1 Introduction and Examples -- 2 Transport in Two-Dimensional Maps: General Principles and Results -- 3 Convective Mixing and Transport Problems in Fluid Mechanics -- 4 Transport in Quasiperiodically Forced Systems: Dynamics Generated by Sequences of Maps -- 5 Markov Models -- 6 Transport in k-Degree-of-Freedom Hamiltonian Systems, 3 ? k < ?: The Generalization of Separatrices to Higher Dimensions and Their Geometrical Structure -- Appendix 1 Proofs of Theorems 2.6 and 2.12 -- Appendix 2 Derivation of the Quasiperiodic Melnikov Functions from Chapter 4 -- References.
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یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
Provides a new and more realistic framework for describing the dynamics of non-linear systems. A number of issues arising in applied dynamical systems from the viewpoint of problems of phase space transport are raised in this monograph. Illustrating phase space transport problems arising in a variety of applications that can be modeled as time-periodic perturbations of planar Hamiltonian systems, the book begins with the study of transport in the associated two-dimensional Poincaré Map. This serves as a starting point for the further motivation of the transport issues through the development of ideas in a non-perturbative framework with generalizations to higher dimensions as well as more general time dependence. A timely and important contribution to those concerned with the applications of mathematics.
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شماره استاندارد بين المللي کتاب و موسيقي
9781441930965
قطعه
عنوان
Springer eBooks
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Global analysis (Mathematics).
موضوع مستند نشده
Mathematics.
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )