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Introduction to Mathematical Modeling and Chaotic Dynamics

Ranjit Kumar Upadhyay and Satteluri R. K. Iyengar
Publisher: 
Chapman & Hall/CRC
Publication Date: 
2013
Number of Pages: 
351
Format: 
Hardcover
Price: 
89.95
ISBN: 
9781439898864
Category: 
Textbook
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Introduction to Mathematical Modeling
Introduction
What Is Mathematical Modeling?
Classification of Mathematical Models
Limitations Associated with Mathematical Modeling
Modeling Approaches
Modeling/Cyclic Processes
A Modeling Diagram
Compartment Models
Mathematical Preliminaries
Dynamic System and Its Mathematical Model
Numerical Tools and Software Used

Modeling of Systems from Natural Science
Introduction
Models with Single Population
Two-Dimensional (2D) Continuous Models (Modeling of Population Dynamics of Two Interacting Species)
2D Discrete Models

Introduction to Chaotic Dynamics
Introduction
Chaos and Chaotic Dynamics
Primary Routes to Study Chaos
Types of Chaos, Transients, and Attractors
Methods of Investigation for Detecting Chaos
Poincaré Map and Poincaré Section
Lyapunov Exponents

Chaotic Dynamics in Model Systems from Natural Science
Introduction
Chaos in Single Species Model Systems
Chaos in Two Species Model Systems
Chaos in Two Species Model Systems with Diffusion
Chaos in Multi-Species Model Systems

Modeling of Some Engineering Systems
Introduction
Models in Mechanical Systems
Models in Electronic Circuits
Nonlinear Circuits

Solutions to Odd-Numbered Problems

Index

Dummy View - NOT TO BE DELETED