Nonlinear parametric excitation of an evolutionary dynamical system
نویسندگان
چکیده
منابع مشابه
Nonlinear Parametric Excitation of an Evolutionary Dynamical System
Nonlinear parametric excitation refers to the nonlinear analysis of a system of ordinary differential equations with periodic coefficients. In contrast to linear parametric excitation, which offers determinations of the stability of equilibria, nonlinear parametric excitation has as its goal the structure of the phase space, as given by a portrait of the Poincare map. In this article, perturbat...
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A study has been made on the parametric excitation of a nonlinear system with hardening springs. I n the parametric excitation of linear systems, the only subharmonic predicted i s a subharmonic of order 1/2. However, i n the parametric excitation of nonlinear systems, i t i s shown th I ? higher order subharmonics can exist, depending both on the amplitude and frequency of the parametric excit...
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Parametric excitation refers to dynamics problems in which the forcing function enters into the governing differential equation as a variable coefficient. Evolutionary dynamics refers to a mathematical model of natural selection (the “replicator” equation) which involves a combination of game theory and differential equations. In this paper we apply perturbation theory to investigate parametric...
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Consider a one-mass system with two degrees of freedom, nonlin-early coupled, with parametric excitation in one direction. Assuming the internal resonance 1:2 and parametric resonance 1:2 we derive conditions for stability of the trivial solution by using both the harmonic balance method and the normal form method of averaging. If the trivial solution becomes unstable a stable periodic solution...
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ژورنال
عنوان ژورنال: Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science
سال: 2011
ISSN: 0954-4062,2041-2983
DOI: 10.1177/0954406211432066