A Window into the World of KAM Theory

DOI10.1080/0025570X.2020.1792238zbMath1459.37052OpenAlexW3088613483MaRDI QIDQ5137088

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Publication date: 1 December 2020

Published in: Mathematics Magazine (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/0025570x.2020.1792238

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Cites Work

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• KAM tori for \(n\)-body problems: a brief history
• The Forced Damped Pendulum: Chaos, Complication and Control
• Chaotic Evolution of the Solar System
• The Dynamics of Circle Homeomorphisms: A Hands-on Introduction
• Stable and Random Motions in Dynamical Systems
• Chaotic Motion of a Pendulum with Oscillatory Forcing
• GLOBAL BEHAVIOR OF THE CHARGED ISOSCELES THREE-BODY PROBLEM
• PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN
• The KAM Story
• Geometric integration for particle accelerators
• Rational approximations to algebraic numbers

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