On Invariant Surfaces and Bifurcation of Periodic Solutions of Ordinary Differential Equations (Classic Reprint) - Tapa blanda

On Invariant Surfaces and Bifurcation of Periodic Solutions of Ordinary

Paperback. Condición: New. Print on Demand. This book delves into the realm of ordinary differential equations, where specific conditions are investigated to illuminate the intriguing behavior of periodic solutions. The author focuses on equations that can exhibit bifurcations, phenomenon where a tiny change in an equation's parameters triggers a qualitative shift in its solutions. The book's main subject is the stability of periodic solutions, a topic central to understanding complex systems. By exploring how stability changes as parameters vary, the author unveils the mechanisms that drive these intricate transformations. Through rigorous mathematical methods, the author reveals the delicate interplay between nonlinear damping and other factors that influence solution stability. This examination yields insights into the behavior of physical systems, ranging from celestial mechanics to electrical circuits, where bifurcations play a crucial role. By illuminating the underlying mathematical principles, this book empowers readers to comprehend the subtleties of bifurcation theory and its implications for understanding the dynamics of real-world systems. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Nº de ref. del artículo: 9781333702168_0

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