Zelik, Sergey, 1972-
Multi-pulse evolution and space-time chaos in dissipative systems / [electronic resource] Sergey Zelik, Alexander Mielke. - Providence, R.I. : American Mathematical Society, 2009. - 1 online resource (vi, 97 p.) - Memoirs of the American Mathematical Society, v. 925 0065-9266 (print); 1947-6221 (online); .
"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
Mode of access : World Wide Web
9781470405311 (online)
Attractors (Mathematics)
Lyapunov exponents.
Stokes equations.
QA614.813 / .Z45 2009
515/.39
Multi-pulse evolution and space-time chaos in dissipative systems / [electronic resource] Sergey Zelik, Alexander Mielke. - Providence, R.I. : American Mathematical Society, 2009. - 1 online resource (vi, 97 p.) - Memoirs of the American Mathematical Society, v. 925 0065-9266 (print); 1947-6221 (online); .
"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
Mode of access : World Wide Web
9781470405311 (online)
Attractors (Mathematics)
Lyapunov exponents.
Stokes equations.
QA614.813 / .Z45 2009
515/.39