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Fundamentals of Dynamical Systems and Bifurcation Theory
 
 
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Fundamentals of Dynamical Systems and Bifurcation Theory [Hardcover]

M. Medved (Author), Milan Medved (Author)

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Book Description

0750301503 978-0750301503 May 21, 1992 1
This graduate level text explains the fundamentals of the theory of dynamical systems. After reading it you will have a good enough understanding of the area to study the extensive literature on dynamical systems.
The book is self contained, as all the essential definitions and proofs are supplied, as are useful references: all the reader needs is a knowledge of basic mathematical analysis, algebra and topology. However, the first chapter contains an explanation of some of the methods of differential topology an understanding of which is essential to the theory of dynamical systems.
A clear introduction to the field, which is equally useful for postgraduates in the natural sciences, engineering and economics.

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Editorial Reviews

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A very good text to have in one's bookcase. It is authoritative and an excellent reference.
Contemporary Physics
good text to have in one's bookcase. It is authoritative and an excellent reference.
Contemporary Physics

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Inside This Book (learn more)
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
parametrized diffeomorphism, parametrized vector fields, admissible chart, parametrized system, germ equivalent, hyperbolic singular point, conjugating diffeomorphism, global transversal, bifurcation equation, generic bifurcations, local transversal, system gyp, arbitrary eigenvalue, eigenvalue with zero real part, centre manifold, analytical mappings, linear normed spaces, periodic trajectory, relative topology induced, bifurcation theorem, pure imaginary eigenvalues, open neighbourhood, periodic trajectories, smooth manifold, linear vector field
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Proof Let, Implicit Function Theorem, Inverse Mapping Theorem, Malgrange-Weierstrass Theorem, Takens Theorem, Proof According, Sard Theorem, Taylor Theorem, Kupka-Smale Theorem, Proof Without, Whitney C'-topology, Abraham Transversality Theorem, Floquet Theorem, Mean Value Theorem, Proof First, Proof From Lemma, Banach Fixed Point Theorem, Global Hopf Bifurcation Theorem, Local Flow Box Theorem
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