Nonlinear Systems and Complexity

Mathematical Modeling and Applications in Nonlinear Dynamics

Editors: Luo, Albert C. J., Merdan, Hüseyin (Eds.)

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  • 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
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eBook $74.99
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  • ISBN 978-3-319-26630-5
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Hardcover $99.00
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  • ISBN 978-3-319-26628-2
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Softcover $99.00
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  • ISBN 978-3-319-79983-4
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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.

About the authors

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.

Table of contents (7 chapters)

Table of contents (7 chapters)
  • The Solution of the Second Peskin Conjecture and Developments

    Akhmet, M. U.

    Pages 1-46

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

    Luo, Albert C. J. (et al.)

    Pages 47-61

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

    Yafia, Radouane (et al.)

    Pages 63-86

  • Random Noninstantaneous Impulsive Models for Studying Periodic Evolution Processes in Pharmacotherapy

    Wang, JinRong (et al.)

    Pages 87-107

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

    Tunç, Cemil

    Pages 109-123

Buy this book

eBook $74.99
price for USA in USD (gross)
  • ISBN 978-3-319-26630-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.00
price for USA in USD
  • ISBN 978-3-319-26628-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $99.00
price for USA in USD
  • ISBN 978-3-319-79983-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Mathematical Modeling and Applications in Nonlinear Dynamics
Editors
  • Albert C. J. Luo
  • Hüseyin Merdan
Series Title
Nonlinear Systems and Complexity
Series Volume
14
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG, part of Springer Nature
eBook ISBN
978-3-319-26630-5
DOI
10.1007/978-3-319-26630-5
Hardcover ISBN
978-3-319-26628-2
Softcover ISBN
978-3-319-79983-4
Series ISSN
2195-9994
Edition Number
1
Number of Pages
VII, 205
Number of Illustrations
1 b/w illustrations, 30 illustrations in colour
Topics