On the structure of the space of continuous maps with zero topological entropy
Roman Hric (1995)
Mathematica Slovaca
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Roman Hric (1995)
Mathematica Slovaca
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Fedorenko, V.V., Smítal, J. (1991)
Acta Mathematica Universitatis Comenianae. New Series
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Ľubomír Snoha (1990)
Commentationes Mathematicae Universitatis Carolinae
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Lluis Alsedà, Antonio Falcó (1994)
Annales de l'institut Fourier
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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...