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Journal Articles

Stationary Response Probability Distribution of SDOF Nonlinear Stochastic Systems

Lincong Chen, Jun Liu, Jian-Qiao Sun

Publisher: ASME

J. Appl. Mech. May 2017, 84(5): 051006.

Paper No: JAM-16-1577

https://doi.org/10.1115/1.4036307

Published Online: April 5, 2017

View Article titled, Stationary Response Probability Distribution of SDOF Nonlinear Stochastic Systems

Topics: Excitation, Iterative methods, Nonlinear systems, Polynomials, Probability, Statistical distributions, Stochastic systems, White noise, Simulation, Errors

Journal Articles

Stationary Response of a Class of Nonlinear Stochastic Systems Undergoing Markovian Jumps

Rong-Hua Huan, Wei-qiu Zhu, Fai Ma, Zu-guang Ying

Publisher: ASME

J. Appl. Mech. May 2015, 82(5): 051008.

Paper No: JAM-15-1055

https://doi.org/10.1115/1.4029954

Published Online: May 1, 2015

View Article titled, Stationary Response of a Class of Nonlinear Stochastic Systems Undergoing Markovian Jumps

Topics: Probability, Stochastic systems, Excitation, Simulation

Journal Articles

Marginal Instability and Intermittency in Stochastic Systems—Part II: Systems With Rapid Random Variations in Parameters

M. F. Dimentberg, A. Hera, A. Naess

Publisher: ASME

J. Appl. Mech. May 2009, 76(3): 031002.

https://doi.org/10.1115/1.3086593

Published Online: March 5, 2009

View Article titled, Marginal Instability and Intermittency in Stochastic Systems—Part II: Systems With Rapid Random Variations in Parameters

Topics: Approximation, Computer simulation, Damping, Dynamic systems, Markov processes, Partial differential equations, Probability, Stability, Stochastic systems, Transients (Dynamics)

Journal Articles

Simulation of Moment Lyapunov Exponents for Linear Homogeneous Stochastic Systems

Wei-Chau Xie, Qinghua Huang

Publisher: ASME

J. Appl. Mech. May 2009, 76(3): 031001.

https://doi.org/10.1115/1.3063629

Published Online: March 3, 2009

View Article titled, Simulation of Moment Lyapunov Exponents for Linear Homogeneous Stochastic Systems

Topics: Algorithms, Excitation, Noise (Sound), Simulation, Stochastic systems, Differential equations, Dynamic systems

Journal Articles

Marginal Instability and Intermittency in Stochastic Systems—Part I: Systems With Slow Random Variations of Parameters

M. F. Dimentberg, A. Hera, A. Naess

Publisher: ASME

J. Appl. Mech. July 2008, 75(4): 041002.

https://doi.org/10.1115/1.2910900

Published Online: May 9, 2008

View Article titled, Marginal Instability and Intermittency in Stochastic Systems—Part I: Systems With Slow Random Variations of Parameters

Topics: Approximation, Damping, Stability, Transients (Dynamics), Stochastic systems, Fluids, Cross-flow, Fluid dynamics, Reliability

Journal Articles

Monte Carlo Simulation of Moment Lyapunov Exponents

Wei-Chau Xie, Professor,

Publisher: ASME

J. Appl. Mech. March 2005, 72(2): 269–275.

https://doi.org/10.1115/1.1839592

Published Online: March 15, 2005

View Article titled, Monte Carlo Simulation of Moment Lyapunov Exponents

Topics: Excitation, Noise (Sound), Simulation, Stochastic systems, Stability

Journal Articles

The Maximal Lyapunov Exponent for a Three-Dimensional Stochastic System

K. M. Liew, Fellow ASME, Professor, X. B. Liu

Publisher: ASME

J. Appl. Mech. September 2004, 71(5): 677–690.

https://doi.org/10.1115/1.1782648

Published Online: November 9, 2004

View Article titled, The Maximal Lyapunov Exponent for a Three-Dimensional Stochastic System

Topics: Bifurcation, Density, Diffusion (Physics), Diffusion processes, Eigenvalues, Emission spectroscopy, Filters, Noise (Sound), Probability, Spectroscopy

Journal Articles

Lyapunov Exponents and Stochastic Stability of Quasi-Integrable-Hamiltonian Systems

W. Q. Zhu, Z. L. Huang

Publisher: ASME

J. Appl. Mech. March 1999, 66(1): 211–217.

https://doi.org/10.1115/1.2789148

Published Online: March 1, 1999

View Article titled, Lyapunov Exponents and Stochastic Stability of Quasi-Integrable-Hamiltonian Systems

Topics: Stability, Bifurcation, Damping, Degrees of freedom, Excitation, Noise (Sound), Stochastic systems

Journal Articles

A Nonuniform Cell Partition for the Analysis of Nonlinear Stochastic Systems

J. Q. Sun

Publisher: ASME

J. Appl. Mech. December 1998, 65(4): 867–869.

https://doi.org/10.1115/1.2791924

Published Online: December 1, 1998

View Article titled, A Nonuniform Cell Partition for the Analysis of Nonlinear Stochastic Systems

Topics: Stochastic systems, Density, Nonlinear systems, Probability, Statistical analysis, Steady state

Journal Articles

Exact Stationary Solutions of Stochastically Excited and Dissipated Integrable Hamiltonian Systems

W. Q. Zhu, Y. Q. Yang

Publisher: ASME

J. Appl. Mech. June 1996, 63(2): 493–500.

https://doi.org/10.1115/1.2788895

Published Online: June 1, 1996

View Article titled, Exact Stationary Solutions of Stochastically Excited and Dissipated Integrable Hamiltonian Systems

Topics: Degrees of freedom, Excitation, Resonance, Stochastic systems

Journal Articles

Maximal Lyapunov Exponent and Almost-Sure Stability for Coupled Two-Degree-of-Freedom Stochastic Systems

N. Sri Namachchivaya, H. J. Van Roessel, S. Talwar

Publisher: ASME

J. Appl. Mech. June 1994, 61(2): 446–452.

https://doi.org/10.1115/1.2901465

Published Online: June 1, 1994

View Article titled, Maximal Lyapunov Exponent and Almost-Sure Stability for Coupled Two-Degree-of-Freedom Stochastic Systems

Topics: Stability, Stochastic systems, Degrees of freedom, Noise (Sound), Rotation

Journal Articles

Lyapunov Exponents and Stochastic Stability of Two-Dimensional Parametrically Excited Random Systems

S. T. Ariaratnam, Wei-Chau Xie

Publisher: ASME

J. Appl. Mech. September 1993, 60(3): 677–682.

https://doi.org/10.1115/1.2900857

Published Online: September 1, 1993

View Article titled, Lyapunov Exponents and Stochastic Stability of Two-Dimensional Parametrically Excited Random Systems

Topics: Stability, Bifurcation, Computer simulation, Damping, Stiffness, Stochastic systems, Structural dynamics

Journal Articles

Maximum Entropy Approach for Stationary Response of Nonlinear Stochastic Oscillators

R. J. Chang

Publisher: ASME

J. Appl. Mech. March 1991, 58(1): 266–271.

https://doi.org/10.1115/1.2897162

Published Online: March 1, 1991

View Article titled, Maximum Entropy Approach for Stationary Response of Nonlinear Stochastic Oscillators

Topics: Entropy, Density, Stochastic systems, Algebra, Engineering simulation, Noise (Sound), Probability, Simulation

Journal Articles

The Generalized Cell Mapping Method in Nonlinear Random Vibration Based Upon Short-Time Gaussian Approximation

J. Q. Sun, C. S. Hsu

Publisher: ASME

J. Appl. Mech. December 1990, 57(4): 1018–1025.

https://doi.org/10.1115/1.2897620

Published Online: December 1, 1990

View Article titled, The Generalized Cell Mapping Method in Nonlinear Random Vibration Based Upon Short-Time Gaussian Approximation

Topics: Approximation, Random vibration, Steady state, Probability, Transients (Dynamics), Computer software, Density, Errors, Excitation, Nonlinear systems

Journal Articles

Cumulant Neglect Closure of Nonstationary Solutions of Stochastic System

Marian Pawleta, Leslaw Socha

Publisher: ASME

J. Appl. Mech. September 1990, 57(3): 776–779.

https://doi.org/10.1115/1.2897091

Published Online: September 1, 1990

View Article titled, Cumulant Neglect Closure of Nonstationary Solutions of Stochastic System

Topics: Dynamic systems, Linear systems, Noise (Sound), Stochastic systems

Journal Articles

Effect of Correlation on the Almost-Sure Asymptotic Stability of Second-Order Linear Stochastic Systems

S. T. Ariaratnam, Wei Chau Xie

Publisher: ASME

J. Appl. Mech. September 1989, 56(3): 685–690.

https://doi.org/10.1115/1.3176147

Published Online: September 1, 1989

View Article titled, Effect of Correlation on the Almost-Sure Asymptotic Stability of Second-Order Linear Stochastic Systems

Topics: Stability, Stochastic systems, Damping, Stiffness, Linear systems, Noise (Sound)

Journal Articles

Almost-Sure Stability of Some Linear Stochastic Systems

S. T. Ariaratnam, B. L. Ly

Publisher: ASME

J. Appl. Mech. March 1989, 56(1): 175–178.

https://doi.org/10.1115/1.3176041

Published Online: March 1, 1989

View Article titled, Almost-Sure Stability of Some Linear Stochastic Systems

Topics: Stability, Stochastic systems, Stochastic processes, Excitation

Journal Articles

Equivalent Stochastic Systems

Y. K. Lin, G. Q. Cai

Publisher: ASME

J. Appl. Mech. December 1988, 55(4): 918–922.

https://doi.org/10.1115/1.3173742

Published Online: December 1, 1988

View Article titled, Equivalent Stochastic Systems

Topics: Stochastic systems, Statistical distributions, Dynamic systems, Noise (Sound), Probability, Random excitation, Transients (Dynamics)

Journal Articles

A Statistical Study of Generalized Cell Mapping

Jian-Qiao Sun, C. S. Hsu

Publisher: ASME

J. Appl. Mech. September 1988, 55(3): 694–701.

https://doi.org/10.1115/1.3125851

Published Online: September 1, 1988

View Article titled, A Statistical Study of Generalized Cell Mapping

Topics: Density, Design, Dynamic systems, Error analysis, Errors, Probability, Stochastic systems, Tradeoffs

Journal Articles

A Cell Mapping Method for Nonlinear Deterministic and Stochastic Systems—Part I: The Method of Analysis

C. S. Hsu, H. M. Chiu

Publisher: ASME

J. Appl. Mech. September 1986, 53(3): 695–701.

https://doi.org/10.1115/1.3171833

Published Online: September 1, 1986

View Article titled, A Cell Mapping Method for Nonlinear Deterministic and Stochastic Systems—Part I: The Method of Analysis

Topics: Nonlinear systems, Nonlinear vibration, Stochastic systems

Journal citation

NARROW

Stationary Response Probability Distribution of SDOF Nonlinear Stochastic Systems

Stationary Response of a Class of Nonlinear Stochastic Systems Undergoing Markovian Jumps

Marginal Instability and Intermittency in Stochastic Systems—Part II: Systems With Rapid Random Variations in Parameters

Simulation of Moment Lyapunov Exponents for Linear Homogeneous Stochastic Systems

Marginal Instability and Intermittency in Stochastic Systems—Part I: Systems With Slow Random Variations of Parameters

Monte Carlo Simulation of Moment Lyapunov Exponents

The Maximal Lyapunov Exponent for a Three-Dimensional Stochastic System

Lyapunov Exponents and Stochastic Stability of Quasi-Integrable-Hamiltonian Systems

A Nonuniform Cell Partition for the Analysis of Nonlinear Stochastic Systems

Exact Stationary Solutions of Stochastically Excited and Dissipated Integrable Hamiltonian Systems

Maximal Lyapunov Exponent and Almost-Sure Stability for Coupled Two-Degree-of-Freedom Stochastic Systems

Lyapunov Exponents and Stochastic Stability of Two-Dimensional Parametrically Excited Random Systems

Maximum Entropy Approach for Stationary Response of Nonlinear Stochastic Oscillators

The Generalized Cell Mapping Method in Nonlinear Random Vibration Based Upon Short-Time Gaussian Approximation

Cumulant Neglect Closure of Nonstationary Solutions of Stochastic System

Effect of Correlation on the Almost-Sure Asymptotic Stability of Second-Order Linear Stochastic Systems

Almost-Sure Stability of Some Linear Stochastic Systems

Equivalent Stochastic Systems

A Statistical Study of Generalized Cell Mapping

A Cell Mapping Method for Nonlinear Deterministic and Stochastic Systems—Part I: The Method of Analysis

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