Anosov parameter values for the triple linkage and a physical system with a uniformly chaotic attractor

Nonlinearity

Volumn 16, Issue 4, 2003, Pages 1499-1510

  Hunt, T J ^a   MacKay, R S ^b  

^a OPEN UNIVERSITY   (United Kingdom)

^b UNIVERSITY OF WARWICK   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0242277087     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/16/4/318     Document Type: Article

References (20)

1. [AM] Ashcroft N W and Mermin N D 1976 Solid State Physics (Philadelphia, PA: Saunders)
2. [Au] Aubin T 1998 Some Nonlinear Problems in Riemannian Geometry (Berlin: Springer)
3. [BS] Bunimovich L A and Sinai Ya G 1981 Statistical properties of Lorentz gas with periodic configuration of scatterers Commun. Math. Phys. 78 479-97
4. [BD] Burns K and Donnay V J 1997 Embedded surfaces with ergodic geodesic flows Int. J. Bif. Chaos 7 1509-27
5. [Ch] Chernov N I 1998 Markov approximations and decay of correlations for Anosov flows Ann. Math. 147 269-324
6. [DP] Denker M and Phillips W 1984 Approximation by Brownian motion for Gibbs measures and flows under a function Ergod. Theor. Dyn. Syst. 4 541-52
7. [DM] Denvir J and MacKay R S 1998 Consequences of contractible geodesics on surfaces Trans. Am. Math. Soc. 350 4553-68
8. [DC] Do Carmo M P 1976 Differential Geometry of Curves and Surfaces (Englewood Cliffs, NJ: Prentice-Hall)
9. [Do] Dolgopyat D 1998 On decay of correlations in Anosov flows Ann. Math. 147 357-90
10. [F] Fenichel N 1971 Persistence and smoothness of invariant manifolds for flows Indiana U. Math. J. 211 193-226
11. [G] Gray A 1993 Modern Differential Geometry of Curves and Surfaces (Boca Raton, FL: CRC)
12. [H] Hunt T J 2000 Low dimensional dynamics: bifurcations of cantori and realisations of uniform hyperbolicity PhD Thesis, Cambridge University
13. [KH] Katok A and Hasselblatt B 1995 Introduction to the Modern Theory of Dynamical Systems (Cambridge: Cambridge University Press)
14. [Kl] Klingenberg W 1974 Riemannian manifolds with geodesic flow of Anosov type Am. Math. 99 1-13
15. [Kn] Knauf A 1987 Ergodic and topological properties of Coulombic periodic potentials Commun. Math. Phys. 110 89-112
16. m, m ≥ 3 Commun. Math. Phys. 64 35-40
17. [Ni] Niemann S H 1977 Geometry and mechanics PhD Thesis (Mathematics) Oxford
18. [P] Plykin R V 1974 Sources and sinks of A-diffeomorphisms of surfaces Mat. USSR Sbornik 23 233-53
19. [R] Ruelle D 1997 Differentiation of SRB states Commun. Math. Phys. 187 227-41
20. [TW] Thurston W P and Weeks J R 1984 The mathematics of three-dimensional manifolds Sci. Am. 251 94-106