On classical series expansions for quasi-periodic motions.
Giorgilli, Antonio, Locatelli, Ugo (1997)
Mathematical Physics Electronic Journal [electronic only]
Similarity:
Giorgilli, Antonio, Locatelli, Ugo (1997)
Mathematical Physics Electronic Journal [electronic only]
Similarity:
Jürgen Pöschel (1993)
Mathematische Zeitschrift
Similarity:
E. Zenhder (1975)
Publications mathématiques et informatique de Rennes
Similarity:
F. Cammaroto, T. Noiri (1989)
Matematički Vesnik
Similarity:
Eliasson, L.H. (1996)
Mathematical Physics Electronic Journal [electronic only]
Similarity:
Delshams, Amadeu, Seara, Tere M. (1997)
Mathematical Physics Electronic Journal [electronic only]
Similarity:
Ricardo Pérez-Marco (2001-2002)
Séminaire Bourbaki
Similarity:
Boris Khesin (1993)
Recherche Coopérative sur Programme n°25
Similarity:
Paul H. Rabinowitz, Kazunaga Tanaka (1991)
Mathematische Zeitschrift
Similarity:
Simonetta Abenda, Tamara Grava (2005)
Annales de l’institut Fourier
Similarity:
We derive the modulation equations (Whitham equations) for the Camassa-Holm (CH) equation. We show that the modulation equations are hyperbolic and admit a bi-Hamiltonian structure. Furthermore they are connected by a reciprocal transformation to the modulation equations of the first negative flow of the Korteweg de Vries (KdV) equation. The reciprocal transformation is generated by the Casimir of the second Poisson bracket of the KdV averaged flow. We show that...
Eric Séré (1992)
Mathematische Zeitschrift
Similarity:
Henryk Żołądek (2011)
Banach Center Publications
Similarity:
The first and the second Painlevé equations are explicitly Hamiltonian with time dependent Hamilton function. By a natural extension of the phase space one gets corresponding autonomous Hamiltonian systems in ℂ⁴. We prove that the latter systems do not have any additional algebraic first integral. In the proof equations in variations with respect to a parameter are used.