamical Systems ◽

Non Linear ◽

Linear Elements

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Diagnosis of unknown parametric faults in non-linear stochastic dynamical systems

International Journal of Control ◽

10.1080/00207170802054199 ◽

2009 ◽

Vol 82 (4) ◽

pp. 603-619 ◽

Cited By ~ 13

Author(s):

Ulrich Münz ◽

Pedro J. Zufiria

Keyword(s):

Dynamical Systems ◽

Stochastic Dynamical Systems ◽

Parametric Faults ◽

Non Linear

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Reliability-based synthesis of non-linear stochastic dynamical systems: a global approximation approach

International Journal of Reliability and Safety ◽

10.1504/ijrs.2010.032443 ◽

2010 ◽

Vol 4 (2/3) ◽

pp. 139 ◽

Cited By ~ 2

Author(s):

Hector A. Jensen ◽

Macarena S. Ferre ◽

Danilo S. Kusanovic

Keyword(s):

Dynamical Systems ◽

Global Approximation ◽

Stochastic Dynamical Systems ◽

Approximation Approach ◽

Non Linear

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Flow-driven spectral chaos (FSC) method for simulating long-time dynamics of arbitrary-order non-linear stochastic dynamical systems

Journal of Computational Physics ◽

10.1016/j.jcp.2020.110044 ◽

2020 ◽

pp. 110044

Author(s):

Hugo Esquivel ◽

Arun Prakash ◽

Guang Lin

Keyword(s):

Dynamical Systems ◽

Arbitrary Order ◽

Stochastic Dynamical Systems ◽

Time Dynamics ◽

Non Linear ◽

Long Time ◽

Long Time Dynamics

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Optimal Performance-Based Design of Non-Linear Stochastic Dynamical Systems

Vulnerability, Uncertainty, and Risk ◽

10.1061/9780784413609.010 ◽

2014 ◽

Author(s):

André T. Beck ◽

Ioannis A. Kougioumtzoglou ◽

Ketson R. M. dos Santos

Keyword(s):

Dynamical Systems ◽

Optimal Performance ◽

Performance Based Design ◽

Stochastic Dynamical Systems ◽

Non Linear

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Coherent phenomena in stochastic dynamical systems

Uspekhi Fizicheskih Nauk ◽

10.3367/ufnr.0169.199902c.0171 ◽

1999 ◽

Vol 169 (2) ◽

pp. 171 ◽

Cited By ~ 27

Author(s):

Valerii I. Klyatskin ◽

D. Gurarie

Keyword(s):

Dynamical Systems ◽

Stochastic Dynamical Systems

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SURROGATE MODELING FOR STOCHASTIC DYNAMICAL SYSTEMS BY COMBINING NONLINEAR AUTOREGRESSIVE WITH EXOGENOUS INPUT MODELS AND POLYNOMIAL CHAOS EXPANSIONS

International Journal for Uncertainty Quantification ◽

10.1615/int.j.uncertaintyquantification.2016016603 ◽

2016 ◽

Vol 6 (4) ◽

pp. 313-339 ◽

Cited By ~ 20

Author(s):

Chu V. Mai ◽

Minas D. Spiridonakos ◽

Eleni N. Chatzi ◽

Bruno Sudret

Keyword(s):

Dynamical Systems ◽

Polynomial Chaos ◽

Surrogate Modeling ◽

Stochastic Dynamical Systems ◽

Polynomial Chaos Expansions ◽

Nonlinear Autoregressive

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Simulation versus experiment in non-linear dynamical systems

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2021.110656 ◽

2021 ◽

Vol 144 ◽

pp. 110656

Author(s):

Ludovico Minati

Keyword(s):

Dynamical Systems ◽

Linear Dynamical Systems ◽

Non Linear

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A remark on symmetry of stochastic dynamical systems and their conserved quantities

Journal of Physics A General Physics ◽

10.1088/0305-4470/28/22/012 ◽

1995 ◽

Vol 28 (22) ◽

pp. 6363-6371 ◽

Cited By ~ 26

Author(s):

S Albeverio ◽

Shao-Ming Fei

Keyword(s):

Dynamical Systems ◽

Conserved Quantities ◽

Stochastic Dynamical Systems

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Global identification of stochastic dynamical systems under different pseudo-static operating conditions: The functionally pooled ARMAX case

Mechanical Systems and Signal Processing ◽

10.1016/j.ymssp.2016.05.002 ◽

2017 ◽

Vol 82 ◽

pp. 32-55 ◽

Cited By ~ 6

Author(s):

J.S. Sakellariou ◽

S.D. Fassois

Keyword(s):

Dynamical Systems ◽

Operating Conditions ◽

Stochastic Dynamical Systems ◽

Global Identification

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