Hyperbolicity and Chaotic Dynamics: Fractal Dimensions and Infinitely Many Attractors in Dynamics: 35 (Cambridge Studies in Advanced Mathematics, Series Number 35) - Image 1

£67.29

Cambridge University Press Hyperbolicity and Chaotic Dynamics: Fractal Dimensions and Infinitely Many Attractors in Dynamics: 35 (Cambridge Studies in Advanced Mathematics, Series Number 35)

Name: Hyperbolicity and Chaotic Dynamics: Fractal Dimensions and Infinitely Many Attractors in Dynamics: 35 (Cambridge Studies in Advanced Mathematics, Series Number 35)
Brand: Cambridge University Press
Price: 65.47 GBP
Availability: InStock

Differential Equations

Price History & Forecast

Last 28 days • 28 data points (No recent data available)

Historical

Generating forecast...

Price Distribution

Price distribution over 28 days • 2 price levels

Days at Price

Current Price

Price Analysis

Most common price: £65 (19 days, 67.9%)

Price range: £65 - £67

Price levels: 2 different prices over 28 days

Description

This is a self-contained introduction to the classical theory of homoclinic bifurcation theory, as well as its generalizations and more recent extensions to higher dimensions. It is also intended to stimulate new developments, relating the theory of fractal dimensions to bifurcations, and concerning homoclinic bifurcations as generators of chaotic dynamics. To this end the authors finish the book with an account of recent research and point out future prospects. The book begins with a review chapter giving background material on hyperbolic dynamical systems. The next three chapters give a detailed treatment of a number of examples, Smale's description of the dynamical consequences of transverse homoclinic orbits and a discussion of the subordinate bifurcations that accompany homoclinic bifurcations, including Hénon-like families. The core of the work is the investigation of the interplay between homoclinic tangencies and non-trivial basic sets. The fractal dimensions of these basic sets turn out to play an important role in determining which class of dynamics is prevalent near a bifurcation. The authors provide a new, more geometric proof of Newhouse's theorem on the coexistence of infinitely many periodic attractors, one of the deepest theorems in chaotic dynamics. Based on graduate courses, this unique book will be an essential purchase for students and research workers in dynamical systems, and also for scientists and engineers applying ideas from chaos theory and nonlinear dynamics.

Product Specifications

Brand: Cambridge University Press
Format: paperback
ASIN: 0521475724
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis > Differential Equations
Domain: Amazon UK
Release Date: 12 January 2008
Listed Since: 04 January 2007

Barcode

No barcode data available

Cambridge University Press Hyperbolicity and Chaotic Dynamics: Fractal Dimensions and Infinitely Many Attractors in Dynamics: 35 (Cambridge Studies in Advanced Mathematics, Series Number 35)

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

An Introduction to Dynamical Systems and Chaos (University Texts in the Mathematical Sciences)

Elsevier Fractal Dimensions for Poincare Recurrences Vol 2

Chaotic Dynamics: Fractals, Tilings, and Substitutions (Cambridge Mathematical Textbooks)

An Introduction to Dynamical Systems and Chaos

Dimension Theory of Hyperbolic Flows (Springer Monographs in Mathematics)

Nonuniform Hyperbolicity - Cambridge University Press Book

Chapman and Hall/CRC Lectures on Bifurcations, Dynamics and Symmetry

An Introduction To Chaotic Dynamical Systems

A First Course in Dynamics: with a Panorama of Recent Developments

An Introduction To Chaotic Dynamical Systems

An Introduction to Dynamical Systems

An Exploration of Dynamical Systems and Chaos: Completely Revised and Enlarged Second Edition

Bifurcation and Chaos in Complex Systems (Volume 1) (Edited Series on Advances in Nonlinear Science and Complexity, Volume 1)

Recent Improvements in the Theory of Chaotic Attractors

Normally Hyperbolic Invariant Manifolds in Dynamical Systems: 105 (Applied Mathematical Sciences, 105)

Lectures on Chaotic Dynamical Systems (AMS/IP Studies in Advanced Mathematics)

Bifurcation Theory of Impulsive Dynamical Systems: 34 (IFSR International Series in Systems Science and Systems Engineering, 34)

A First Course In Chaotic Dynamical Systems: Theory And Experiment

Attractor Dimension Estimates for Dynamical Systems: Theory and Computation: Dedicated to Gennady Leonov: 38 (Emergence, Complexity and Computation, 38)

Attractor Dimension Estimates for Dynamical Systems: Theory and Computation: Dedicated to Gennady Leonov: 38 (Emergence, Complexity and Computation, 38)

Conformal Fractals: Ergodic Theory Methods: 371 (London Mathematical Society Lecture Note Series, Series Number 371)

Hamiltonian Dynamical Systems: A REPRINT SELECTION

Chaos, Dynamics, and Fractals: An Algorithmic Approach to Deterministic Chaos: 2 (Cambridge Nonlinear Science Series, Series Number 2)

New Methods For Chaotic Dynamics: 58 (World Scientific Series on Nonlinear Science Series A)