TY  - BOOK
AU  - Zelik,Sergey
AU  - Mielke,Alexander
TI  - Multi-pulse evolution and space-time chaos in dissipative systems
T2  - Memoirs of the American Mathematical Society, 
SN  - 9781470405311 (online)
AV  - QA614.813 .Z45 2009
U1  - 515/.39 22
PY  - 2009///
CY  - Providence, R.I.
PB  - American Mathematical Society
KW  - Attractors (Mathematics)
KW  - Lyapunov exponents
KW  - Stokes equations
N1  - "Volume 198, number 925 (second of 6 numbers )."; Includes bibliographical references (p. 93-95); 1. Introduction; 2. Assumptions and preliminaries; 3. Weighted Sobolev spaces and regularity of solutions; 4. The multi-pulse manifold: General structure; 5. The multi-pulse manifold: Projectors and tangent spaces; 6. The multi-pulse manifold: Differential equations and the cut off procedure; 7. Slow evolution of multi-pulse profiles: Linear case; 8. Slow evolution of multi-pulse structures: Center manifold reduction; 9. Hyperbolicity and stability; 10. Multi-pulse evolution equations: Asymptotic expansions; 11. An application: Spatio-temporal chaos in periodically perturbed Swift-Hohenberg equation; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012
UR  - http://www.ams.org/memo/0925
UR  - http://dx.doi.org/10.1090/memo/0925
ER  -