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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Bibliographic Details
Other Authors: Luo, Albert C.J. (Editor), Merdan, Hüseyin (Editor)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2016, 2016
Edition:1st ed. 2016
Series:Nonlinear Systems and Complexity
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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100 1 |a Luo, Albert C.J.  |e [editor] 
245 0 0 |a Mathematical Modeling and Applications in Nonlinear Dynamics  |h Elektronische Ressource  |c edited by Albert C.J. Luo, Hüseyin Merdan 
250 |a 1st ed. 2016 
260 |a Cham  |b Springer International Publishing  |c 2016, 2016 
300 |a VII, 205 p. 31 illus., 30 illus. in color  |b online resource 
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 
653 |a Nonlinear Optics 
653 |a Bioinformatics 
653 |a Computational and Systems Biology 
653 |a Applied Dynamical Systems 
653 |a Mathematical Models of Cognitive Processes and Neural Networks 
653 |a Neural networks (Computer science)  
653 |a Graph Theory 
653 |a Nonlinear theories 
653 |a Graph theory 
653 |a Dynamics 
700 1 |a Merdan, Hüseyin  |e [editor] 
041 0 7 |a eng  |2 ISO 639-2 
989 |b Springer  |a Springer eBooks 2005- 
490 0 |a Nonlinear Systems and Complexity 
028 5 0 |a 10.1007/978-3-319-26630-5 
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082 0 |a 515.39 
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 discontinuousprocesses 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