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Mathematical modeling and applicatio...

Luo, Albert C.J.

Mathematical modeling and applications in nonlinear dynamics

Record Type:	Electronic resources : Monograph/item
Title/Author:	Mathematical modeling and applications in nonlinear dynamicsedited by Albert C.J. Luo, Huseyin Merdan.
other author:	Luo, Albert C.J.
Published:	Cham :Springer International Publishing :2016.
Description:	vii, 205 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Nonlinear mechanicsMathematical models.
Online resource:	http://dx.doi.org/10.1007/978-3-319-26630-5
ISBN:	9783319266305$q(electronic bk.)

Mathematical modeling and applications in nonlinear dynamics
Mathematical modeling and applications in nonlinear dynamics[electronic resource] /edited by Albert C.J. Luo, Huseyin Merdan. - Cham :Springer International Publishing :2016. - vii, 205 p. :ill., digital ;24 cm. - Nonlinear systems and complexity,142195-9994 ;. - Nonlinear systems and complexity ;7..

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.

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.

ISBN: 9783319266305$q(electronic bk.)

Standard No.: 10.1007/978-3-319-26630-5doiSubjects--Topical Terms:

739692
Nonlinear mechanics
--Mathematical models.

LC Class. No.: QA427

Dewey Class. No.: 531.01515

Mathematical modeling and applications in nonlinear dynamics
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505 0 $a 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.
520 $a 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.
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