Polynomial Shift States of a Chaotic Map-Reference-Cited by-同舟云学术

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Polynomial Shift States of a Chaotic Map

Published:1997-12 Issue:5-6 Volume:89 Page:1087-1096
ISSN:0022-4715
Container-title:Journal of Statistical Physics
language:en
Short-container-title:J Stat Phys

Author:

Driebe Dean J.,Ordóñez Gonzalo E.

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

http://link.springer.com/content/pdf/10.1007/BF02764224.pdf

Reference9 articles.

1. A. Lasota and M. Mackey,Chaos, Fractals and Noise, (Springer-Verlag, New York, 1994).

2. H. H. Hasegawa and W. C. Saphir, Unitarity and irreversibility in chaotic systems,Phys. Rev. A 46:7401 (1992); P. Gaspard, r-Adic one-dimensional maps and the Euler summation formula,J. Phys. A 25:L483 (1992); I. Antoniou and S. Tasaki, Generalized spectral decomposition of the Β-adic baker’s transformation and intrinsic irreversibility,Physica A 190:303 (1992); I. Antoniou and S. Tasaki, Spectral decomposition of the Renyi map,J. Phys. A 26:73 (1993).

3. H. H. Hasegawa and D. J. Driebe, Intrinsic irreversibility and the validity of the kinetic description of chaotic systems,Phys. Rev. E 50:1781 (1994); P. Gaspard, What is the role of chaotic scattering in irreversible processes?,Chaos 3:427 (1993); S. Tasaki, I. Anoniou, and Z. Suchanecki, Spectral decomposition and fractal eigenvectors for a class of piecewise linear maps,Chaos, Solitons and Fractals 4:227 (1993).

4. D. J. Driebe and G. E. Ordóñez, Using symmetries of the Frobenius-Perron operator to determine spectral decompositions,Phys. Lett. A 211:204 (1996); G. E. Ordóñez and D. J. Driebe, Spectral decomposition of tent maps using symmetry considerations,J. Stat. Phys. 84:269(1996).

5. D. J. Driebe, Jordan blocks in a one-dimensional Markov map,Comp. and Math. with Appl. in press.

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Other One-Dimensional Maps;Nonlinear Phenomena and Complex Systems;1999

2. Symbolic Computations;The Mathematica GuideBook for Symbolics

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