Nonlinear Ordinary Differential Equations PDF


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Nonlinear Ordinary Differential Equations PDF

Nonlinear Ordinary Differential Equations PDF : Pages 540

FOURTH EDITION by D. W. Jordan and P. Smith

An introduction for Scientists and Engineers

This book is a revised and reset edition of Nonlinear ordinary differential equations, published in previous editions in 1977, 1987, and 1999.

Second-order differential equations in the phase plane ; Plane autonomous systems and linearization ; Geometrical aspects of plane autonomous systems ; Periodic solutions; averaging methods ; Perturbation methods ; Singular perturbation methods ; Forced oscillations: harmonic and subharmonic response, stability, and entrainment ; Poincaré stability (stability of paths) ; Paths and solution curves for general systems ; Stability of time solutions : Liapunov stability ; Stability by solution perturbation: Mathieu’s equation ; Liapunov methods for determining stability of the zero solution ; The existence of periodic solutions ; Bifurcations and manifolds ; Poincaré sequences, homoclinic bifurcation, and chaos

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