Iteration Theory

Name: Iteration Theory
Brand: WORLD SCIENTIFIC PUB CO INC
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By: W Forg-rob (Editor), Norbert Netzer (Editor), Christian Mira (Editor), Gyoergy Targonski (Editor), Detlef Gronau (Editor)

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Hardcover | 1 December 1995

At a Glance

Hardcover
296 Pages

Dimensions(cm)
22.86 x 16.51 x 2.54

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Iteration theory has its roots in the operation of substituting functions into itself. This has led to questions like that of the behaviour of functions by repeating this substitution and when the number of iterations tends to infinity. The terms "orbit" and "chaos" appropriately describe this behaviour. Dynamical systems and the theory of functional equations play important roles in this field.

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Preface
Topological Invariants for Bimodal Maps	p. 1
Symbolic Dynamical Systems and K-Theory	p. 9
Omega-Limit Sets for Smooth Maps	p. 24
An Extension of the Notion of Chaotic Area in Two-Dimensional Endomorphisms	p. 38
On Bourlet's Functional Equation	p. 51
Disappearance of a Dovetail Structure in the Parameter Plane of a One-Dimensional Map	p. 55
Cognitive Dynamics - Dynamic Cognition?	p. 65
Eigenvalue Multiplicity and Number of Orbits II	p. 77
Homoclinic Orbits of Saddles in Two-Dimensional Endomorphisms	p. 81
Contact Bifurcations of Absorbing Areas and Chaotic Areas in Two-Dimensional Endomorphisms	p. 100
Properties of Invariant Areas in Two-Dimensional Endomorphisms	p. 112
Iterative Subsemigroups of the Unit Interval with a t-Norm Structure	p. 126
An Asymptotic Formula for the Iterates of a Function and Related Functional Equations	p. 136
The Group of Formal Diffeomorphisms of the Line and Iteration Theory	p. 152
Topological Dynamics of Triangular Maps of the Square	p. 165
Strange Attractors in Cellular Automata	p. 172
Constructions of Fractional Iterates of Sperner Homeomorphisms of the Plane	p. 182
Phantom-Wurzeln und Einbettungen (On Phantom Roots and Imbeddings)	p. 193
Qualitative Modifications of the "Lip"-Bifurcation Structure	p. 199
Chaotic Control	p. 207
The Convergence of Fast Pilgerschritt Transformation	p. 220
Capacity for Expanding Piecewise Monotonic Interval Maps	p. 224
On the Local Distribution of Formal Power Series Transformations in Several Variable with Respect to Embeddability	p. 236
A Note on Simultaneous Abel Equations	p. 245
Additive Selections of a Composition of Additive Set-Valued Functions	p. 251
Iteration Groups of Continuous Functions Possessing Fixed Points	p. 255
On Rational Flows of Continuous Functions	p. 265
Maximal Scrambled Sets for Chaotic Functions with Topological Entropy Zero	p. 277
Characteristic Polynomials of Composition Operators	p. 279
A MAPLE Assisted Proof of an Assertion in Misiurewicz's Theorem of the Lozi Attractor	p. 281
Phantom Iterates and Liedl's Pilgerschritt Transformation	p. 284
Table of Contents provided by Blackwell. All Rights Reserved.

Iteration Theory

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Hardcover

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