Results 41 to 50 of about 28,061 (167)
Controlled invariance for hamiltonian systems [PDF]
Mathematical Systems Theory, 1985 A notion of controlled invariance is developed which is suited to Hamiltonian control systems. This is done by replacing the controlled invariant distribution, as used for general nonlinear control systems, by the controlled invariant function group. It is shown how Lagrangian or coisotropic controlled invariant function groups can be made invariant by
openaire +4 more sources
Optimal control problems on the co-adjoint Lie groupoids [PDF]
Archives of Control SciencesIn this work we study the invariant optimal control problem on Lie groupoids.We show that any invariant optimal control problem on a Lie groupoid reduces to its co-adjoint Lie algebroid.
Ghorbanali Haghighatdoost
doaj +1 more source
Topological Invariant of Integrable Hamiltonian System on Cone Located in a Potential Field
پژوهشهای ریاضی, 2020 The theory of topological classification of integrable Hamiltonian systems with two degrees of freedom due to Fomenko and his school. On the basis of this theory we give a topological Liouville classification of the integrable Hamiltonian systems with ...
Ghorbanali Haghiighatdoost,
doaj
Homoclinic solutions for second order Hamiltonian systems with general potentials near the origin
Electronic Journal of Qualitative Theory of Differential Equations, 2013 In this paper, we study the existence of infinitely many homoclinic solutions for a class of second order Hamiltonian systems with general potentials near the origin. Recent results from the literature are generalized and significantly improved.
Qingye Zhang
doaj +1 more source
On periodic differential equations with dissipation
Electronic Journal of Qualitative Theory of Differential Equations, 2018 In this work we present an unexpected relation between the discriminant associated to a Hill equation with and without dissipation. We prove that by knowing the discriminant associated to a periodic differential equation, which is the summation of the ...
Carlos Franco, Joaquin Collado
doaj +1 more source
The Hamilton–Jacobi Theory for Contact Hamiltonian Systems
Mathematics, 2021 The aim of this paper is to develop a Hamilton–Jacobi theory for contact Hamiltonian systems. We find several forms for a suitable Hamilton–Jacobi equation accordingly to the Hamiltonian and the evolution vector fields for a given Hamiltonian function ...
Manuel de León +2 more
doaj +1 more source
On simplest Hamiltonian systems
Physica D: Nonlinear Phenomena, 1998 Simple Hamiltonian systems, such as mathematical pendulum or Euler equations for rigid body, are solved without computation. It is nothing but a joke but maybe you will find it nice.
openaire +3 more sources
Time-Dependent Hamiltonian Reconstruction Using Continuous Weak Measurements
PRX Quantum, 2023 Reconstructing the Hamiltonian of a quantum system is an essential task for characterizing and certifying quantum processors and simulators. Existing techniques either rely on projective measurements of the system before and after coherent time evolution
Karthik Siva +11 more
doaj +1 more source
Existence of a ground-state solution for a quasilinear Schrödinger system
Frontiers in PhysicsIn this paper, we consider the following quasilinear Schrödinger system.−Δu+u+k2Δ|u|2u=2αα+β|u|α−2u|v|β,x∈RN,−Δv+v+k2Δ|v|2v=2βα+β|u|α|v|β−2v,x∈RN,where k < 0 is a real constant, α > 1, β > 1, and α + β < 2*.
Xue Zhang +3 more
doaj +1 more source
Advanced Nonlinear Studies, 2018 Let n≥2{n\geq 2} be an integer, P=diag(-In-κ,Iκ,-In-κ,Iκ){P=\mathrm{diag}(-I_{n-\kappa},I_{\kappa},-I_{n-\kappa},I_{\kappa})} for some integer κ∈[0,n]{\kappa\in[0,n]}, and let Σ⊂ℝ2n{\Sigma\subset{\mathbb{R}}^{2n}} be a partially symmetric compact ...
Liu Hui, Zhu Gaosheng
doaj +1 more source