### 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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Witold Szczechla (1989)

Fundamenta Mathematicae

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Jan Aarts, Robbert Fokkink (1991)

Fundamenta Mathematicae

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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...

D. Bourgin (1968)

Studia Mathematica

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Judy Kennedy (2008)

RACSAM

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We survey recent papers on the problem of backward dynamics in economics, providing along the way a glimpse at the economics perspective, a discussion of the economic models and mathematical tools involved, and a list of applicable literature in both mathematics and economics.

Robert F. Williams (1979)

Publications Mathématiques de l'IHÉS

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A. M. Blokh, M. Yu. Lyubich (1991)

Annales scientifiques de l'École Normale Supérieure

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