Unstable Periodic Orbits Accumulating to the Boundary between Torus and Chaos in Sharply Divided Phase Space

AIP Conference Proceedings

Volumn 1076, Issue , 2008, Pages 1-4

  Akaishi, Akira ^a   Shudo, Akira ^a  

^a TOKYO METROPOLITAN UNIVERSITY   (Japan)

Author keywords

Piecewise linear map; Sharply divided phase space; Unstable periodic orbits

Indexed keywords

EID: 85006189360     PISSN: 0094243X     EISSN: 15517616     Source Type: Conference Proceeding    
DOI: 10.1063/1.3046256     Document Type: Conference Paper

References (8)

1. A. L. Lichtenberg, and M. A. Lieberman, Regular, and chaotic motion, Springer-Verlag, New York, 1983
2. B, V, Chirikov, and D, L, Shepelyansky, Phys. Rev. Lett. 82, 528 (1999).
3. M, Weiss, L, Hufnagel, and R, Ketzmerick, Phys. Rev. Lett 89, 239401 (2002).
4. E, G, Altmann, A, E, Motter, and H, Kantz, Phys. Rev E 73, 026207 (2006).
5. T, Miyaguchi, Phys. Rev E 75, 066215 (2007).
6. A, Akaishi, and A, Shudo, To be submitted (2008).
7. R, Artuso, P, Cvitanovic, and G, Tanner, Prog. Theor Phys. Suppl. 150, 1-21 (2003).
8. M, Wojtkowski, Comm. Math. Phys. 80, 453 (1981)