Symbolic encoding in symplectic maps

Nonlinearity

Volumn 9, Issue 6, 1996, Pages 1623-1640

  Christiansen, Freddy ^a   Politi, Antonio ^a,b  

^a ISTITUTO NAZIONALE DI OTTICA   (Italy)

^b INFN SEZIONE DI FIRENZE   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0343040265     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/9/6/014     Document Type: Article

References (20)

1. Sinai Ya G 1972 Russ. Math. Surv. 27 21
2. Ruelle D 1978 Thermodynamic Formalism (Reading, MA : Addison-Wesley)
3. Politi A 1994 From Statistical Physics to Statistical Inference and Back ed J-P Nadal and P Grassberger (Dordrecht: Kluwer) p 293
4. Grassberger P and Kantz H 1985 Phys. Lett. 113A 235
5. Cvitanovič P, Gunaratne G H and Procaccia I 1988 Phys. Rev. A 38 1503
6. Hopcroft H E and Ullman J D 1979 Introduction to Automata Theory, Languages and Computation (Reading, MA: Addison-Wesley)
7. D'Alessandro G, Grassberger P, Isola S and Politi A 1990 J. Phys. A: Math. Gen. 23 5285
8. Giovannini F and Politi A 1991 J. Phys. A: Math. Gen. 24 1837
9. Christiansen F and Politi A 1995 Phys. Rev. E 51 R3811
10. Within a stability window, the partition turns out to be generating only for the set of all unstable periodic orbits, i.e. for the dynamics on the strange repeller; see also Collet P and Eckmann J-P 1980 Iterated Maps on the Interval as Dynamical Systems (Boston: Birkhäuser)
11. Grassberger P, Kantz H and Moenig U 1989 J. Phys. A: Math. Gen. 43 5217
12. By fibre, here and in the following we mean a small piece of manifold.
13. For a detailed description of the procedure to determine the coefficients, see [7].
14. Giovannini F and Politi A 1992 Phys. Lett. A 161 332
15. Hansen K 1992 Phys. Lett. A 165 100
16. Richter P H, Scholz H-J and Wittek A 1990 Nonlinearity 3 45
17. D'Alessandro G, Isola S and Politi A 1991 Prog. Theor. Phys. 86 1149
18. Ruelle D and Eckmann J-P 1985 Rev. Mod. Phys. 57 617
19. Cvetkovic D, Doob M and Sachs H 1980 Spectra of Graphs (New York: Academic)
20. Apart from its symmetry properties of which only the time reversal symmetry is of fundamental importance. In fact, any spatial symmetry merely adds on more features to the symmetry line treatment.