Multi-Pulse Evolution and Space-Time Chaos in Dissipative Systems.
Zelik, Sergey.
Multi-Pulse Evolution and Space-Time Chaos in Dissipative Systems. - 1st ed. - 1 online resource (112 pages) - Memoirs of the American Mathematical Society ; v.198 . - Memoirs of the American Mathematical Society .
Intro -- Contents -- 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 -- Bibliography -- Nomenclature.
9781470405311
Attractors (Mathematics).
Lyapunov exponents.
Stokes equations.
Electronic books.
QA614.813 -- .Z45 2009eb
515.39
Multi-Pulse Evolution and Space-Time Chaos in Dissipative Systems. - 1st ed. - 1 online resource (112 pages) - Memoirs of the American Mathematical Society ; v.198 . - Memoirs of the American Mathematical Society .
Intro -- Contents -- 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 -- Bibliography -- Nomenclature.
9781470405311
Attractors (Mathematics).
Lyapunov exponents.
Stokes equations.
Electronic books.
QA614.813 -- .Z45 2009eb
515.39