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 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 discontinuousprocessesIncludes
qualitative analysis of behaviors on Tumor-Immune Systems and methods of
analysis for DNA, neural networks and epidemiologyIntroduces 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 physicsDemonstrates
mathematic modeling relevant to molecular biology, genetics, neurosciences,
artificial intelligence as well as classic problems in mechanics,
astronomy, and physics