Results 1 to 10 of about 37,694 (310)
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
openaire +2 more sources
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
Contact Hamiltonian systems [PDF]
Journal of Mathematical Physics, 2019 In this paper, we study Hamiltonian systems on contact manifolds, which is an appropriate scenario to discuss dissipative systems. We show how the dissipative dynamics can be interpreted as a Legendrian submanifold, and also prove a coisotropic reduction theorem similar to the one in symplectic mechanics; as a consequence, we get a method to reduce the
Lainz Valcázar, Manuel +1 more
openaire +3 more sources
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
doaj +1 more source
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
doaj +1 more source
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
openaire +4 more sources
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
doaj +1 more source
Ergodicity in Hamiltonian Systems [PDF]
, 1995 We discuss the Sinai method of proving ergodicity of a discontinuous Hamiltonian system with (non-uniform) hyperbolic behavior.
Liverani, Carlangelo +1 more
openaire +2 more sources