Structural stability of Lorenz attractors
John Guckenheimer, Robert F. Williams (1979)
Publications Mathématiques de l'IHÉS
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John Guckenheimer, Robert F. Williams (1979)
Publications Mathématiques de l'IHÉS
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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...
Karen Brucks, R. Galeeva, P. Mumbrú, D. Rockmore, Charles Tresser (1997)
Fundamenta Mathematicae
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We discuss a generalization of the *-product in kneading theory to maps with an arbitrary finite number of turning points. This is based on an investigation of the factorization of permutations into products of permutations with some special properties relevant for dynamics on the unit interval.
C. Tresser (1984)
Annales de l'I.H.P. Physique théorique
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Brunovský, Pavol
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Eduardo Colli (1998)
Annales de l'I.H.P. Analyse non linéaire
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