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.
Author(s): Albert C.J. Luo, Hüseyin Merdan (eds.)
Series: Nonlinear Systems and Complexity 14
Edition: 1
Publisher: Springer International Publishing
Year: 2016
Language: English
Pages: VII, 205
Tags: Complexity; Mathematical Models of Cognitive Processes and Neural Networks; Nonlinear Dynamics; Systems Biology; Complex Networks
Front Matter....Pages i-vii
The Solution of the Second Peskin Conjecture and Developments....Pages 1-46
On Periodic Motions in a Time-Delayed, Quadratic Nonlinear Oscillator with Excitation....Pages 47-61
Mathematical Analysis of a Delayed Hematopoietic Stem Cell Model with Wazewska–Lasota Functional Production Type....Pages 63-86
Random Noninstantaneous Impulsive Models for Studying Periodic Evolution Processes in Pharmacotherapy....Pages 87-107
Boundedness of Solutions to a Certain System of Differential Equations with Multiple Delays....Pages 109-123
Delay Effects on the Dynamics of the Lengyel–Epstein Reaction-Diffusion Model....Pages 125-160
Almost Periodic Solutions of Evolution Differential Equations with Impulsive Action....Pages 161-205
