A remark on the KAM theorem applied to a four-vortex system.

DOI10.1007/BF01016428zbMath1082.37509OpenAlexW2141492579MaRDI QIDQ1963470

Alessandra Celletti, Corrado Falcolini

Publication date: 2 February 2000

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01016428

zbMATH Keywords

KAM theoryquasiperiodic motionsfour-vortex systemstochasticity threshold

Mathematics Subject Classification ID

Hamilton's equations (70H05) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55)

Related Items (3)

Studies of perturbed three vortex dynamics ⋮ Unnamed Item ⋮ Point-vortex cluster formation in the plane and on the sphere: An energy bifurcation condition

Cites Work

• Construction of analytic KAM-surfaces and effective stability bounds
• Integrable and chaotic motions of four vortices. I. The case of identical vortices
• Unnamed Item

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