Semiconjugate Rational Functions: A Dynamical Approach
Sign Up to like & getrecommendations! Published in 2017 at "Arnold Mathematical Journal"
DOI: 10.1007/s40598-018-0081-6
Abstract: Using dynamical methods we give a new proof of the theorem saying that if A, B, X are rational functions of complex variable z of degree at least two such that $$A\circ X=X\circ B$$A∘X=X∘B and $${\mathbb C}(B,X)={\mathbb… read more here.
Keywords: rational functions; functions dynamical; semiconjugate rational; dynamical approach ... See more keywords
Dynamical approach in studying stability condition of exponential (GARCH) models
Sign Up to like & getrecommendations! Published in 2020 at "Journal of King Saud University - Science"
DOI: 10.1016/j.jksus.2018.04.028
Abstract: Abstract In this article our goal is to studying the stationary condition of EGARCH time series model which is proved by Nelson (1991) but what we did is to prove it with more simple and… read more here.
Keywords: dynamical approach; studying stability; approach studying; condition ... See more keywords
A second-order dynamical approach with variable damping to nonconvex smooth minimization
Sign Up to like & getrecommendations! Published in 2020 at "Applicable Analysis"
DOI: 10.1080/00036811.2018.1495330
Abstract: ABSTRACT We investigate a second-order dynamical system with variable damping in connection with the minimization of a nonconvex differentiable function. The dynamical system is formulated in the spirit of the differential equation which models Nesterov's… read more here.
Keywords: second order; dynamical approach; order dynamical; minimization ... See more keywords
An ecological-dynamical approach to golf science: implications for swing biomechanics, club design and customisation, and coaching practice.
Sign Up to like & getrecommendations! Published in 2022 at "Sports biomechanics"
DOI: 10.1080/14763141.2022.2067075
Abstract: It has previously been argued that science has only made a limited contribution to the sport of golf, particularly the human element. This lack of impact could, in part, be attributed to the absence of… read more here.
Keywords: science; dynamical approach; ecological dynamical; golf ... See more keywords
Dynamical approach to ancilla-assisted quantum thermometry
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DOI: 10.1103/physreva.98.042124
Abstract: A scheme for improving the sensitivity of quantum thermometry is proposed where the sensing quantum system used to recover the temperature of an external bath is dynamically coupled with an external ancilla (a meter) via… read more here.
Keywords: thermometry; ancilla assisted; dynamical approach; quantum thermometry ... See more keywords
On a Dynamical Approach to Some Prime Number Sequences
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DOI: 10.3390/e20020131
Abstract: We show how the cross-disciplinary transfer of techniques from dynamical systems theory to number theory can be a fruitful avenue for research. We illustrate this idea by exploring from a nonlinear and symbolic dynamics viewpoint… read more here.
Keywords: forbidden patterns; dynamical approach; number; number sequences ... See more keywords