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E-book

Title Mathematical modeling and applications in nonlinear dynamics / Albert C.J. Luo, Hüseyin Merdan, editors
Published Cham : Springer, 2016

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Description 1 online resource (vii, 205 pages) : illustrations (some color)
Series Nonlinear systems and complexity, 2195-9994
Nonlinear systems and complexity, 2195-9994
Contents From the Contents: Introduction -- Mathematical Neuroscience: from neurons to networks -- Jupiters belts, our Ozone holes, and Degenerate tori -- Analytical solutions of periodic motions in time-delay systems -- DNA elasticity and its biological implications -- Epidemiology, dynamics, control and multi-patch mobility
Summary 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
Notes "The chapters of this edited book are selected from the 3rd International Conference on Complex Dynamical Systems: New Mathematical Concepts and Applications in Life Sciences (CDSC 2014), held at Ankara, Turkey, 24-26 November 2014."
Bibliography Includes bibliographical references at the end of each chapters
Notes English
Online resource; title from PDF title page (SpringerLink, viewed February 3, 2016)
Subject Nonlinear mechanics -- Mathematical models
Mathematical modelling.
Nonlinear science.
Life sciences: general issues.
Mathematical physics.
Cybernetics & systems theory.
SCIENCE -- Mechanics -- General.
SCIENCE -- Mechanics -- Solids.
Nonlinear mechanics -- Mathematical models
Form Electronic book
Author Luo, Albert C. J., editor.
Merdan, Hüseyin, editor
ISBN 9783319266305
3319266306