Author:
Publisher: Amer Mathematical Society
Keywords: memoirs, american, mathematical, society, ergodic, integrable, hamiltonian, dynamical, systems, generic
Published: 1974-12-31
List price: $19.00
ISBN-10: 0821818449
ISBN-13: 9780821818442
Author: Jian-Jun Xu
Publisher: Springer
Keywords: advances, mechanics, mathematics, flow, convective, theory, dendritic, growth, dynamical
Number of Pages: 256
Published: 2004-04-30
List price: $119.00
ISBN-10: 1402079249
ISBN-13: 9781402079245
Convective flow in the liquid phase is always present in a realistic process of freezing and melting and may significantly affect the dynamics and results of the process. The study of the interplay of growth and convection flow during the solidification has been an important subject in the broad fields of materials science, condensed matter physics, fluid physics, micro-gravity science, etc. The present book is concerned with the dynamics of free dendritic growth with convective flow in the melt. It systematically presents the results obtained in terms of a unified asymptotic approach
Author: John M. Franks
Publisher: American Mathematical Society
Keywords: conference, series, mathematics, regional, cbms, dynamical, systems, homology
Number of Pages: 120
Published: 1982-06-30
List price: $26.00
ISBN-10: 0821817000
ISBN-13: 9780821817001
These lectures give a clear and unified exposition of a major area of current research on the connections between dynamics and topology, treating the fundamental problem--what dynamics can occur in a prescribed homological setting--via algebraic chain complexes derived from the unstable manifold decomposition of dynamics.
Authors:Krzysztof Kowalski, Willi-Hans Steeb,
Publisher: World Scientific Pub Co Inc
Keywords: linearization, carleman, systems, dynamical, nonlinear
Number of Pages: 184
Published: 1991-09
List price: $70.00
ISBN-10: 9810205872
ISBN-13: 9789810205874
Author: Martin Rasmussen
Publisher: Springer
Keywords: lecture, notes, mathematics, systems, dynamical, bifurcation, nonautonomous, attractivity
Number of Pages: 216
Published: 2007-08-03
List price: $52.00
ISBN-10: 3540712240
ISBN-13: 9783540712244
Although, bifurcation theory of equations with autonomous and periodic time dependence is a major object of research in the study of dynamical systems since decades, the notion of a nonautonomous bifurcation is not yet established. In this book, two different approaches are developed which are based on special definitions of local attractivity and repulsivity. It is shown that these notions lead to nonautonomous Morse decompositions, which are useful to describe the global asymptotic behavior of systems on compact phase spaces. Furthermore, methods from the qualitative theory for linear and no
Author: Renato Feres
Publisher: Cambridge University Press
Keywords: cambridge, tracts, mathematics, introduction, groups, systems, semisimple, dynamical
Number of Pages: 264
Published: 1998-06-13
List price: $99.00
ISBN-10: 0521591627
ISBN-13: 9780521591621
Here is an introduction to dynamical systems and ergodic theory with an emphasis on smooth actions of noncompact Lie groups. The main goal is to serve as an entry into the current literature on the ergodic theory of measure preserving actions of semisimple Lie groups for students who have taken the standard first year graduate courses in mathematics. The author develops in a detailed and self-contained way the main results on Lie groups, Lie algebras, and semisimple groups, including basic facts normally covered in first courses on manifolds and Lie groups plus topics such as integration of i
Author: Stephen Wiggins
Publisher: Springer
Keywords: applied, mathematical, sciences, systems, dynamical, hyperbolic, invariant, manifolds, normally
Number of Pages: 202
Published: 1994-06-10
List price: $99.00
ISBN-10: 038794205X
ISBN-13: 9780387942056
In the past ten years, there has been much progress in understanding the global dynamics of systems with several degrees-of-freedom. An important tool in these studies has been the theory of normally hyperbolic invariant manifolds and foliations of normally hyperbolic invariant manifolds. In recent years these techniques have been used for the development of global perturbation methods, the study of resonance phenomena in coupled oscillators, geometric singular perturbation theory, and the study of bursting phenomena in biological oscillators. "Invariant manifold theorems" have become standard
