Nonlinear Physics, from Vibration Control to Rogue Waves and Beyond

Download or read book Nonlinear Physics, from Vibration Control to Rogue Waves and Beyond written by Attilio Maccari and published by Cambridge Scholars Publishing. This book was released on 2023-02-13 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is devoted to nonlinear physics, using the asymptotic perturbation method as a mathematical tool. The theory is developed systematically, starting with nonlinear oscillators, limit cycles and their bifurcations, followed by iterated nonlinear maps, continuous systems, nonlinear partial differential equations (NPDEs) and culminating with infinite-period bifurcation in the nonlinear Schrodinger equation and fractal and chaotic solutions in NPDEs. A remarkable feature of the book is its emphasis on applications. It offers several examples, and the scientific background is explained at an elementary level and closely integrated with the mathematical theory. In addition, it is ideal for an introductory course at the senior or first-year graduate level.