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Article

Monte Carlo Simulation of Moment Lyapunov Exponents

[+] Author and Article Information
Wei-Chau Xie

Solid Mechanics Division, Faculty of Engineering, University of Waterloo, Waterloo, ON

J. Appl. Mech 72(2), 269-275 (Mar 15, 2005) (7 pages) doi:10.1115/1.1839592 History: Received January 03, 2004; Revised September 17, 2004; Online March 15, 2005
Copyright © 2005 by ASME
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References

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Xie,  W.-C., and So,  R. M. C., 2003, “Numerical Determination of Moment Lyapunov Exponents of Two-Dimensional Systems,” ASME J. Appl. Mech., accepted for publication.
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Figures

Grahic Jump Location
Moment Lyapunov exponent Λq(τ)(p) under real-noise excitation, α0=2.0
Grahic Jump Location
Moment Lyapunov exponent Λq(τ)(p) under real-noise excitation, α0=2.0
Grahic Jump Location
Moment Lyapunov exponent Λq(τ)(p) under real-noise excitation, α0=1.0
Grahic Jump Location
Moment Lyapunov exponent Λq(τ)(p) under real-noise excitation, α0=1.0
Grahic Jump Location
Moment Lyapunov exponent Λq(τ)(p) under real-noise excitation, α0=0.5
Grahic Jump Location
Moment Lyapunov exponent Λq(τ)(p) under bounded-noise excitation, ν0=0.5
Grahic Jump Location
Moment Lyapunov exponent Λq(τ)(p) under bounded-noise excitation, ν0=1.0
Grahic Jump Location
Moment Lyapunov exponent Λq(τ)(p) under bounded-noise excitation, ν0=2.0

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