Mathematical Modeling and Applications in Nonlinear Dynamics

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 throug...

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Corporate Author: SpringerLink (Online service)
Other Authors: Luo, Albert C.J. (Editor, http://id.loc.gov/vocabulary/relators/edt), Merdan, Hüseyin. (Editor, http://id.loc.gov/vocabulary/relators/edt)
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
Edition:1st ed. 2016.
Series:Nonlinear Systems and Complexity, 14
Subjects:
Online Access:https://doi.org/10.1007/978-3-319-26630-5
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245 1 0 |a Mathematical Modeling and Applications in Nonlinear Dynamics  |h [electronic resource] /  |c edited by Albert C.J. Luo, Hüseyin Merdan. 
250 |a 1st ed. 2016. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2016. 
300 |a VII, 205 p. 31 illus., 30 illus. in color.  |b online resource. 
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490 1 |a Nonlinear Systems and Complexity,  |x 2195-9994 ;  |v 14 
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. 
650 0 |a Computational complexity. 
650 0 |a Neural networks (Computer science) . 
650 0 |a Statistical physics. 
650 0 |a Systems biology. 
650 0 |a Physics. 
650 1 4 |a Complexity.  |0 https://scigraph.springernature.com/ontologies/product-market-codes/T11022 
650 2 4 |a Mathematical Models of Cognitive Processes and Neural Networks.  |0 https://scigraph.springernature.com/ontologies/product-market-codes/M13100 
650 2 4 |a Applications of Nonlinear Dynamics and Chaos Theory.  |0 https://scigraph.springernature.com/ontologies/product-market-codes/P33020 
650 2 4 |a Systems Biology.  |0 https://scigraph.springernature.com/ontologies/product-market-codes/L15010 
650 2 4 |a Applications of Graph Theory and Complex Networks.  |0 https://scigraph.springernature.com/ontologies/product-market-codes/P33010 
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