Results 11 to 20 of about 24,728 (260)
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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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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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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Limit cycles of planar piecewise linear Hamiltonian differential systems with two or three zones
Electronic Journal of Qualitative Theory of Differential Equations, 2022 In this paper, we study the existence of limit cycles in continuous and discontinuous planar piecewise linear Hamiltonian differential system with two or three zones separated by straight lines and such that the linear systems that define the piecewise ...
Claudio Pessoa, Ronisio Ribeiro
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Instability in Hamiltonian systems
Electronic Journal of Qualitative Theory of Differential Equations, 2005 From the time of the pioneer Poincaré's essay up to the present days, chaos in conservative dynamics has been identified with the presence of heteroclinic motions in the phase space.
A. Pumarino, Claudia Valls
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Brake orbits for Hamiltonian systems of the classical type via geodesics in singular Finsler metrics
Advances in Nonlinear Analysis, 2022 We consider Hamiltonian functions of the classical type, namely, even and convex with respect to the generalized momenta. A brake orbit is a periodic solution of Hamilton’s equations such that the generalized momenta are zero on two different points ...
Corona Dario, Giannoni Fabio
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Stochastic Port-Hamiltonian Systems
Journal of Nonlinear Science, 2022 AbstractIn the present work we formally extend the theory of port-Hamiltonian systems to include random perturbations. In particular, suitably choosing the space of flow and effort variables we will show how several elements coming from possibly different physical domains can be interconnected in order to describe a dynamic system perturbed by general ...
Cordoni F. +3 more
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Weyl-Titchmarsh Theory for Hamiltonian Dynamic Systems
Abstract and Applied Analysis, 2010 We establish the Weyl-Titchmarsh theory for singular linear Hamiltonian dynamic systems on a time scale 𝕋, which allows one to treat both continuous and discrete linear Hamiltonian systems as special cases for 𝕋=ℝ and 𝕋=ℤ within ...
Shurong Sun, Martin Bohner, Shaozhu Chen
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MATEC Web of Conferences, 2017 In this paper we consider the normalization of quadratic Hamiltonian. We get the new method to find the generating function of the canonical transformation. We obtain the solution of the system of matrix equations to find this transformation.
Titova Tatiana
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Canonical transformations of linear Hamiltonian systems [PDF]
E3S Web of ConferencesIn this paper we consider the linear Hamiltonian systems of differential equations. We explore the normalization of a non-singular Hamiltonian matrix. We solve a system of matrix equations to find the generating function of the canonical transformation ...
Titova Tatiana
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