Invariant patterns in a non-invertible chaotic map by the directional coloring

Author:

Ueta Tetsushi1

Affiliation:

1. Center for Administration of Information Technology, The University of Tokushima

Publisher

Institute of Electronics, Information and Communications Engineers (IEICE)

Subject

Rehabilitation,Physical Therapy, Sports Therapy and Rehabilitation,General Medicine

Reference16 articles.

1. [1] D. Hinrichsen and A.J. Pritchard, Mathematical Systems Theory I — Modeling, State Space Analysis, Stability and Robustness Springer Verlag, 2005.

2. [2] J. Guckenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields, Springer Verlag, 1983.

3. [3] F. Moon, Chaotic and Fractal Dynamics, Springer Verlag, 1990.

4. [4] S.H. Strogatz, Nonlinear Dynamics and Chaos, Perseus Books, 1994.

5. [5] M. Benedicks and L. Carleson, “The dynamics of the Hénon map,” Annals of Mathematics, vol. 133, no. 1, pp. 73-169, 1991.

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