Dynamical Systems (Classic Reprint)

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