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Nonlinear Differential Equations and Dynamical Systems

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Nonlinear Differential Equations and Dynamical Systems - Verhulst, Ferdinand
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Bridging the gap between elementary courses and the research literature in this field, the book covers the basic concepts necessary to study differential equations. Stability theory is developed, starting with linearisation methods going back to Lyapunov and Poincare, before moving on to the global direct method. The Poincare-Lindstedt method is introduced to approximate periodic solutions, while at the same time proving existence by the implicit function theorem. The final part covers relaxation oscillations, bifurcation ...

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Nonlinear Differential Equations and Dynamical Systems 1996, Springer, Berlin, Heidelberg

ISBN-13: 9783540609346

2nd Rev and Expanded edition

Trade paperback

Nonlinear Differential Equations and Dynamical Systems 1989, Springer-Verlag Berlin and Heidelberg GmbH & Co. K, Berlin

ISBN-13: 9783540506287

Trade paperback