Results 1 to 10 of about 8,993,262 (259)
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
Hamiltonian Systems with Spin [PDF]
Canadian Mathematical Bulletin, 1969 In this note we give a brief exposition of the mathematical foundations of the theory of spin for both classical and quantum mechanical systems on oriented Riemannian manifolds. We shall use freely the notations and theory developed in Abraham [1] and Marsden [2, 3], From the physical point of view nothing new appears.
openaire +2 more sources
DISCRETE PORT HAMILTONIAN SYSTEMS [PDF]
IFAC Proceedings Volumes, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Talasila, V. +2 more
openaire +3 more sources
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
doaj +1 more source