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A chaos detectable and time step-size adaptive numerical scheme for nonlinear dynamical systems

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Publication:2899313
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DOI10.1016/J.JSV.2006.08.028zbMath1243.65082OpenAlexW1994342253MaRDI QIDQ2899313

Yung-Wei Chen, Chein-Shan Liu, Jiang-Ren Chang

Publication date: 28 July 2012

Published in: Journal of Sound and Vibration (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsv.2006.08.028



Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Approximation methods and numerical treatment of dynamical systems (37M99)


Related Items (3)

A simple spatial integration scheme for solving Cauchy problems of non-linear evolution equations ⋮ A novel Lie-group theory and complexity of nonlinear dynamical systems ⋮ An implicit Lie-group iterative scheme for solving the nonlinear Klein-Gordon and sine-Gordon equations







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