Titlebook: Ordinary Differential Equations: Basics and Beyond; David G. Schaeffer,John W. Cain Textbook 2016 Springer Science+Business Media New York

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Ordinary Differential Equations: Basics and Beyond978-1-4939-6389-8Series ISSN 0939-2475 Series E-ISSN 2196-9949

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Nonlinear Systems: Global Theory,Theorem 3.2.1 guarantees that a solution to the initial value problem exists for what might be an extremely short time.

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Nondimensionalization and Scaling,The preceding chapter had some pretty heavy analysis, and the next has even more. In what may be welcome relief, the present chapter pushes in an orthogonal direction: it focuses on . and ., which are techniques for simplifying ODEs that arise in applications.

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Bifurcation from Equilibria,In Chapter . we studied the behavior of solutions of an ODE near a hyperbolic equilibrium point. In this chapter we turn to behavior near nonhyperbolic equilibria.

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Epilogue,In this epilogue, we offer brief overviews of several ODE topics not covered in the main body of the text.

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