Decomposition solution for Duffing and Van der Pol oscillators.
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Determination of coupled sway, roll, and yaw motions of a floating body in regular waves.
Das, S.N., Das, S.K. (2004)
International Journal of Mathematics and Mathematical Sciences
Devil's staircase route to chaos in a forced relaxation oscillator
Lluis Alsedà, Antonio Falcó (1994)
Annales de l'institut Fourier
We use one-dimensional techniques to characterize the Devil’s staircase route to chaos in a relaxation oscillator of the van der Pol type with periodic forcing term. In particular, by using symbolic dynamics, we give the behaviour for certain range of parameter values of a Cantor set of solutions having a certain rotation set associated to a rational number. Finally, we explain the phenomena observed experimentally in the system by Kennedy, Krieg and Chua (in [10]) related with the appearance of...
Disconjugate operators and related differential equations.
Cecchi, Mariella, Došlá, Zuzana, Marini, Mauro (2000)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Dynamics of a system of nonlinear differential equations.
Chumakov, G.A. (2007)
Sibirskij Matematicheskij Zhurnal
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