Results 31 to 40 of about 36,265 (314)
Elbert-type comparison theorems for a class of nonlinear Hamiltonian systems
Electronic Journal of Qualitative Theory of Differential Equations, 2016 Picone-type identities are established for a pair of solutions $(x,y)$ and $(X,Y)$ of the respective systems of the form \begin{equation} x' = r(t)x + p(t)\varphi_{1/\alpha} (y), \qquad y' = - q(t)\varphi_\alpha (x) - r(t)y, \tag{1.1} \end{equation ...
Jaroslav Jaroš, Takaŝi Kusano
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Perturbed Keplerian Hamiltonian Systems
International Journal of Differential Equations, 2023 This paper deals with a class of perturbation planar Keplerian Hamiltonian systems, by exploiting the nondegeneracy properties of the circular solutions of the planar Keplerian Hamiltonian systems, and by applying the implicit function theorem, we show ...
Riadh Chteoui
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On the perturbations of a Hamiltonian system
Computers & Mathematics with Applications, 2011 AbstractThe perturbations of a Hamiltonian system having compounded cycle are studied in this paper. The existence theory and stability theory of singular closed orbits are applied to study the given perturbed systems. By using the small parametric perturbation techniques of differential equations, we study Hopf bifurcation, singular closed orbits ...
Yuhai Wu +3 more
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On First Integrals of Hamiltonian System with Holonomic Hamiltonian
2022 IEEE 61st Conference on Decision and Control (CDC), 2022 In this study, the solution of the Hamilton-Jacobi equation (HJE) with holonomic Hamiltonian is investigated in terms of the first integrals of the corresponding Hamiltonian system. Holonomic functions are related to a specific type of partial differential equations called Pfaffian systems, whose solution space can be regarded as a finite-dimensional ...
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Periodic perturbations of Hamiltonian systems [PDF]
Advances in Nonlinear Analysis, 2016 Abstract We prove existence and multiplicity results for periodic solutions of Hamiltonian systems, by the use of a higher dimensional version of the Poincaré–Birkhoff fixed point theorem. The first part of the paper deals with periodic perturbations of a completely integrable system, while in the second part we focus on some suitable ...
FONDA, ALESSANDRO +2 more
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Hamiltonian open quantum system toolkit
Communications Physics, 2022 In quantum computing, simulating continuously evolving open quantum systems is key to describe dynamical processes on noisy quantum devices. Here, the authors present an open-source software package “Hamiltonian Open Quantum System Toolkit” (HOQST) for ...
Huo Chen, Daniel A. Lidar
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Hamiltonian elliptic system involving nonlinearities with supercritical exponential growth
AIMS Mathematics, 2023 In this paper, we deal with the existence of nontrivial solutions to the following class of strongly coupled Hamiltonian systems: $ \begin{equation*} \quad \left\{ \begin{array}{rclll} -{\rm div} \big(w(x)\nabla u\big) \ = \ g(x,v),&\ & x ...
Yony Raúl Santaria Leuyacc
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Molecular Oncology, EarlyView.There is an unmet need in metastatic breast cancer patients to monitor therapy response in real time. In this study, we show how a noninvasive and affordable strategy based on sequencing of plasma samples with longitudinal tracking of tumour fraction paired with a statistical model provides valuable information on treatment response in advance of the ...
Emma J. Beddowes +20 more
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Homoclinics for strongly indefinite almost periodic second order Hamiltonian systems
Advances in Nonlinear Analysis, 2017 Under certain assumptions, we prove the existence of homoclinic solutions for almost periodic second order Hamiltonian systems in the strongly indefinite case.
Pankov Alexander
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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.
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