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Ordinary Differential Equations and Dynamical Systems
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Ordinary Differential Equations and Dynamical Systems
by


File Type :PDF
Number of Pages :364

Description
The aim of this book is to give a self contained introduction to the field of ordinary differential equations with emphasis on the dynamical systems point of view while still keeping an eye on classical tools as pointed out before. Covered topics are: Newton’s equations, Classification of differential equations, First order autonomous equations, Qualitative analysis of first order equations, Initial value problems, Linear equations, Differential equations in the complex domain, Boundary value problems, Dynamical systems, Planar dynamical systems, Higher dimensional dynamical systems, Local behavior near fixed points, Chaos, Discrete dynamical systems, Discrete dynamical systems in one dimension, Periodic solutions, Chaos in higher dimensional systems.
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