Non Linear Differential Equations And Dynamical Systems
Download and Read Non Linear Differential Equations And Dynamical Systems full books in PDF, ePUB, and Kindle. Read online free Non Linear Differential Equations And Dynamical Systems ebook anywhere anytime directly on your device. We cannot guarantee that every ebooks is available!
Nonlinear Differential Equations and Dynamical Systems
Author | : Ferdinand Verhulst |
Publisher | : Springer Science & Business Media |
Total Pages | : 287 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3642971490 |
Download Nonlinear Differential Equations and Dynamical Systems Book in PDF, Epub and Kindle
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.
Nonlinear Differential Equations and Dynamical Systems Related Books
Pages: 287
Pages: 158
Pages: 530
Pages: 356
Pages: 433