Provides methods formathematical models withswitching, thresholds, and impulses, each of particular importance fordiscontinuous processes
Includes qualitative analysis of behaviorson Tumor-Immune Systems and methods of analysis for DNA, neural networks andepidemiology
Introduces new concepts, methods, andapplications in nonlinear dynamical systems covering physical problems andmathematical 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 inmechanics, astronomy, and physics
Albert C.J. Luo is a Professor in the Department of Mechanical and Industrial Engineering, South Illinois University Edwardsville, Edwardsville, IL USA. Hüseyin Merdan is a Professor in the the
Department of Mathematics, TOBB University of Economics and Technology, Ankara, TURKEY.
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.
Introduction.- Mathematical Neuroscience: from neurons to networks.- Jupiters belts, our Ozone holes, and Degenerate tori.- Analytical solutions of periodic motions in time-delay systems.- DNA elasticity and its biological implications.- Epidemiology, dynamics, control and multi-patch mobility.- Exponential dichotomy and existence of almost periodic solutions for impulsive evolution .- equations.- Pseudo almost periodic solutions for a class of differential equations.- Effect of the Delay of the Immune Response on the Qualitative Behaviors on Tumor-Immune System.- Synchronization of the integrate-and-fire biological models with continuous/ discontinuous couplings.- Stability and Hopf Bifurcation Analysis of Lengyel-Epstein Reaction-Diffusion Model.- On the second Peskin conjecture solution.
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 processes
- Includesqualitative analysis of behaviors on Tumor-Immune Systems and methods ofanalysis for DNA, neural networks and epidemiology
- Introduces 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 physics
- Demonstratesmathematic modeling relevant to molecular biology, genetics, neurosciences,artificial intelligence as well as classic problems in mechanics,astronomy, and physics
From the Contents: Introduction.- Mathematical Neuroscience: from neurons to networks.- Jupiters belts, our Ozone holes, and Degenerate tori.- Analytical solutions of periodic motions in time-delay systems.- DNA elasticity and its biological implications.- Epidemiology, dynamics, control and multi-patch mobility.
Albert C.J. Luo is a Professor in the Department of Mechanical and Industrial Engineering, South Illinois University Edwardsville, Edwardsville, IL USA. Hüseyin Merdan is a Professor in the the
Department of Mathematics, TOBB University of Economics and Technology, Ankara, TURKEY.
Über den Autor
Albert C.J. Luo is a Professor in the Department of Mechanical and Industrial Engineering, South Illinois University Edwardsville, Edwardsville, IL USA. Hüseyin Merdan is a Professor in the the
Department of Mathematics, TOBB University of Economics and Technology, Ankara, TURKEY.
Inhaltsverzeichnis
Introduction.- Mathematical Neuroscience: from neurons to networks.- Jupiters belts, our Ozone holes, and Degenerate tori.- Analytical solutions of periodic motions in time-delay systems.- DNA elasticity and its biological implications.- Epidemiology, dynamics, control and multi-patch mobility.- Exponential dichotomy and existence of almost periodic solutions for impulsive evolution .- equations.- Pseudo almost periodic solutions for a class of differential equations.- Effect of the Delay of the Immune Response on the Qualitative Behaviors on Tumor-Immune System.- Synchronization of the integrate-and-fire biological models with continuous/ discontinuous couplings.- Stability and Hopf Bifurcation Analysis of Lengyel-Epstein Reaction-Diffusion Model.- On the second Peskin conjecture solution.
Klappentext
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
discontinuous processes
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
Includes supplementary material: sn.pub/extras
