Stable and non-stable non-chaotic maps of the interval
Tomáš Gedeon (1991)
Mathematica Slovaca
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Tomáš Gedeon (1991)
Mathematica Slovaca
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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...
Ľubomír Snoha (1990)
Commentationes Mathematicae Universitatis Carolinae
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Valaristos, Antonios (1998)
International Journal of Mathematics and Mathematical Sciences
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Sivak, A.G. (1994)
Acta Mathematica Universitatis Comenianae. New Series
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Roman Hric (1995)
Mathematica Slovaca
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Krämer, Walter (2007)
Serdica Journal of Computing
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The paper has been presented at the 12th International Conference on Applications of Computer Algebra, Varna, Bulgaria, June, 2006 The Maple Power Tool intpakX [24] de nes Maple types for real intervals and complex disc intervals. On the level of basic operations, intpakX includes the four basic arithmetic operators, including extended interval division as an extra function. Furthermore, there are power, square, square root, logarithm and exponential functions, a set of standard...