Results 251 to 260 of about 81,786 (299)

Dressed return maps distinguish chaotic mechanisms

Physical Review E, 2013
Chaotic data generated by a three-dimensional dynamical system can be embedded into R(3) in a number of inequivalent ways. However, when lifted into R(5) they all become equivalent, indicating that they all belong to a single universality class sharing a common chaos-generating mechanism.
Daniel J, Cross, R, Gilmore
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First return map and invariant measures

Israel Journal of Mathematics, 1980
We give sufficient conditions for the existence of absolutely continuous invariant measures, finite or σ-finite, for maps on the interval. We givea priori bound for the number of different ergodic measures. The results are obtained via the first return map.
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Return mapping for nonsmooth and multiscale elastoplasticity

Computer Methods in Applied Mechanics and Engineering, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tu, Xuxin, Andrade, José E., Chen, Qiushi   +2 more
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Cryptanalyzing chaotic secure communications using return maps

Physics Letters A, 1998
Abstract In chaotic secure communications, message signals are scrambled by chaotic dynamical systems. The interaction between the message signals and the chaotic systems results in changes of different kinds of return maps. In this paper, we use return map based methods to unmask some chaotic secure communication systems; namely, chaotic shift ...
Tao Yang, Lin-Bao Yang, Chun-Mei Yang
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First return map of the periodic Lorentz gas

Physical Review E, 1995
We obtain the first return map of the periodic Lorentz gas treated as a Sinai's billiard. By using this map we compute numerically the largest Lyapunov exponent and the velocity autocorrelation function for the triangular Lorentz gas in the high density regime.
, Hakmi, , Bosco, , Antoniou
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Return maps in cyclotomic piecewise similarities

Dynamical Systems, 2005
Let p > 2 be prime or twice an odd prime. We prove that the first return cyclotomic-integer piecewise similarity or order p is also an integer piecewise similarity. Moreover, we show that all cells of an integer piecewise similarity are spanned by integers in .
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Approximate return maps for quadrupedal running

Proceedings of International Conference on Robotics and Automation, 2002
This paper describes approximate return maps for the bound and pronk gaits in a simple quadruped model. Although expressions for the exact maps cannot be obtained, perturbation theory allows derivation of explicit expressions for approximate maps if particular parameters are assumed small.
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Return map analysis of chaotic phase synchronization

Physica D: Nonlinear Phenomena, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tsukamoto, Naofumi, Fujisaka, Hirokazu
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Poincare Return Maps

2017
The Poincare return map is a model for measuring changes in trajectories and for evaluating the effects of forces that facilitate or present barriers to the pathways. It is important to measure the stability of a trajectory or its deviation. With either situation, one seeks to understand the variables that maintain stability or that generate the ...
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Two-Dimensional Symplectic Return Maps and Applications

2015
The goal of this extended abstract is to show how return maps, even in simple cases, can provide accurate information in some dynamical aspects.
Regina Martínez, Carles Simó
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