On growth rates of subadditive functions for semiflows

Journal of Differential Equations

Volumn 148, Issue 2, 1998, Pages 334-350

  Schreiber, Sebastian J ^a  

^a WESTERN WASHINGTON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002610570     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.1998.3471     Document Type: Article

References (17)

1. R. Bowen, "Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms," Lecture Notes in Mathematics, Vol. 470, Springer-Verlag, Berlin, 1975.
2. V. Hutson, A theorem on average Liapunov functions, Monatsh. Math. 98 (1984), 267-275.
3. V. Hutson, The stability under perturbations of repulsive sets, J. Differential Equations 76 (1988), 77-90.
4. V. Hutson and K. Schmitt, Permanence and the dynamics of biological systems, Math. Biosci. 111 (1992), 1-71.
5. R. A. Johnson, K. J. Palmer, and G. R. Sell, Ergodic properties of linear dynamical systems, SIAM J. Math. Anal. 18 (1987), 1-33.
6. Y. Katznelson and B. Weiss, A simple proof of some ergodic theorems, Israel J. Math. 42 (1982), 291-296.
7. Y. Kifer, Characteristic exponents of dynamical systems in metric spaces, Ergodic Theory Dynamical Systems 3 (1983), 119-127.
8. J. F. C. Kingman, Subadditive ergodic theory, Ann. Probab. 1 (1973), 883-909.
9. L. T. Magalhães, Persistence and smoothness of hyperbolic invariant manifolds for functional differential equations, SIAM J. Math. Anal. 18 (1987), 670-693.
10. R. Mañé, "Ergodic Theory and Differentiable Dynamics," Springer-Verlag, New York, 1983.
11. R. Mañé, Lyapunov exponents and stable manifolds for compact transformations, in "Geometric Dynamics" (J. Palis, Ed.), Lecture Notes in Mathematics, Vol. 1007, pp. 522-577, Springer-Verlag, Berlin, 1983.
12. V. V. Nemytskii and V. V. Stepanov, "Qualitative Theory of Differential Equations," Princeton Univ. Press, Princeton, 1960.
13. V. I. Oseledec, A multiplicative ergodic theorem, Trans. Moscow Math. Soc. 19 (1968), 197-231.
14. D. Ruelle, Ergodic theory of differentiable dynamical systems, Inst. Hautes Études Sci. Publ. Math. 50 (1979), 27-58.
15. D. Ruelle, Characteristic exponenets and invariant manifolds in Hilbert space, Ann. Math. 115 (1982), 243-290.
16. R. J. Sacker and G. R. Sell, A spectral theory for linear differential systems, J. Differential Equations 27 (1978), 320-358.
17. S. J. Schreiber, Expansion rates and Lyapunov exponents, Discrete Conts. Dynam. Sys. 3 (1997), 433-438.