On the integrable deformations of a system related to the motion of two vortices in an ideal incompressible fluid [PDF]
ITM Web of Conferences, 2019 Altering the first integrals of an integrable system integrable deformations of the given system are obtained. These integrable deformations are also integrable systems, and they generalize the initial system.
Lăzureanu Cristian +2 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2021 We obtain an existence theorem of nonzero solution for a class of bounded selfadjoint operator equations. The main result contains as a special case the existence result of a nontrivial homoclinic orbit of a class of Hamiltonian systems by Coti Zelati ...
Mingliang Song, Runzhen Li
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Construction of discrete-time model for port-controlled Hamiltonian systems with applications [PDF]
, 2006 The issues of constructing a discrete-time model for Hamiltonian systems are in general different from those for dissipative systems. We propose an algorithm for constructing an approximate discrete-time model, which guarantees Hamiltonian conservation ...
Astolfi, A., +4 more
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Some notes on port-Hamiltonian systems on Banach spaces [PDF]
, 2021 We consider port-Hamiltonian systems from a functional analytic perspective. Dirac structures and Hamiltonians on Banach spaces are introduced, and an energy balance is proven.
Reis, Timo
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Controlled Lagrangian and Hamiltonian Systems [PDF]
, 2002 any control systems are mechanical systems. The unique feature of mechanical systems is the notion of energy, which gives much information on the stability of equilibria.
Chang, Dong Eui
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On Factorization, Interconnection and Reduction of Collocated Port-Hamiltonian Systems [PDF]
, 2004 Based on a geometric interpretation of nonlinear balanced reduction some implications of this approach are analyzed in the case of collocated port-Hamiltonian systems which have a certain balance in its structure.
Ricardo Lopezlena +6 more
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Integrating Hamiltonian systems defined on the Lie groups SO(4) and SO(1,3) [PDF]
, 2007 In this paper we study constrained optimal control problems on semi-simple Lie groups. These constrained optimal control problems include Riemannian, sub-Riemannian, elastic and mechanical problems. We begin by lifting these problems, through the Maximum
Biggs, James, Holderbaum, William
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Discrete exterior geometry approach to structure-preserving discretization of distributed-parameter port-Hamiltonian systems [PDF]
, 2011 This paper addresses the issue of structure-preserving discretization of open distributed-parameter systems with Hamiltonian dynamics. Employing the formalism of discrete exterior calculus, we introduce a simplicial Dirac structure as a discrete analogue
Seslija, Marko, +11 more
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Equivariant singularity theory with distinguished parameters: Two case studies of resonant Hamiltonian systems [PDF]
, 1998 We consider Hamiltonian systems near equilibrium that can be (formally) reduced to one degree of freedom. Spatio-temporal symmetries play a key role. The planar reduction is studied by equivariant singularity theory with distinguished parameters.
Vegter, G +15 more
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Energy-Storage Balanced Reduction of Port-Hamiltonian Systems [PDF]
, 2003 Supported by the framework of dissipativity theory, a procedure based on physical energy to balance and reduce port-Hamiltonian systems with collocated inputs and outputs is presented.
Fujimoto, Kenji +9 more
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