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Mathematical Modeling and Applications in Nonlinear Dynamics

Albert C.J. Luo, Hüseyin Merdan (Herausgeber)

Buch | Hardcover

VII, 205 Seiten

2016 | 1st ed. 2016
Springer International Publishing (Verlag)
978-3-319-26628-2 (ISBN)

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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.

Albert C.J. Luo is a Professor in the Department of Mechanical and Industrial Engineering, South Illinois University Edwardsville, Edwardsville, IL USA. Hüseyin Merdan is a Professor in the the Department of Mathematics, TOBB University of Economics and Technology, Ankara, TURKEY.

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.

Erscheinungsdatum	08.10.2016
Reihe/Serie	Nonlinear Systems and Complexity
Zusatzinfo	VII, 205 p. 31 illus., 30 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Technik
Schlagworte	Biomathematics • Complexity • complex networks • Differential equations and functional differential • Differential equations and functional differential equations • Discontinuous dynamical systems • Engineering • Mathematical Models of Cognitive Processes and Neu • Neural networks • Nonlinear Dynamics • Synchronization • systems biology
ISBN-10	3-319-26628-4 / 3319266284
ISBN-13	978-3-319-26628-2 / 9783319266282
Zustand	Neuware