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Discrete Dynamical Systems and Difference Equations with Mathematica - Kulenovic, Mustafa R.S.; Merino, Orlando
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Discrete Dynamical Systems and Difference Equations with Mathematica - neues Buch

ISBN: 9781584882879

ID: 263133

DYNAMICS OF ONE-DIMENSIONAL DYNAMICAL SYSTEMS Introduction Linear Difference Equations with Constant Coefficients Linear Difference Equations with Variable Coefficients Stability Stability in the Non-Hyperbolic Case Bifurcations Dynamica Session Symbolic Dynamics for One-Dimensional Maps Dissipative Maps and Global Attractivity Parametrisation and Poincar Functional Equation Exercises DYNAMICS OF TWO-DIMENSIONAL DYNAMICAL SYSTEMS Introduction Linear Theory Equilibrium Solutions The Riccati Equation Linearized Stability Analysis Dynamica Session Period Doubling Bifurcation Lyapunov Numbers Box Dimension Semicycle Analysis Stable and Unstable Manifold Dynamica Session on Henon's Equation Invariants Lyapunov Functions, Stability, and Invariants Dynamica Session on Lyness' Map Dissipative Maps and Systems Dynamica Session on Rational Difference Equations Area-preserving Maps and Systems Biology Applications Projects Applications in Economics Exercises SYSTEMS OF DIFFERENCE EQUATIONS, STABILITY, AND SEMICYCLES Introduction Linear Theory Stability of Linear Systems The Routh-Hurwitz and Schur-Cohn Criterion Nonlinear Systems and Stability Limit Sets and Invariant Manifolds Dissipative Maps Stability of Difference Equations Semicycle Analysis Dynamica Session on Semicycles Exercises INVARIANTS AND RELATED LYAPUNOV FUNCTIONS Introduction Invariants for Linear Equations and Systems Invariants and Corresponding Lyapunov Functions for Nonlinear Systems Invariants of Special Class of Difference Equations Applications Dynamica Session on Invariants Dynamica Session on Lyapunov Functions Invariance under Lie Group Transformations Exercises DYNAMICS OF THREE-DIMENSIONAL DYNAMICAL SYSTEMS Introduction Dynamica Session on Third Order Difference Equations Dissipative Difference Equation of Third Order Dynamica Session on Local Asymptotic Stability of Period-Two Solution Dynamica Session on Todd's Difference Equation Biology Applications Projects Exercises FRACTALS GENERATED BY ITERATED FUNCTIONS SYSTEMS Introduction Basic Definitions and Results Iterated Function System Basic Results on Iterated Functions Systems Calculation of Box Dimension for IFS Dynamica Session Exercises BIBLIOGRAPHY INDEX Mathematics Mathematics eBook, CRC Press

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Discrete Dynamical Systems and Difference Equations with Mathematica - Kulenovic, M. R. S. / Kulenovic, Mustafa R. S. / Kulenovic, Kulenovic R. S.
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Kulenovic, M. R. S. / Kulenovic, Mustafa R. S. / Kulenovic, Kulenovic R. S.:

Discrete Dynamical Systems and Difference Equations with Mathematica - gebrauchtes Buch

1975, ISBN: 9781584882879

ID: 7178849

Following the work of Yorke and Li in 1975, the theory of discrete dynamical systems and difference equations developed rapidly. The applications of difference equations also grew rapidly, especially with the introduction of graphical-interface software that can plot trajectories, calculate Lyapunov exponents, plot bifurcation diagrams, and find basins of attraction. Modern computer algebra systems have opened the door to the use of symbolic calculation for studying difference equations. This book offers an introduction to discrete dynamical systems and difference equations and presents the Dynamica software. Developed by the authors and based on Mathematica, Dynamica provides an easy-to-use collection of algebraic, numerical, and graphical tools and techniques that allow users to quickly gain the ability to: Find and classify the stability character of equilibrium and periodic points Perform semicycle analysis of solutions Calculate and visualize invariants Calculate and visualize Lyapunov functions and numbers Plot bifurcation diagrams Visualize stable and unstable manifolds Calculate Box Dimension While it presents the essential theoretical concepts and results, the book's emphasis is on using the software. The authors present two sets of Dynamica sessions: one that serves as a tutorial of the different techniques, the other features case studies of well-known difference equations. Dynamica and notebooks corresponding to particular chapters are available for download from the Internet. Discrete Dynamical Systems and Difference Equations with Mathematica Kulenovic, M. R. S. / Kulenovic, Mustafa R. S. / Kulenovic, Kulenovic R. S., CRC Press

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Discrete Dynamical Systems and Difference Equations With Mathematica - Kulenovic, M. R. S./ Merino, Orlando
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Kulenovic, M. R. S./ Merino, Orlando:
Discrete Dynamical Systems and Difference Equations With Mathematica - neues Buch

2002

ISBN: 1584882875

ID: 10552331938

[EAN: 9781584882879], Neubuch, [PU: Taylor and Francis], Mathematics|Differential Equations, Computers & the Internet|Computer Science, New Book. Shipped from US within 10 to 14 business days. Established seller since 2000.

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Discrete Dynamical Systems and Difference Equations with Mathematica - Mustafa R.S. Kulenovic; Orlando Merino
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Mustafa R.S. Kulenovic; Orlando Merino:
Discrete Dynamical Systems and Difference Equations with Mathematica - gebunden oder broschiert

2002, ISBN: 1584882875

ID: 12653477865

[EAN: 9781584882879], Neubuch, [PU: Chapman and Hall/CRC], Mathematics|Differential Equations, Computers & the Internet|Computer Science

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Discrete Dynamical Systems and Difference Equations with Mathematica - Kulenovic, Mustafa R.S.; Merino, Orlando
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Kulenovic, Mustafa R.S.; Merino, Orlando:
Discrete Dynamical Systems and Difference Equations with Mathematica - gebunden oder broschiert

ISBN: 9781584882879

ID: 892779839

Chapman and Hall/CRC. Hardcover. 1584882875 Like New Condition. . Fine., Chapman and Hall/CRC

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Discrete Dynamical Systems and Difference Equations with Mathematica
Autor:

Kulenovic, M. R. S.; Kulenovic, Mustafa R. S.; Kulenovic, Kulenovic R. S.

Titel:

Discrete Dynamical Systems and Difference Equations with Mathematica

ISBN-Nummer:

1584882875

This is both an introductory survey on the theory and techniques of discrete dynamical systems and difference equations and a users' manual for the software Dynamica, developed by the authors. Dynamica is based on the Mathematica software and is designed as a collection of tools for studying discrete dynamical systems and difference equations. It is simple to use, requiring no programming experience, and gives users a series of algebraic, numerical, and graphical techniques they can quickly learn to employ to study complex difference equations. The book includes exercises and research projects based on applications encountered in biology and economics.

Detailangaben zum Buch - Discrete Dynamical Systems and Difference Equations with Mathematica


EAN (ISBN-13): 9781584882879
ISBN (ISBN-10): 1584882875
Gebundene Ausgabe
Erscheinungsjahr: 2002
Herausgeber: CHAPMAN & HALL
360 Seiten
Gewicht: 0,676 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 15.03.2008 03:52:29
Buch zuletzt gefunden am 11.11.2016 14:11:38
ISBN/EAN: 1584882875

ISBN - alternative Schreibweisen:
1-58488-287-5, 978-1-58488-287-9

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