Unimodal generalized pseudo-Anosov maps.

de Carvalho, André; Hall, Toby

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Periodic points of Hamiltonian surface diffeomorphisms.

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The forcing relation for horseshoe braid types.

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The structure of pseudo-holomorphic subvarieties for a degenerate almost complex structure and symplectic form on $S^{1} \times B^{3}$ .

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Devil's staircase route to chaos in a forced relaxation oscillator

Lluis Alsedà, Antonio Falcó (1994)

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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...