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Introduction to Mathematical Modeling and Chaotic Dynamics

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Book Details

  • Author: Ranjit Kumar Upadhyay

  • Brand: CRC Press

  • Edition: 1st Edition

  • Binding: Paperback

  • Number of Pages: 363

  • Release Date: 27-09-2019

  • EAN: 9780367379766

  • Package Dimensions: 9.3 x 6.1 x 0.8 inches

  • Languages: English

About The Book
Introduction to Mathematical Modeling and Chaotic Dynamics focuses on the mathematical models used in natural systems, particularly ecological systems, and how to apply chaotic dynamics to these models. This book presents one- and two-dimensional continuous and discrete-time models, with the solutions often demonstrated using MATLAB®.

The text begins with essential mathematical preliminaries, including stability testing, and then progresses to discuss the modeling of natural systems. The focus shifts to chaotic dynamics, including methods for detecting and studying chaos, and its application to single and multiple species systems. It also covers models of mechanical systems and electronic circuits.

The book is suitable for advanced undergraduate and graduate students, offering a practical understanding of how mathematical models are used in natural science and engineering. With numerous solved examples and exercises, it provides the foundational concepts needed to build models and perform analyses.

About the Authors:

  • Dr. Ranjit Kumar Upadhyay is a professor in the Department of Applied Mathematics at the Indian School of Mines. He has over 16 years of experience teaching applied mathematics and mathematical modeling.

  • Dr. Satteluri R.K. Iyengar is the dean of academic affairs and a professor of mathematics at Gokaraju Rangaraju Institute of Engineering & Technology. He has over 22 years of experience and his research spans areas such as numerical analysis and mathematical modeling.