Results 31 to 40 of about 139,083 (290)

Jacobi rational–Gauss collocation method for Lane–Emden equations of astrophysical significance

Nonlinear Analysis, 2014
In this paper, a new spectral collocation method is applied to solve Lane–Emden equations on a semi-infinite domain. The method allows us to overcome difficulty in both the nonlinearity and the singularity inherent in such problems.
Eid H. Doha, Ali H. Bhrawy, Ramy M. Hafez, Robert A. Van Gorder   +3 more
doaj   +1 more source

Shifted Fractional-Order Jacobi Collocation Method for Solving Variable-Order Fractional Integro-Differential Equation with Weakly Singular Kernel

Fractal and Fractional, 2021
We propose a fractional-order shifted Jacobi–Gauss collocation method for variable-order fractional integro-differential equations with weakly singular kernel (VO-FIDE-WSK) subject to initial conditions.
Mohamed A. Abdelkawy, Ahmed Z. M. Amin, António M. Lopes, Ishak Hashim, Mohammed M. Babatin   +4 more
doaj   +1 more source

Teardrop and heart orbits of a swinging Atwood's Machine

, 1993
An exact solution is presented for a swinging Atwood's machine. This teardrop-heart orbit is constructed using Hamilton-Jacobi theory. The example nicely illustrates the utility of the Hamilton-Jacobi method for finding solutions to nonlinear mechanical ...
Tufillaro, Nicholas B.
core   +1 more source

Hamilton-Jacobi Method for Mechanical Systems on Time Scales

Complexity, 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 Triple-Catalytic, Fully Biogenic Synthesis of Cyclic Carbonates. [PDF]

ChemSusChem
A three‐step synthesis of cyclic carbonates from biogenic resources (fatty acids, O2, CO2) is reported. The process operates via a visible light‐mediated hydrocarbon oxidation, with an overall 100% atom‐economy, in the presence of easily accessible catalysts (porphyrin, VO(acac)2, pyridine) but without intermediate work‐up procedures.
Stuhr R, Liu L, Jacobi von Wangelin A.
europepmc   +2 more sources

Cosmological perturbations in FRW model with scalar field within Hamilton-Jacobi formalism and symplectic projector method

, 2006
The Hamilton-Jacobi analysis is applied to the dynamics of the scalar fluctuations about the Friedmann-Robertson-Walker (FRW). The gauge conditions are found from the consistency conditions.
B.M. Pimentel, B.M. Pimentel, B.M. Pimentel, C.M. Amaral, D. Baleanu, D. Baleanu, D. Baleanu, D. Baleanu, G.V. Lavrelashvili, H. Cicco De, J. Garriga, L.R.U. Manssur, M.A. Andrade De, P. Pitanga, P.A.M. Dirac, S.I. Muslih, V.F. Mukhanov   +16 more
core   +2 more sources

A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems

International Journal of Adaptive Control and Signal Processing, Volume 39, Issue 3, Page 566-581, March 2025.
A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam, Anthony Siming Chen, Guido Herrmann   +2 more
wiley   +1 more source

Application of Jacobi stability analysis to a first-order dynamical system: relation between nonlinearizability of one-dimensional differential equation and Jacobi stable region

Journal of Physics Communications
In this study, we discuss Jacobi stability in equilibrium and nonequilibrium regions for a first-order one-dimensional system using deviation curvatures.
Yuma Hirakui, Takahiro Yajima
doaj   +1 more source

On Generalizations of Jacobi–Jordan Algebras

Axioms
In this paper, we present some generalizations of Jacobi–Jordan algebras. More concretely, we will focus on noncommutative Jacobi–Jordan algebras, Malcev–Jordan algebras, and general Jacobi–Jordan algebras.
Hani Abdelwahab, Naglaa Fathi Abdo, Elisabete Barreiro, José María Sánchez   +3 more
doaj   +1 more source

Design and Prototyping of Topology‐Optimized, Additively Manufactured Lightweight Components for Space Robotic Systems: A Case Study

Advanced Engineering Materials, EarlyView.
The results demonstrate a simulation‐driven workflow that applies LSB topology optimization with additive manufacturing constraints to mission‐specific load cases, integrating European Cooperation for Space Standardization compliant verification and manufacturability to develop structurally efficient rover suspension components.
Stelios K. Georgantzinos, Grigorios Kostopoulos, Eleni Papadopoulou, Stefanos Voulgaris, Alexandra Tseni, Panteleimon Bakalis, Maria N. Gkara, Chara Ch. Mitropoulou, Georgios Kazakis, Alin Munteanu, Jeremi Gancet, Nikos D. Lagaros   +11 more
wiley   +1 more source