Optimal orbits of hyperbolic systems

Nonlinearity

Volumn 12, Issue 4, 1999, Pages 1207-1224

  Yuan, Guocheng ^a   Hunt, Brian R ^a  

^a University of Maryland   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033163967     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/12/4/325     Document Type: Article

References (15)

1. Hunt B R and Ott E 1996 Optimal periodic orbits of chaotic systems Phys. Rev. Lett. 76 2254
2. Hunt B R and Ott E 1996 Optimal periodic orbits of chaotic systems occur at low period Phys. Rev. E 54 328
3. Ott E, Grebogi C and Yorke J A 1990 Controlling chaos Phys. Rev. Lett. 64 1196
4. Shinbrot T, Grebogi C, Ott E and Yorke J A 1993 Using small perturbations to control chaos Nature 363 411-7
5. Mañé R 1996 Generic properties and problems of minimizing measures of Lagrangian systems Nonlinearity 9 273
6. Mañé R Lagrangian flows: the dynamics of globally minimizing orbits Preprint
7. Contreras G, Delgado J and Iturriaga R Lagrangian flows: the dynamics of globally minimizing orbits II Peprint
8. Bousch T Le poisson n'a pas d'arêtes Preprint
9. Bullett S and Sentenac P 1994 Ordered orbits of the shift, square roots, and the devil's staircase Math. Proc. Camb. Phil. Soc. 115 451-81
10. Jenkinson O M Frequency-locking on the boundary of the barycentre set Preprint
11. Jenkinson O M Geometric barycentres of invariant measures for circle maps Preprint
12. Contreras G, Lopes A and Thieullen P Maximizing measures for expanding transformations Preprint
13. Katok A and Hasselblatt B 1995 Introduction to the Modern Theory of Dynamical Systems (Cambridge)
14. Hunt B R and Yorke J A 1991 Smooth dynamics on Weierstrass nowhere differentiable curves Trans. AMS 325 141
15. Cvitanovi'c P 1991 Periodic orbits as the skeleton of classical and quantum chaos Physica D 51 138