Mathematical modeling and applications in nonlinear dynamics [electronic resource] / Albert C.J. Luo, Hüseyin Merdan, editors.
2016
QA427
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Title
Mathematical modeling and applications in nonlinear dynamics [electronic resource] / Albert C.J. Luo, Hüseyin Merdan, editors.
ISBN
9783319266305 (electronic book)
3319266306 (electronic book)
9783319266282
3319266284
3319266306 (electronic book)
9783319266282
3319266284
Published
Cham : Springer, 2016.
Language
English
Description
1 online resource (vii, 205 pages) : illustrations.
Item Number
10.1007/978-3-319-26630-5 doi
Call Number
QA427
Dewey Decimal Classification
531.01/515
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.
Note
"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."
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Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed February 3, 2016).
Added Author
Series
Nonlinear systems and complexity.
Available in Other Form
Print version: 9783319266282
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Table of 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.
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.