Nonlinear Differential Equations and Dynamical Systems is popular PDF and ePub book, written by Ferdinand Verhulst in 2012-12-06, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Nonlinear Differential Equations and Dynamical Systems can be Read Online from any device for your convenience.
Nonlinear Differential Equations and Dynamical Systems Book PDF Summary
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 Poincaré, before moving on to the global direct method. The Poincaré-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 theory, centre manifolds, chaos in mappings and differential equations, and Hamiltonian systems. The subject material is presented from both the qualitative and the quantitative point of view, with many examples to illustrate the theory, enabling the reader to begin research after studying this book.
Detail Book of Nonlinear Differential Equations and Dynamical Systems PDF
- Author : Ferdinand Verhulst
- Release : 06 December 2012
- Publisher : Springer Science & Business Media
- ISBN : 9783642971495
- Genre : Mathematics
- Total Page : 287 pages
- Language : English
- PDF File Size : 17,7 Mb
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