Symbolic Dynamics Approach to the Two-Dimensional Chaos in Area-Preserving Maps: A Fractal Geometrical Model
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چکیده
منابع مشابه
a synchronic and diachronic approach to the change route of address terms in the two recent centuries of persian language
terms of address as an important linguistics items provide valuable information about the interlocutors, their relationship and their circumstances. this study was done to investigate the change route of persian address terms in the two recent centuries including three historical periods of qajar, pahlavi and after the islamic revolution. data were extracted from a corpus consisting 24 novels w...
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We describe a method of control of chaos that occurs in area-preserving maps. This method is based on small modifications of the original map by addition of a small control term. We apply this control technique to the standard map and to the tokamap.
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The problem of transition to chaos, i.e. the destruction of invariant circles or KAM (Kolmogorov-Arnold-Moser) curves, in area preserving nontwist maps is studied within the renormalization group framework. Nontwist maps are maps for which the twist condition is violated along a curve known as the shearless curve. In renormalization language this problem is that of nding and studying the xed po...
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متن کاملArea preserving nontwist maps: periodic orbits and transition to chaos
Area preserving nontwist maps, i.e. maps that violate the twist condition, are considered. A representative example, the standard nontwist map that violates the twist condition along a curve called the shearless curve, is studied in detail. Using symmetry lines and involutions, periodic orbits are computed and two bifurcations analyzed: periodic orbit collisions and separatrix reconnection. The...
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ژورنال
عنوان ژورنال: Progress of Theoretical Physics
سال: 1984
ISSN: 0033-068X,1347-4081
DOI: 10.1143/ptp.71.1419