Results 11 to 20 of about 24,687,007 (292)
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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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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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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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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DISCRETE PORT HAMILTONIAN SYSTEMS [PDF]
IFAC Proceedings Volumes, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Talasila, V. +2 more
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On learning Hamiltonian systems from data. [PDF]
Chaos, 2019 Concise, accurate descriptions of physical systems through their conserved quantities abound in the natural sciences. In data science, however, current research often focuses on regression problems, without routinely incorporating additional assumptions ...
Tom S. Bertalan +3 more
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QUANTUM BI-HAMILTONIAN SYSTEMS [PDF]
International Journal of Modern Physics A, 2000 We define quantum bi-Hamiltonian systems, by analogy with the classical case, as derivations in operator algebras which are inner derivations with respect to two compatible associative structures. We find such structures by means of the associative version of Nijenhuis tensors. Explicit examples, e.g. for the harmonic oscillator, are given.
J.F. Carinena +2 more
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SympNets: Intrinsic structure-preserving symplectic networks for identifying Hamiltonian systems
Neural Networks, 2020 We propose new symplectic networks (SympNets) for identifying Hamiltonian systems from data based on a composition of linear, activation and gradient modules.
Pengzhan Jin +4 more
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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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Discrete-time port-Hamiltonian systems: A definition based on symplectic integration [PDF]
Systems & control letters (Print), 2018 We introduce a new definition of discrete-time port-Hamiltonian systems (PHS), which results from structure-preserving discretization of explicit PHS in time.
P. Kotyczka, L. Lefévre
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