Isolated Diophantine numbers

DOI10.1134/s156035472455001xMaRDI QIDQ6612698

Luigi Chierchia, Fernando Argentieri

Publication date: 1 October 2024

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

zbMATH Keywords

KAM theoryCantor setsDiophantine conditionssmall divisor problemsDiophantine sets

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Diophantine inequalities (11D75) Integrable cases of motion in rigid body dynamics (70E40)

Cites Work

• Continued fractions and the Markoff tree
• Iteration of analytic functions
• KAM stability and celestial mechanics
• Do Diophantine vectors form a Cantor bouquet?
• Locally most robust circles and boundary circles for area-preserving maps
• Quasianalytic monogenic solutions of a cohomological equation
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Related Items (1)

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