Results 11 to 20 of about 75,442 (259)
The Formal Inverse of the Period-Doubling Sequence [PDF]
CoRR, 2018 If $p$ is a prime number, consider a $p$-automatic sequence $(u_n)_{n\ge 0}$, and let $U(X) = \sum_{n\ge 0} u_n X^n \in \mathbb{F}_p[[X]]$ be its generating function. Assume that there exists a formal power series $V(X) = \sum_{n\ge 0} v_n X^n \in \mathbb{F}_p[[X]]$ which is the compositional inverse of $U$, i.e., $U(V(X))=X=V(U(X))$.
Rampersad, Narad, Stipulanti, Manon
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On the automaticity of sequences defined by the Thue–Morse and period-doubling Stieltjes continued fractions [PDF]
International Journal of Number Theory, 2020 Continued fraction expansions of automatic numbers have been extensively studied during the last few decades. The research interests are, on one hand, in the degree or automaticity of the partial quotients following the seminal paper of Baum and Sweet in 1976, and on the other hand, in calculating the Hankel determinants and irrationality exponents, as
Yining Hu, Guoniu Wei-Han
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Sequence of Routes to Chaos in a Lorenz-Type System
Discrete Dynamics in Nature and Society, 2020 This paper reports a new bifurcation pattern observed in a Lorenz-type system. The pattern is composed of a main bifurcation route to chaos (n=1) and a sequence of sub-bifurcation routes with n=3,4,5,…,14 isolated sub-branches to chaos.
Fangyan Yang +3 more
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Nonlinear Dynamics and Chaos in Conformational Changes of Mechanical Metamaterials
Physical Review X, 2022 From enzyme binding to robot grasping, the function of many mechanical systems depends upon large, coordinated motions of their components. Such motions arise from a network of physical interactions in the form of links (edges) that transmit forces ...
Jason Z. Kim +3 more
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A SO2 flux study of the Etna volcano 2020–2021 paroxysmal sequences
Frontiers in Earth Science, 2023 The persistent open-vent degassing of Mt. Etna is often punctuated by months-long paroxysmal sequences characterized by episodes of violent Strombolian to lava fountaining activity.
Alessandro Aiuppa +7 more
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The analogue of overlap-freeness for the period-doubling sequence
CoRR, 2023 Good words are binary words avoiding factors 11 and 1001, and patterns 0000 and 00010100. We show that good words bear the same relationship to the period-doubling sequence that overlap-free words bear to the Thue-Morse sequence. We prove an analogue of Fife's Theorem for good words, exhibit the lexicographically least and greatest infinite good words,
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SSM: Population Health, 2022 Background: Since the 1990's, structural transformations in the Norwegian economy have decreased employment opportunities for low-skilled young people lacking formal education credentials.
Sina Wittlund +2 more
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Pharmaceutics, 2021 Currently approved formulations of the androgen synthesis inhibitor abiraterone acetate (AA) consist of multiple tablets administered daily in a fasted state.
Tamás Jordán +15 more
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A New Feigenbaum-Like Chaotic 3D System
Discrete Dynamics in Nature and Society, 2014 Based on Sprott N system, a new three-dimensional autonomous system is reported. It is demonstrated to be chaotic in the sense of having positive largest Lyapunov exponent and fractional dimension. To further understand the complex dynamics of the system,
Huitao Zhao, Yiping Lin, Yunxian Dai
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Quantifying the Nonlinear Dynamic Behavior of the DC-DC Converter via Permutation Entropy
Energies, 2018 Quantifying nonlinear dynamic behaviors, such as bifurcation and chaos, in nonlinear systems are currently being investigated. In this paper, permutation entropy is used to characterize these complex phenomena in nonlinear direct current-direct current ...
Zhenxiong Luo +3 more
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