Dynamical systems
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Dynamical systems a differential geometric approach to symmetry and reduction by

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Published by Wiley in Chichester, [West Sussex], New York .
Written in English

Subjects:

  • Differentiable dynamical systems.,
  • Vector fields.,
  • Symmetry.

Book details:

Edition Notes

StatementGiuseppe Marmo ... [et al.].
ContributionsMarmo, Giuseppe.
Classifications
LC ClassificationsQA614.8 .D934 1985
The Physical Object
Paginationxii, 377 p. :
Number of Pages377
ID Numbers
Open LibraryOL2862918M
ISBN 100471903396
LC Control Number84025814

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This book provides a self-contained comprehensive exposition of the theory of dynamical systems. The book begins with a discussion of several elementary but crucial examples. These are used to formulate a program for the general study of asymptotic properties and to Cited by: The first portion of the book is based on lectures given at the University of London and covers the background to dynamical systems, the fundamental properties of such systems, the local bifurcation theory of flows and diffeomorphisms and the logistic map and area-preserving planar lemoisduvinnaturel.com by: Apioneer in the field of dynamical systems created this modern one-semester introduction to the subject for his classes at Harvard University. Its wide-ranging treatment covers one-dimensional dynamics, differential equations, random walks, iterated function systems, symbolic dynamics, and Markov chains/5. Book Description This book provides a broad introduction to the subject of dynamical systems, suitable for a one or two-semester graduate course. In the first chapter, the authors introduce over a dozen examples, and then use these examples throughout the book Cited by:

Dynamical Systems is a collection of papers that deals with the generic theory of dynamical systems, in which structural stability becomes associated with a generic property. Some papers describe structural stability in terms of mappings of one manifold into another, as well as their singularities. This chapter describes the distal semidynamical system. In the case of dynamical systems, transformation groups where the action is through the reals or the integers, one can introduce the notions of positively (and negatively) distal dynamical systems, as is the case with many other notions. Format: Paperback This book provides an excellent way to learn linear algebra by using it to derive the properties of linear dynamic systems. It also includes a good introduction to nonlinear systems and control theory. There are many classic examples and a wealth of challenging lemoisduvinnaturel.com by: The book is given unity by a preoccupation with scaling arguments, but covers almost all aspects of the subject (dimensions of strange attractors, transitions to chaos, thermodynamic formalism, scattering quantum chaos and so on Ott has managed to capture the beauty of this subject in a way that should motivate and inform the next generation of students in applied dynamical systems."Cited by:

e-books in Dynamical Systems Theory category Random Differential Equations in Scientific Computing by Tobias Neckel, Florian Rupp - De Gruyter Open, This book is a self-contained treatment of the analysis and numerics of random differential equations from . The book introduces dynamical systems, starting with one- and two-dimensional Hodgkin-Huxley-type models and continuing to a description of bursting systems. Each chapter proceeds from the simple to the complex, and provides sample problems at the end. Nov 17,  · Several distinctive aspects make Dynamical Systems unique, including: treating the subject from a mathematical perspective with the proofs of most of the results included. providing a careful review of background materials. introducing ideas through examples and at a level accessible to a beginning graduate student Cited by: This chapter presents topological dynamic systems. The invariance principle states that if the positive limit sets of a dynamical system have an invariance property, then Liapunov functions can be used to obtain information on the location of positive limits sets.