Introduction to mathematical modeling and chaotic dynamics. (2013)

• Record Type: Book
• Further Information: Note: By Ranjit Kumar Upadhyay, Satteluri R.K. Iyengar.
• Authors: Iyengar, Satteluri R. K
• Other Names: Upadhyay, Ranjit Kumar
• Contents: 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 Exercises and References are included in each chapter.
• Publisher Details: Place of publication not identified : Chapman and Hall/CRC
• Publication Date: 2013
• Extent: 1 online resource (363 pages), (100 illustrations)
• Subjects: 003.85015118; Dynamics -- Mathematical models; Chaotic behavior in systems -- Mathematical models
• Languages: English
• ISBNs: 9781439898871; 1439898871
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.