Mathematical Modeling and Applications in Nonlinear Dynamics

The book covers nonlinear physical problems and mathematicalmodeling, including molecular biology, genetics, neurosciences, artificialintelligence with classical problems in mechanics and astronomy and physics.The chapters present nonlinear mathematical modeling in life science andphysics through nonlinear differential equations, nonlinear discrete equationsand hybrid equations. Such modeling can be effectively applied to the widespectrum of nonlinear physical problems, including the KAM (Kolmogorov-Arnold-Moser(KAM)) theory, singular differential equations, impulsive dichotomous linearsystems, analytical bifurcation trees of periodic motions, and almost orpseudo- almost periodic solutions in nonlinear dynamical systems.Provides methodsfor mathematical models with switching, thresholds, and impulses, each ofparticular importance for discontinuous processesIncludesqualitative analysis of behaviors on Tumor-Immune Systems and methods ofanalysis for DNA, neural networks and epidemiologyIntroduces newconcepts, methods, and applications in nonlinear dynamical systems coveringphysical problems and mathematical modeling relevant to molecular biology,genetics, neurosciences, artificial intelligence as well as classic problems inmechanics, astronomy, and physicsDemonstratesmathematic modeling relevant to molecular biology, genetics, neurosciences,artificial intelligence as well as classic problems in mechanics,astronomy, and physics