Description

Book Synopsis
This book develops the theory of ordinary differential equations (ODEs), starting from an introductory level (with no prior experience in ODEs assumed) through to a graduate-level treatment of the qualitative theory, including bifurcation theory (but not chaos).

Table of Contents
Introduction.- Linear Systems with Constant Coefficients.- Nonlinear Systems: Local Theory.- Nonlinear Systems: Global Theory.- Nondimensionalization and Scaling.- Trajectories Near Equilibria.- Oscillations in ODEs.- Bifurcation from Equilibria.- Examples of Global Bifurcation.- Epilogue.- Appendices.

Ordinary Differential Equations Basics and Beyond

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    A Paperback by David G. Schaeffer, John W. Cain

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      Book details

      Publisher Springer New York
      Published 6/23/2018 12:00:00 AM
      ISBN-13 9781493981847
      978-1493981847
      ISBN-10 1493981846
      Also in:
      Dictionaries, Reference & Language Cybernetics and systems theory Science & Nature Mathematical / Computational / Theoretical physics

      Description

      Book Synopsis
      This book develops the theory of ordinary differential equations (ODEs), starting from an introductory level (with no prior experience in ODEs assumed) through to a graduate-level treatment of the qualitative theory, including bifurcation theory (but not chaos).

      Table of Contents
      Introduction.- Linear Systems with Constant Coefficients.- Nonlinear Systems: Local Theory.- Nonlinear Systems: Global Theory.- Nondimensionalization and Scaling.- Trajectories Near Equilibria.- Oscillations in ODEs.- Bifurcation from Equilibria.- Examples of Global Bifurcation.- Epilogue.- Appendices.

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