Mathematical Modeling and Applications in Nonlinear Dynamics

Mathematical Modeling and Applications in Nonlinear Dynamics
Springer | Physics | February 29, 2016 | ISBN-10: 3319266284 | 205 pages | pdf | 3.27 mb

Editors: Luo, Albert C.J., Merdan, Hüseyin (Eds.)
Provides methods for mathematical models with switching, thresholds, and impulses, each of particular importance for discontinuous processes
Includes qualitative analysis of behaviors on Tumor-Immune Systems and methods of analysis for DNA, neural networks and epidemiology
Introduces new concepts, methods, and applications in nonlinear dynamical systems covering physical problems and mathematical modeling relevant to molecular biology, genetics, neurosciences, artificial intelligence as well as classic problems in mechanics, astronomy, and physics
Demonstrates mathematic modeling relevant to molecular biology, genetics, neurosciences, artificial intelligence as well as classic problems in mechanics, astronomy, and physics

The book covers nonlinear physical problems and mathematical modeling, including molecular biology, genetics, neurosciences, artificial intelligence with classical problems in mechanics and astronomy and physics. The chapters present nonlinear mathematical modeling in life science and physics through nonlinear differential equations, nonlinear discrete equations and hybrid equations. Such modeling can be effectively applied to the wide spectrum of nonlinear physical problems, including the KAM (Kolmogorov-Arnold-Moser (KAM)) theory, singular differential equations, impulsive dichotomous linear systems, analytical bifurcation trees of periodic motions, and almost or pseudo- almost periodic solutions in nonlinear dynamical systems.

Number of Illustrations and Tables
30 illus., 1 in colour
Topics
Complexity
Mathematical Models of Cognitive Processes and Neural Networks
Nonlinear Dynamics
Systems Biology
Complex Networks

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Title: Mathematical Modeling and Applications in Nonlinear Dynamics
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