Results 61 to 70 of about 14,168 (160)

Existence of periodic solutions for sub-linear first-order Hamiltonian systems

open access: yesElectronic Journal of Differential Equations, 2015
We prove the existence solutions for the sub-linear first-order Hamiltonian system $J\dot{u}(t)+Au(t)+\nabla H(t,u(t))=h(t)$ by using the least action principle and a version of the Saddle Point Theorem.
Mohsen Timoumi
doaj  

Classification of Hamiltonian Linear Systems [PDF]

open access: yesIndiana University Mathematics Journal, 1973
openaire   +1 more source

Constructing Dynamical Symmetries for Quantum Computing: Applications to Coherent Dynamics in Coupled Quantum Dots

open access: yesNanomaterials
Dynamical symmetries, time-dependent operators that almost commute with the Hamiltonian, extend the role of ordinary symmetries. Motivated by progress in quantum technologies, we illustrate a practical algebraic approach to computing such time-dependent ...
James R. Hamilton   +2 more
doaj   +1 more source

A Quantum Formalism for Abstract Dynamical Systems

open access: yesMathematics
This paper presents a quantum formulation for classical abstract dynamical systems (ADS), defined by coupled sets of first-order differential equations. They are referred to as “abstract” because their dynamical variables can be of different interrelated
Joan C. Micó
doaj   +1 more source

Existence of infinitely many periodic solutions for second-order nonautonomous Hamiltonian systems

open access: yesElectronic Journal of Differential Equations, 2015
By using minimax methods and critical point theory, we obtain infinitely many periodic solutions for a second-order nonautonomous Hamiltonian systems, when the gradient of potential energy does not exceed linear growth.
Wen Guan, Da-Bin Wang
doaj  

Subharmonic solutions of first-order Hamiltonian systems

open access: yesAdvances in Nonlinear Analysis
The aim of this article is to study subharmonic solutions of superquadratic and asymptotically (constant) linear nonautonomous Hamiltonian systems in R2n{{\mathbb{R}}}^{2n} respectively, and to improve the results in Professor Liu’s [Subharmonic ...
Zhou Yuting
doaj   +1 more source

Maslov index for Hamiltonian systems

open access: yesElectronic Journal of Differential Equations, 2008
The aim of this article is to give an explicit formula for computing the Maslov index of the fundamental solutions of linear autonomous Hamiltonian systems in terms of the Conley-Zehnder index and the map time one flow.
Alessandro Portaluri
doaj  

Effective Mode Approximation for Probabilistic Verification of Collective Hamiltonians in Large Continuous-Variable Quantum Systems. [PDF]

open access: yesEntropy (Basel)
Rosas-Bustos JR   +7 more
europepmc   +1 more source

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