Mathematical Modeling and Applications in Nonlinear Dynamics / Nonlinear Systems and Complexity Bd.14 (PDF)

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