Decomposition solution for Duffing and Van der Pol oscillators.
Determination of coupled sway, roll, and yaw motions of a floating body in regular waves.
Devil's staircase route to chaos in a forced relaxation oscillator
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.
Dynamics of a system of nonlinear differential equations.