000			02809cam a22003135i 4500
003			CUTN
005			20180605105652.0
008			151228s2016 nyu 000 0 eng
020			_a9783319266282
041			_aEnglish
082			_a531.015 _bLUO
100	1		_aLuo, Albert.
245	1	0	_aMathematical modeling and applications in nonlinear dynamics / _cAlbert Luo.
260			_aCham : _bSpringer, _c2016.
300			_avii, 205 pages : _billustrations (some color). _c24 cm
440			_aNonlinear systems and complexity
500			_aThe 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
505			_tFrom the Contents: Introduction -- _tMathematical Neuroscience: from neurons to networks -- _tJupiters belts, our Ozone holes, and Degenerate tori -- _tAnalytical solutions of periodic motions in time-delay systems -- _tDNA elasticity and its biological implications -- _tEpidemiology, dynamics, control and multi-patch mobility.
650			_aNonlinear mechanics--Mathematical models
650			_aNeural networks (Computer science)
650			_aPhysics
650			_aStatistical physics
650			_aSystems biology
650			_aComputational complexity
650			_aEngineering
942			_2ddc _cBOOKS
263			_a1601
856	4	1	_3Table of contents only _uhttps://www.loc.gov/catdir/enhancements/fy1611/2015960740-t.html
999			_c25044 _d25044