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Relaxation to Fixed Points in the Logistic and Cubic Maps: Analytical and Numerical Investigation
Convergence to a period one fixed point is investigated for both logistic and cubic maps. For the logistic map the relaxation to the fixed point is considered near a transcritical bifurcation while for the cubic map it is near a pitchfork bifurcation. We
Edson D. Leonel +2 more
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On Complex Oscillation Property of Solutions for Higher-Order Periodic Differential Equations
We investigate properties of the zeros of solutions for higher-order periodic differential equations, and prove that under certain hypotheses, the convergence exponent of zeros of the product of two linearly independent solutions is infinite.
Shi-An Gao, Zong-Xuan Chen
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Asymptotic Analysis of Low Energy Extremals with Γ-Convergence in Variable Exponent Lebesgue Spaces
In many physical models, internal energy will run out without external energy sources. Therefore, finding optimal energy sources and studying their behavior are essential issues.
Adil Siddique +3 more
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Convergence exponent of Pierce expansion digit sequences [PDF]
In this paper, we investigate the convergence exponent of Pierce expansion digit sequences. We explore some basic properties of the convergence exponent as a real-valued function defined on the closed unit interval, as well as those of the level sets of ...
Ahn, Min Woong
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General Bahr-Esseen inequalities and their applications
We study the Bahr-Esseen inequality. We show that the Bahr-Esseen inequality holds with exponent p if it holds with exponent q > p $q>p$ for the truncated and centered random variables.
István Fazekas, Sándor Pecsora
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Published usually four times per year in the interest of the students of the University of Dayton. Contents include short stories, articles, essays, editorials, poems, plays, histories, and other creative works.https://ecommons.udayton.edu/exponent/1475 ...
University of Dayton Exponent
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Published usually four times per year in the interest of the students of the University of Dayton. Contents include short stories, articles, essays, editorials, poems, plays, histories, and other creative works.https://ecommons.udayton.edu/exponent/1446 ...
University of Dayton Exponent
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Convergence groups, Hausdorff dimension, and a Theorem of Sullivan and Tukia
We show that a discrete, quasiconformal group preserving Hopf n has the property that its exponent of convergence and the Hausdorff dimension of its limit set detect the existence of a non-empty regular set on the sphere at infinity to Hopf n.
Taylor, E.C. +2 more
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Calculus of the Exponent of Kurdyka–Łojasiewicz Inequality and Its Applications to Linear Convergence of First-Order Methods [PDF]
In this paper, we study the Kurdyka–Łojasiewicz (KL) exponent, an important quantity for analyzing the convergence rate of first-order methods. Specifically, we develop various calculus rules to deduce the KL exponent of new (possibly nonconvex and ...
Li, G ; https://orcid.org/ +4 more
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University of Dayton Exponent, April 1954 [PDF]
Published monthly, usually October through May, in the interest of the students of the University of Dayton. Contents include essays, editorials, poems, plays, histories, and other creative works.https://ecommons.udayton.edu/exponent/1432/thumbnail ...
University of Dayton Exponent
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