NUMERICAL SOLUTION OF NONLINEAR EQUATION TO COMBINED DETERMINISTIC AND NARROW-BAND RANDOM EXCITATION

DOI10.1142/S0217979208048528zbMath1149.70328MaRDI QIDQ3544945

Settapat Chinviriyasit, Wirawan Chinviriyasit

Publication date: 8 December 2008

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

zbMATH Keywords

finite difference methodDuffing oscillatorimplicit methodsecond-order methodnarrow-band random

Mathematics Subject Classification ID

Finite difference and finite volume methods for ordinary differential equations (65L12) Nonlinear resonances for nonlinear problems in mechanics (70K30) Nonlinear modes (70K75)

Cites Work

• Multiple time scaling of the response of a Duffing oscillator to narrow-band random excitation
• Chaos-free numerical solutions of reaction-diffusion equations
• Chaos and the dynamics of biological populations
• Stable Periodic Bifurcations of an Explicit Discretization of a Nonlinear Partial Differential Equation in Reaction Diffusion

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