Results 21 to 30 of about 14,599 (223)
On the solution of the convolution equation with a sum-difference kernel
The paper deals with the integral equations of the second kind with a sumdifference kernel. These equations describe a series of physical processes in a medium with a reflective boundary.
Ani G Barseghyan
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Algebraic theory of quantum synchronization and limit cycles under dissipation
Synchronization is a phenomenon where interacting particles lock their motion and display non-trivial dynamics. Despite intense efforts studying synchronization in systems without clear classical limits, no comprehensive theory has been found. We develop
Berislav Buca, Cameron Booker, Dieter Jaksch
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Thermodynamic perturbation theory and equation of state developments
An alternative way of utilizing the thermodynamic perturbation theory of Wertheim for the development of equations of state for associating fluid models is presented and detailed for water.
I. Nezbeda
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This study investigates the types and underlying causes of students’ errors when evaluating non-routine algebraic problems that present procedurally plausible but logically invalid solution steps.
Anugrah Tegar Putra Farabibah +1 more
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This paper presents the introduction of two novel equation types: the partial hesitant fuzzy equation and the half hesitant fuzzy equation. Additionally, an efficient method is proposed to solve these equations by defining four solution categories ...
Fatemeh Babakordi +1 more
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Simple Equations Method and Non-Linear Differential Equations with Non-Polynomial Non-Linearity
We discuss the application of the Simple Equations Method (SEsM) for obtaining exact solutions of non-linear differential equations to several cases of equations containing non-polynomial non-linearity. The main idea of the study is to use an appropriate
Nikolay K. Vitanov +1 more
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This article proposes a convergent adaptive observer for a damped wave PDE and an infinite‐dimensional ODE coupled in cascade using sampled‐in‐space ODE state measurements. The proposed observer estimates the distributed states of the PDE and ODE along with unknown PDE parameters and spatial input.
Zehor Belkhatir +2 more
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A new formulation for the non-dimensional dynamic influence function method, which was developed by the authors, is proposed to efficiently extract eigenvalues and mode shapes of clamped plates with arbitrary shapes.
Sang-Wook Kang, Satya N Atluri
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Observer‐Based Adaptive Event‐Triggered Tracking Control for Fuzzy TS Systems With Premise Mismatch
This paper presents an adaptive logistic event‐triggered observer‐based tracking controller for Takagi‐Sugeno fuzzy systems under constrained inputs and network delays. Leveraging a hybrid LMI and Secretary Bird Optimization approach, this strategy significantly minimizes communication overhead and computational burden while ensuring optimal reference ...
Oussama Djadane +3 more
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Canonical transformations of linear Hamiltonian systems [PDF]
In this paper we consider the linear Hamiltonian systems of differential equations. We explore the normalization of a non-singular Hamiltonian matrix. We solve a system of matrix equations to find the generating function of the canonical transformation ...
Titova Tatiana
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