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Mathematical Modeling and Applications in Nonlinear Dynamics

  • Book
  • © 2016

Overview

Editors:
  1. Albert C.J. Luo

    1. Dept of Mech.Eng & Industrial Engg., Southern Illinois Univ, Edwardsville, Edwardsville, USA

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    You can also search for this editor in PubMed   Google Scholar

  2. Hüseyin Merdan

    1. TOBB Univ. of Economics and Technology, Department of Mathematics, Ankara, Turkey

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • 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
  • Includes supplementary material: sn.pub/extras

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

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-vii
    Download chapter PDF

  2. The Solution of the Second Peskin Conjecture and Developments

    • M. U. Akhmet
    Pages 1-46

  3. On Periodic Motions in a Time-Delayed, Quadratic Nonlinear Oscillator with Excitation

    • Albert C. J. Luo, Hanxiang Jin
    Pages 47-61

  4. Mathematical Analysis of a Delayed Hematopoietic Stem Cell Model with Wazewska–Lasota Functional Production Type

    • Radouane Yafia, M. A. Aziz Alaoui, Abdessamad Tridane, Ali Moussaoui
    Pages 63-86

  5. Random Noninstantaneous Impulsive Models for Studying Periodic Evolution Processes in Pharmacotherapy

    • JinRong Wang, Michal Fečkan, Yong Zhou
    Pages 87-107

  6. Boundedness of Solutions to a Certain System of Differential Equations with Multiple Delays

    • Cemil Tunç
    Pages 109-123

  7. Delay Effects on the Dynamics of the Lengyel–Epstein Reaction-Diffusion Model

    • Hüseyin Merdan, Şeyma Kayan
    Pages 125-160

  8. Almost Periodic Solutions of Evolution Differential Equations with Impulsive Action

    • Viktor Tkachenko
    Pages 161-205
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Keywords

About this book

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.

Editors and Affiliations

  • Dept of Mech.Eng & Industrial Engg., Southern Illinois Univ, Edwardsville, Edwardsville, USA

    Albert C.J. Luo

  • TOBB Univ. of Economics and Technology, Department of Mathematics, Ankara, Turkey

    Hüseyin Merdan

About the editors

Albert C.J. Luo is a Professor in the Department of Mechanical and Industrial Engineering, South Illinois University Edwardsville, Edwardsville, IL USA. Hüseyin Merdan is a Professor in the the
Department of Mathematics, TOBB University of Economics and Technology, Ankara, TURKEY.

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