Bifurcations in non-autonomous scalar equations

Journal of Differential Equations

Volumn 221, Issue 1, 2006, Pages 1-35

  Langa, J A ^a   Robinson, J C ^b   Suarez A ^a  

^a UNIVERSITY OF SEVILLE   (Spain)

^b UNIVERSITY OF WARWICK   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 30344440739     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jde.2005.06.023     Document Type: Article

References (19)

1. H. Bohr Almost Periodic Functions 1947 Chelsea New York
2. D.N. Cheban P.E. Kloeden B. Schmalfuß The relationship between pullback, forwards and global attractors of nonautonomous dynamical systems Nonlinear Dynamics Systems Theory 2 2002 9-28
3. V.V. Chepyzhov M.I. Vishik Attractors of non-autonomous dynamical systems and their dimension J. Math. Pures Appl. 73 1994 279-333
4. H. Crauel Random point attractors versus random set attractors J. London Math. Soc. 63 2001 413-427
5. H. Crauel A. Debussche F. Flandoli Random attractors J. Dynamics Differential Equations 9 1997 341-397
6. C.M. Dafermos An invariance principle for compact processes J. Differential Equations 9 1971 239-252
7. P.A. Glendinning Stability, Instability and Chaos: An Introduction to the Theory of Nonlinear Differential Equations 1994 Cambridge Texts in Applied Mathematics, Cambridge University Press Cambridge
8. R.A. Johnson Hopf bifurcation from nonperiodic solutions of differential equations. I. Linear theory J. Dynamics Differential Equations 1 1989 179-198
9. R.A. Johnson P.E. Kloeden R. Pavani Two-step transition in nonautonomous bifurcations: An explanation Stochastics Dynamics 2 2002 67-92
10. R.A. Johnson Y. Yi Hopf bifurcation from nonperiodic solutions of differential equations, II J. Dynamics Differential Equations 107 1994 310-340
11. P.E. Kloeden A Lyapunov function for pullback attractors of nonautonomous differential equations Electron. J. Differential Equations Conf. 5 2000 91-102
12. P.E. Kloeden Pitchfork and transcritical bifurcations in systems with homogeneous nonlinearities and an almost periodic time coefficient Comm. Pure Appl. Anal. 3 2004 161-173
13. P.E. Kloeden B. Schmalfuß Cocyle attractors of variable time step discretizations of Lorenzian systems J. Differential Equations Appl. 3 1997 125-145
14. P.E. Kloeden S. Siegmund Bifurcations and continuous transitions of attractors in autonomous and nonautonomous systems Internat. J. Bifurcations Chaos 15 2005 743-762
15. J.A. Langa J.C. Robinson A. Suárez Stability, instability, and bifurcation phenomena in non-autonomous differential equations Nonlinearity 15 2002 887-903
16. J.A. Langa A. Suárez Pullback permanence for non-autonomous partial differential equations Electron. J. Differential Equations 72 2002 1-20
17. B. Schmalfuß Attractors for the nonautonomous dynamical systems in: B. Fiedler K. Gröger J. Sprekels (Eds.) Proceedings of Equadiff 99 Berlin 2000 World Scientific Singapore 684-689
18. G.R. Sell Non-autonomous differential equations and topological dynamics Trans. Amer. Math. Soc. 127 1967 241-283
19. W. Shen Y. Yi Almost automorphic and almost periodic dynamics in skew-product semiflows Mem. Amer. Math. Soc. 647 1998