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Mathematical Modeling and Applications in Nonlinear Dynamics

  • Albert C.J. Luo
  • Hüseyin Merdan

Part of the Nonlinear Systems and Complexity book series (NSCH, volume 14)

About this book

Introduction

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.

  • 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

Keywords

Biomathematics Differential equations and functional differential equations Discontinuous dynamical systems Neural networks Synchronization

Editors and affiliations

  • Albert C.J. Luo
    • 1
  • Hüseyin Merdan
    • 2
  1. 1.Dept of Mech.Eng & Industrial Engg.Southern Illinois Univ, EdwardsvilleEdwardsvilleUSA
  2. 2.TOBB Univ. of Economics and TechnologyDepartment of MathematicsAnkaraTurkey

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-26630-5
  • Copyright Information Springer International Publishing Switzerland 2016
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-26628-2
  • Online ISBN 978-3-319-26630-5
  • Series Print ISSN 2195-9994
  • Series Online ISSN 2196-0003
  • Buy this book on publisher's site