A01=Ranjit Kumar Upadhyay
A01=Satteluri R. K. Iyengar
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Allee Effect
Andronov Hopf Bifurcation
Asymptotically Stable
Author_Ranjit Kumar Upadhyay
Author_Satteluri R. K. Iyengar
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Bifurcation Diagram
Category1=Non-Fiction
Category=PBKJ
Category=PBWH
Category=PHU
Chaotic Attractor
Chua’s Circuit
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eq_isMigrated=2
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eq_science
Equilibrium Point
Equilibrium Point E0
Equilibrium Point E1
Globally Asymptotically Stable
Half Saturation Constant
Hopf Bifurcation
Interior Equilibrium Point
Kolmogorov Theorem
Language_English
Leslie Gower Model
Limit Cycle
Limit Cycle Solutions
Lyapunov Function
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Pitchfork Bifurcation
Positive Equilibrium Point
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Saddle Node Bifurcation
softlaunch
Stable Limit Cycle
Strong Allee Effect
Transcritical Bifurcation
Turing Patterns
Introduction to Mathematical Modeling and Chaotic Dynamics
Introduction to Mathematical Modeling and Chaotic Dynamics focuses on mathematical models in natural systems, particularly ecological systems. Most of the models presented are solved using MATLAB®.
The book first covers the necessary mathematical preliminaries, including testing of stability. It then describes the modeling of systems from natural science, focusing on one- and two-dimensional continuous and discrete time models. Moving on to chaotic dynamics, the authors discuss ways to study chaos, types of chaos, and methods for detecting chaos. They also explore chaotic dynamics in single and multiple species systems. The text concludes with a brief discussion on models of mechanical systems and electronic circuits.
Suitable for advanced undergraduate and graduate students, this book provides a practical understanding of how the models are used in current natural science and engineering applications. Along with a variety of exercises and solved examples, the text presents all the fundamental concepts and mathematical skills needed to build models and perform analyses.
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Product Details
- Weight: 660g
- Dimensions: 156 x 234mm
- Publication Date: 23 Jul 2013
- Publisher: Taylor & Francis Inc
- Publication City/Country: US
- Language: English
- ISBN13: 9781439898864
About Ranjit Kumar UpadhyaySatteluri R. K. Iyengar
Dr. Ranjit Kumar Upadhyay is a professor in the Department of Applied Mathematics at the Indian School of Mines. He has been teaching applied mathematics and mathematical modeling courses for more than 16 years. He is a member of the American Mathematical Society and the International Society of Computational Ecology, Hong Kong. His research areas include chaotic dynamics of real-world situations, population dynamics for marine and terrestrial ecosystems, disease dynamics, reaction–diffusion modeling, environmental modeling, differential equations, and dynamical systems theory.
Dr. Satteluri R.K. Iyengar is the dean of academic affairs and a professor of mathematics at Gokaraju Rangaraju Institute of Engineering & Technology. He was previously a professor and head of the Department of Mathematics at the Indian Institute of Technology New Delhi. He has been a professor for more than 22 years, has published numerous journal articles, and has been a recipient of several awards. His research areas encompass numerical analysis and mathematical modeling.
