Results 11 to 20 of about 8,993,262 (259)
A Symplectic Algorithm for Constrained Hamiltonian Systems
Axioms, 2022 In this paper, a symplectic algorithm is utilized to investigate constrained Hamiltonian systems. However, the symplectic method cannot be applied directly to the constrained Hamiltonian equations due to the non-canonicity.
Jingli Fu +4 more
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ON THE SYMMETRIES OF HAMILTONIAN SYSTEMS [PDF]
International Journal of Modern Physics A, 1995 In this paper we show how the well-known local symmetries of Lagrangian systems, and in particular the diffeomorphism invariance, emerge in the Hamiltonian formulation. We show that only the constraints which are linear in the momenta generate transformations which correspond to symmetries of the corresponding Lagrangian system.
Mukhanov, V., Wipf, A.
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Perturbed Keplerian Hamiltonian Systems
International Journal of Differential Equations, 2023 This paper deals with a class of perturbation planar Keplerian Hamiltonian systems, by exploiting the nondegeneracy properties of the circular solutions of the planar Keplerian Hamiltonian systems, and by applying the implicit function theorem, we show ...
Riadh Chteoui
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An Overview on Irreversible Port-Hamiltonian Systems
Entropy, 2022 A comprehensive overview of the irreversible port-Hamiltonian system’s formulation for finite and infinite dimensional systems defined on 1D spatial domains is provided in a unified manner.
Hector Ramirez, Yann Le Gorrec
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Real Hamiltonian forms of Hamiltonian systems [PDF]
The European Physical Journal B, 2004 We introduce the notion of a real form of a Hamiltonian dynamical system in analogy with the notion of real forms for simple Lie algebras. This is done by restricting the complexified initial dynamical system to the fixed point set of a given involution. The resulting subspace is isomorphic (but not symplectomorphic) to the initial phase space. Thus to
G. MARMO +3 more
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Hamiltonian and Variational Linear Distributed Systems [PDF]
, 2002 We use the formalism of bilinear- and quadratic differential forms in order to study Hamiltonian and variational linear distributed systems. It was shown in [1] that a system described by ordinary linear constant-coefficient differential equations is ...
Rapisarda, P. +7 more
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ULTRADISCRETE HAMILTONIAN SYSTEMS [PDF]
Glasgow Mathematical Journal, 2005 Summary: The method of ultradiscrete limit is applied to a series of discrete systems derived from Hamiltonian systems parametrized with corresponding lattice polygons. For every ultradiscrete system, general solution is obtained from the polar set of each lattice polygon.
Iwao, Masataka, Takahashi, Daisuke
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Sections of Hamiltonian Systems [PDF]
Regular and Chaotic Dynamics, 2021 A section of a Hamiltonian system is a hypersurface in the phase space of the system, usually representing a set of one-sided constraints (e.g. a boundary, an obstacle or a set of admissible states). In this paper we give local classification results for all typical singularities of sections of regular (non-singular) Hamiltonian systems, a problem ...
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Linear Hamiltonian behaviors and bilinear differential forms [PDF]
, 2004 We study linear Hamiltonian systems using bilinear and quadratic differential forms. Such a representation-free approach allows us to use the same concepts and techniques to deal with systems isolated from their environment and with systems subject to ...
Rapisarda, P. +7 more
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TURKISH JOURNAL OF MATHEMATICS, 2020 Summary: In this paper, we develop the basic theory of linear \(q\)-Hamiltonian systems. In this context, we establish an existence and uniqueness result. Regular spectral problems are studied. Later, we introduce the corresponding maximal and minimal operators for this system. Finally, we give a spectral resolution.
Bilender PAŞAOĞLU ALLAHVERDİEV +1 more
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