Sinopsis
Explore the foundations and frontiers of dynamical systems Discover the ideas that shape how mathematicians study motion, stability, and complex behavior in physical and geometric settings. This classic work surveys key principles, from existence theorems to variational methods, and introduces powerful concepts that influenced modern dynamics.
The text guides you through rigorous methods and practical insights into how systems evolve over time. It blends theory with applications, highlighting how periodic motions, stability, and geometric theorems illuminate the behavior of many-body problems and conservative or dissipative dynamics. Ideal for readers who want a solid grounding in the mathematics of motion and its deep, enduring questions.
- Foundations of differential equations and existence results
- Variational principles and their applications to dynamics
- Stability, normal forms, and the orbit structure of systems
- The geometry of motion, Poincaré’s theorem, and the three-body problem
This edition is well-suited for students and readers seeking a rigorous, historical, and influential treatment of dynamical systems. Ideal for readers of classic mathematical physics and applied mathematics.
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Excerpt from Dynamical Systems
Normal form for completely stable systems. Proof of the lemma of section 5 Reversibility and complete stability Other types of stability.
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This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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Dynamical Systems (Classic Reprint)
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Paperback. Condición: New. Print on Demand. This book delves into the fascinating world of dynamical systems, exploring the mathematical and physical principles that govern the motion of objects. The author, drawing on his own groundbreaking research and inspired by the work of luminaries like Galileo, Newton, and PoincarÃÂ , examines the essential role of differential equations in understanding dynamic phenomena. The text delves into the fundamental concepts of energy conservation, variational principles, and stability of motion, providing a comprehensive framework for analyzing the behavior of complex systems. Through discussions of Lagrangian systems, geometric constraints, and the principle of least action, the book offers a deep exploration of the mathematical elegance and physical significance of dynamical systems. By examining the nature of forces and their impact on motion, the author sheds light on the intricacies of motion in both conservative and dissipative systems, ultimately demonstrating the power of mathematics to illuminate the intricate workings of the physical world. 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: 9781334016653_0
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Paperback. Condición: Brand New. 311 pages. 9.00x6.00x0.60 inches. This item is printed on demand. Nº de ref. del artículo: zk1334016658
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Dynamical Systems (Classic Reprint)
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Forgotten Books Apr 2018, 2018
ISBN 10: 1334016658
ISBN 13: 9781334016653
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