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.