منابع مشابه
Parametric Excitation and Evolutionary Dynamics
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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The phenomenon of parametric resonance is explained and investigated both analytically and with the help of a computer simulation. Parametric excitation is studied for the example of the rotary oscillations of a simple linear system— mechanical torsion spring pendulum excited by periodic variations of its moment of inertia. Conditions and characteristics of parametric resonance and regeneration...
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This paper is devoted to the problem of synchronization of symmetrically coupled self-oscillators exhibiting chaos by means of chaos control technique. We use a nonfeedback method of control, in particular, high frequency periodic modulation of the coefficient of coupling. The model of Chua’s circuits coupled via capacity is considered in this work. We study the possibility of synchronization i...
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We have performed new simulations of two different scenarios for the excitation and depletion of the primordial asteroid belt, assuming Jupiter and Saturn on initially circular orbits as predicted by the Nice Model of the evolution of the outer Solar System [Gomes, R., Levison, H.F., Tsiganis, K., Morbidelli, A., 2005. Nature 435, 466–469; Tsiganis, K., Gomes, R., Morbidelli, A., Levison, H.F.,...
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ژورنال
عنوان ژورنال: JOURNAL OF THE MARINE ENGINEERING SOCIETY IN JAPAN
سال: 1993
ISSN: 0388-3051,1884-4758
DOI: 10.5988/jime1966.28.320