Results 1 to 10 of about 418,083 (279)

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

Approximate Evolution for A Hybrid System—An Optomechanical Jaynes-Cummings Model

Entropy, 2020
In this work, we start from a phenomenological Hamiltonian built from two known systems: the Hamiltonian of a pumped optomechanical system and the Jaynes-Cummings Hamiltonian. Using algebraic techniques we construct an approximate time evolution operator
Luis Medina-Dozal, Irán Ramos-Prieto, José Récamier   +2 more
doaj   +1 more source

Stochastic hamiltonian dynamical systems [PDF]

Reports on Mathematical Physics, 2008
46 pages. A converse to the Critical Action Principle has been added. The discussion on conserved quantities has been extended and linked to the study of the stability of equilibria of the solution ...
Lázaro-Camí, Joan-Andreu, Ortega, Juan-Pablo   +1 more
openaire   +2 more sources

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

Homogeneous Poisson structures on symmetric spaces

, 2008
We calculate, in a relatively explicit way, the Hamiltonian systems which arise from the Evens-Lu construction of homogeneous Poisson structures on both compact and noncompact type symmetric spaces.
Arlo Caine, Caine, Doug Pickrell, Evens, Foth, Foth, Helgason, Lu, Pickrell, Pickrell, Vaisman, Varadarajan   +11 more
core   +1 more source

Superintegrable Systems, Multi-Hamiltonian Structures and Nambu Mechanics in an Arbitrary Dimension

, 2002
A general algebraic condition for the functional independence of 2n-1 constants of motion of an n-dimensional maximal superintegrable Hamiltonian system has been proved for an arbitrary finite n.
A. TEĞMEN, A. VERÇIN, Evans N. W., Evans N. W., Gonera C., Hietarinta J., Kalnins E. G., Landau L. D., Minic D., Nambu Y., Thirring W., Winternitz P., Wolciechowski S.   +12 more
core   +1 more source

Frequency Tracking and Parameter Estimation for Robust Quantum State-Estimation

, 2011
In this paper we consider the problem of tracking the state of a quantum system via a continuous measurement. If the system Hamiltonian is known precisely, this merely requires integrating the appropriate stochastic master equation. However, even a small
A. Doherty, B. P. Lathi, B. Quinn, Charles D. Hill, D. Huang, E. T. Jaynes, H. M. Wiseman, Jason F. Ralph, Kurt Jacobs, M. O. Scully, P. E. Kloeden, R. Box, S. M. Kay, T. J. Cavicchi, V. B. Braginsky, W. H. Long, Y. Bar-Shalom   +16 more
core   +1 more source

Non-hyperbolic P-Invariant Closed Characteristics on Partially Symmetric Compact Convex Hypersurfaces

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⊂ℝ2⁢n{\Sigma\subset{\mathbb{R}}^{2n}} be a partially symmetric compact ...
Liu Hui, Zhu Gaosheng
doaj   +1 more source

Linear type global centers of cubic Hamiltonian systems symmetric with respect to the x-axis

Electronic Journal of Differential Equations, 2020
A polynomial differential system of degree 2 has no global centers (that is, centers defined in all the plane except the fixed point). In this paper we characterize the global centers of cubic Hamiltonian systems symmetric with respect to the x-axis ...
Luis Barreira, Jaume Llibre, Claudia Valls   +2 more
doaj  

New soliton, kink and periodic solutions for fractional space–time coupled Schrödinger equation

Alexandria Engineering Journal
This work investigates the time–space fractional coupled nonlinear Schrödinger equation. By applying an appropriate wave transformation, this equation is converted into a fourth-order system of ordinary differential equations, equivalent to a Hamiltonian
Manal Alharbi, Adel Elmandouh, Mamdouh Elbrolosy   +2 more
doaj   +1 more source