8 edition of Normally hyperbolic invariant manifolds in dynamical systems found in the catalog.
Includes bibliographical references (p. -190) and index.
|Statement||Stephen Wiggins ; with the assistance of György Haller and Igor Mezic.|
|Series||Applied mathematical sciences ;, v. 105, Applied mathematical sciences (Springer-Verlag New York Inc.) ;, v. 105.|
|LC Classifications||QA1 .A647 vol. 105, QA614.8 .A647 vol. 105|
|The Physical Object|
|Pagination||ix, 193 p. :|
|Number of Pages||193|
|ISBN 10||038794205X, 354094205X|
|LC Control Number||94008078|
Recent results about stable ergodicity. Bowen M. Differential Equations, Numerical implementation of computations of invariant tori.
This extends well-known results by Fenichel and Hirsch, Pugh and Shub, and is complementary to noncompactness results in Banach spaces by Bates, Lu and Zeng. The integral homology of Smale diffeomorphisms. Some background in dynamical systems is expected. Beyond hyperbolicity. Numerical implementation of computations of invariant tori.
The most useful and best known invariant objects that are persistent under perturbations are normally hyperbolic invariant manifolds and quasiperiodic solutions. Random walk in the three-body problem and applications. Genericity theorems in topological dynamics. The lecturers will present some recent theoretical developments, numerical calculations and applications. Recurrence for random dynamical systems.
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Filtrations, decompositions, and explosions. PDF Blum L. Some background in dynamical systems is expected.
Wiggins also describes a variety of settings where these techniques can be used in applications. Ergodic elements of ergodic actions.
Invariant manifolds, Lecture Notes on Mathematics, no. The total energy that is, the sum of kinetic energy and potential energy can be described by a scalar valued function called the Hamiltonian.
We give a brief description of the theory in the next section. Degrees-of-Freedom DoF. Lecturers: A. Libration points in the restricted three-body problem: Euler angles, existence and stability.
Evaluating rational functions: infinite precision is finite cost and tractable on average.
Transition map and shadowing lemma for normally hyperbolic invariant manifolds. Furthermore, issues such as uniformity and bounded Normally hyperbolic invariant manifolds in dynamical systems book arising due to noncompactness are discussed in great detail with examples.
Locally no-recrossing. PDF Armentano D. Non-integrability of the collinear three-body problem. Adaptive step-size selection for homotopy methods to solve polynomial equations. Endomorphisms of compact differentiable manifolds.
Journal Articles Epstein D. The most useful and best known invariant objects that are persistent under perturbations are normally hyperbolic invariant manifolds and quasiperiodic solutions. Bowen M. Geometric Dynamics, PDF Ruelle D. Entropy and stability. PDF Comment Module.
Entropy, linearity and chain-recurrence. PDF Pujals E. A surface has the ''globally no-recrossing'' property if any trajectory that crosses the surface does so only once.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.
TOPOLOGICAL EQUIVALENCE OF NORMALLY HYPERBOLIC DYNAMICAL SYSTEMS EQUIVALENCES THEOREM. Let X and X' be C' vector fields on manifolds M and M' with compact normally hyperbolic invariant submanifolds N and N', respectively. Let h: N-> N' be a topological equivalence between X'JN and X'IN'.Cited by: chapters on stable manifolds.
Indeed, the entire approach is taken from Hirsch, Pugh, and Shub, Invariant Manifolds, Springer Lecture Notes, No.and lends itself easily to the theory of normally hyperbolic invariant manifolds as carried out there.
The chapters are .These objects generalize hyperbolic fixed points and are ubiquitous in pdf systems. First, normally hyperbolic invariant manifolds and their relation to hyperbolic fixed points and center manifolds, as well as, overviews of history and methods of proofs are galisend.com: Atlantis Press.Aug 17, · These objects generalize hyperbolic fixed points and are ubiquitous in dynamical systems.
First, normally hyperbolic invariant manifolds and their relation to hyperbolic fixed points and center manifolds, as well as, overviews of history and methods of proofs are galisend.com: Atlantis Press.In ebook 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 galisend.comry: Books.