Online Public Access Catalogue (OPAC)
Library,Documentation and Information Science Division

“A research journal serves that narrow

borderland which separates the known from the unknown”

-P.C.Mahalanobis


Image from Google Jackets

Introduction to mathematical modeling and chaotic dynamics / Ranjit Kumar Upadhyay and Satteluri R. K. Iyengar.

By: Contributor(s): Publication details: Boca Raton : CRC Press, c2014.Description: xii, 351 p. : illustrations ; 25 cmISBN:
  • 9781439898864
Subject(s): DDC classification:
  • 23 Up65 515.35
Contents:
[1]. 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. [2]. 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. [3]. 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 Poincare Map and Poincare Section Lyapunov Exponents. [4]. 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. [5]. Modeling of Some Engineering Systems... Introduction Models in Mechanical Systems Models in Electronic Circuits Nonlinear Circuits Solutions to Odd-Numbered Problems Index Exercises and References are included in each chapter.
Summary: "Focusing on applications rather than theory, this book elucidates the real-life utilization of mathematical modeling and modern mathematical methods, such as bifurcation analysis, dynamical system theory, nonlinear dynamics, and chaotic dynamics. It provides a practical understanding of how the models are used in current research in the areas of population dynamics, physical science, and engineering, and contains a large number of solved examples, applications, and hints to unsolved problems. The text covers all fundamental concepts and mathematical skills needed to build models and do analyses and also provides an informative overview of known literature"--
Tags from this library: No tags from this library for this title. Log in to add tags.

Includes index.

[1]. 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.
[2]. 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.
[3]. 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 Poincare Map and Poincare Section Lyapunov Exponents.
[4]. 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.
[5]. Modeling of Some Engineering Systems...
Introduction Models in Mechanical Systems Models in Electronic Circuits Nonlinear Circuits Solutions to Odd-Numbered Problems Index Exercises and References are included in each chapter.

"Focusing on applications rather than theory, this book elucidates the real-life utilization of mathematical modeling and modern mathematical methods, such as bifurcation analysis, dynamical system theory, nonlinear dynamics, and chaotic dynamics. It provides a practical understanding of how the models are used in current research in the areas of population dynamics, physical science, and engineering, and contains a large number of solved examples, applications, and hints to unsolved problems. The text covers all fundamental concepts and mathematical skills needed to build models and do analyses and also provides an informative overview of known literature"--

There are no comments on this title.

to post a comment.
Library, Documentation and Information Science Division, Indian Statistical Institute, 203 B T Road, Kolkata 700108, INDIA
Phone no. 91-33-2575 2100, Fax no. 91-33-2578 1412, ksatpathy@isical.ac.in