Displaying similar documents to “Aspects of Long-time Behaviour of Solutions of Non-linear Hamiltonian Evolution Equations.”

Output synchronization of multi-agent port-Hamiltonian systems with link dynamics

Bing Wang, Xinghu Wang, Honghua Wang (2016)

Kybernetika

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In this paper, the output synchronization control is considered for multi-agent port-Hamiltonian systems with link dynamics. By using Hamiltonian energy function and Casimir function comprehensively, the design method is proposed to overcome the difficulties taken by link dynamics. The Hamiltonian function is used to handle the dynamic of agent, while the Casimir function is constructed to deal with the dynamic of link. Thus the Lyapunov function is generated by modifying the Hamiltonian...

A simple proof of the non-integrability of the first and the second Painlevé equations

Henryk Żołądek (2011)

Banach Center Publications

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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.

Andrew Lenard: a mystery unraveled.

Praught, Jeffery, Smirnov, Roman G. (2005)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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