Results 31 to 40 of about 82,726 (225)

Hamilton-Jacobi approach to Berezinian singular systems [PDF]

open access: yes, 1997
In this work we present a formal generalization of the Hamilton-Jacobi formalism, recently developed for singular systems, to include the case of Lagrangians containing variables which are elements of Berezin algebra.
B.M. Pimentel   +17 more
core   +2 more sources

Hamilton-Jacobi Equations with State Constraints [PDF]

open access: yesTransactions of the American Mathematical Society, 1990
In the present paper we consider Hamilton-Jacobi equations of the form H ( x , u , ∇ u ) = 0 , x ∈ Ω H(x,u,\nabla u) = 0,\;x \in \Omega , where Ω \Omega is a bounded open subset of
CAPUZZO DOLCETTA, Italo, P. L. Lions
openaire   +1 more source

Hamilton-Jacobi Method for Mechanical Systems on Time Scales

open access: yesComplexity, 2018
This paper presents the Hamilton-Jacobi method for integrating the equations of motion of mechanical systems on time scales. We give the criterion and four basic forms of canonical transformation on time scales.
Xiang-Hua Zhai, Yi Zhang
doaj   +1 more source

A Study on Numerical Solutions of Hamilton-Jacobi-Bellman Equations Based on Successive Approximation Approach

open access: yesSICE Journal of Control, Measurement, and System Integration, 2020
This paper presents a numerical approach to solve the Hamilton-Jacobi-Bellman (HJB) equation, which arises in nonlinear optimal control. In this approach, we first use the successive approximation to reduce the HJB equation, a nonlinear partial ...
Ichiro Maruta   +2 more
doaj   +1 more source

Linear almost Poisson structures and Hamilton-Jacobi equation. Applications to nonholonomic Mechanics [PDF]

open access: yes, 2008
In this paper, we study the underlying geometry in the classical Hamilton-Jacobi equation. The proposed formalism is also valid for nonholonomic systems.
M. León, J. Marrero, D. D. Diego
semanticscholar   +1 more source

Action-angle variables for the Lie–Poisson Hamiltonian systems associated with the Hirota–Satsuma modified Boussinesq equation

open access: yesFrontiers in Physics, 2023
In this work, we present two finite-dimensional Lie–Poisson Hamiltonian systems associated with the Hirota–Satsuma modified Boussinesq equation by using the nonlinearization method. Moreover, the separation of variables on the common level set of Casimir
Xue Geng, Dianlou Du, Xianguo Geng
doaj   +1 more source

Optimal Defined Contribution Pension Management with Jump Diffusions and Common Shock Dependence

open access: yesMathematics, 2023
This work deals with an optimal asset allocation problem for a defined contribution (DC) pension plan during its accumulation phase. The contribution rate is assumed to be proportional to the individual’s salary.
Wujun Lv, Linlin Tian, Xiaoyi Zhang
doaj   +1 more source

Optimal Consumption in a Stochastic Ramsey Model with Cobb-Douglas Production Function

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2013
A stochastic Ramsey model is studied with the Cobb-Douglas production function maximizing the expected discounted utility of consumption. We transformed the Hamilton-Jacobi-Bellman (HJB) equation associated with the stochastic Ramsey model so as to ...
Md. Azizul Baten, Anton Abdulbasah Kamil
doaj   +1 more source

An approximating method for the stabilizing solution of the Hamilton-Jacobi equation for integrable systems using Hamiltonian perturbation theory [PDF]

open access: yes, 2006
In this report, a method for approximating the stabilizing solution of the Hamilton-Jacobi equation for integrable systems is proposed using symplectic geometry and a Hamiltonian perturbation technique.
Sakamoto, N., Schaft, A.J. van der
core   +6 more sources

Horizontal gene transfer: numerical comparison between stochastic and deterministic approaches [PDF]

open access: yesESAIM: Proceedings and Surveys, 2020
Horizontal gene Transfer (HT) denotes the transmission of genetic material between two living organisms, while the vertical transmission refers to a DNA transfer from parents to their offspring.
Calvez Vincent   +5 more
doaj   +1 more source

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