LAUSR

Shapes of Regular Curves Defined by Hyperbolic Functions

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0 Published in 2024 at "Wuhan University Journal of Natural Sciences"

DOI: 10.1051/wujns/2024296495

Abstract: This article discusses the shapes of a class of regular curves defined by hyperbolic functions. We first make a preliminary judgment using its torsion and then get more precise descriptions using its curvature and algebraic… read more here.

Keywords: shapes regular; regular curves; defined hyperbolic; hyperbolic functions ... See more keywords

Design of General Flux-Controlled and Charge-Controlled Memristor Emulators Based on Hyperbolic Functions

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1 Published in 2023 at "IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems"

DOI: 10.1109/tcad.2022.3186928

Abstract: In this article, a general memristor model emulator based on the hyperbolic function is proposed. Based on the mathematical model of hyperbolic function memristor, a general circuit model emulator is designed. The general circuit can… read more here.

Keywords: charge controlled; hyperbolic function; model; memristor ... See more keywords

Some Transcendental Equations with Trigonometric and Hyperbolic Functions

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0 Published in 2018 at "Lobachevskii Journal of Mathematics"

DOI: 10.1134/s1995080218020130

Abstract: Eigenvalues of many spectral problems for differential equations are the roots of transcendental equations. In this article we prove the statements about the roots of some equations with trigonometric and hyperbolic functions. These equations have… read more here.

Keywords: transcendental equations; hyperbolic functions; equations trigonometric; trigonometric hyperbolic ... See more keywords

EXACT PEAKON SOLUTIONS GIVEN BY THE GENERALIZED HYPERBOLIC FUNCTIONS FOR SOME NONLINEAR WAVE EQUATIONS

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0 Published in 2020 at "Journal of Applied Analysis and Computation"

DOI: 10.11948/20200139

Abstract: In 1993, Camassa and Holm drived a shallow water equation and found that this equation has a peakon solution with the form φ(ξ) = ce−|ξ|. In this paper, we show that three nonlinear wave systems… read more here.

Keywords: hyperbolic functions; peakon solutions; solutions given; generalized hyperbolic ... See more keywords

Bounds for Quotients of Inverse Trigonometric and Inverse Hyperbolic Functions

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1 Published in 2022 at "Axioms"

DOI: 10.3390/axioms11060262

Abstract: We establish new simple bounds for the quotients of inverse trigonometric and inverse hyperbolic functions such as sin−1xsinh−1x and tanh−1xtan−1x. The main results provide polynomial bounds using even quadratic functions and exponential bounds under the… read more here.

Keywords: trigonometric inverse; bounds quotients; inverse trigonometric; hyperbolic functions ... See more keywords