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On periodic groups with prescribed orders of elements

Science in China Series A: Mathematics, 2009
The spectrum \(\varpi(G)\) of a periodic group \(G\) is the set of the orders of elements of \(G\). The paper under review is a survey on some results and open questions concerning the structure of groups with prescribed spectrum. It is a well-known fact that if \(\varpi(G)=\{1,2\}\) then \(G\) is an elementary Abelian \(2\)-group and if \(\varpi(G ...
Mazurov, Victor Danilovich, Shi, Wujie
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Period Doubling with Higher-Order Degeneracies

SIAM Journal on Mathematical Analysis, 1991
The authors consider a family of local diffeomorphisms \(G(x,\mu)\), \(G(x_ 0,\mu_ 0)=x_ 0\), where i) \(G: U\to\mathbb{R}^ n\), \(U\) is a neighbourhood of \((x_ 0,\mu_ 0)\) in \(\mathbb{R}^ n\times\mathbb{R}^ k\); ii) \(D_ x(x_ 0,\mu_ 0)\) has a single eigenvalue of \(-1\) and no other eigenvalues on the unit circle; iii) on its one-dimensional ...
Peckham, Bruce B.   +1 more
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On periodic groups with small orders of elements

Siberian Mathematical Journal, 2009
Summary: We prove that a group with the set of element orders equal to \(\{1,2,3,5,6\}\) is locally finite.
Mazurov, V. D., Mamontov, A. S.
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Interpenetrating Nets: Ordered, Periodic Entanglement

Angewandte Chemie International Edition, 1998
Independent one-, two-, and even three-dimensional nets interpenetrate each other in many solid-state structures of polymeric, hydrogen-bonded nets and coordination polymers. For example, the interpenetration of the adamantane units of two diamondlike nets is shown on the right.
Stuart R, Batten, Richard, Robson
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Periodic Phases in Second-Order Materials

Archive for Rational Mechanics and Analysis, 1998
The title of this paper is misleading because the notion of ``second-order'' materials is not uniquely accepted. Here the authors are in fact dealing with a material whose energy density depends not only on density and its first spatial gradients (like in some approaches to capillarity), but also on the second gradient of density. These would be called
Mizel, V. J.   +2 more
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Setting thresholds for periodic order release

Journal of Intelligent Manufacturing, 1997
In job shop manufacturing environments, controlling the release of work orders can significantly improve system performance, especially when a few bottleneck resources limit shop throughput. A periodic order release policy measures the remaining workload of the bottlenecks and releases just enough work orders to bring the workload to specified ...
Michael C. Fu 0001   +2 more
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Magnetic order in the periodic Anderson model

Physical Review B, 1993
We study the ground state of the symmetric, finite-U, periodic Anderson model using a mean-field slave-boson theory of the Kotliar-Ruckenstein type. At half filling (two electrons per site) we find a charge gap at all U>0 and a transition from the paramagnetic to an antiferromagnetically ordered (AF) state at a critical value of the on-site interaction
, Möller, , Wölfle
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A Higher-Order Period Function and Its Application

International Journal of Bifurcation and Chaos, 2015
This paper derives explicit formulas of the q th period bifurcation function for any perturbed isochronous system with a center, which improve and generalize the corresponding results in the literature. Based on these formulas to the perturbed quadratic and quintic rigidly isochronous centers, we prove that under any small homogeneous perturbations ...
Linping Peng   +2 more
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Almost-Periodic Higher Order Statistic Estimation

IEEE Transactions on Information Theory, 2011
In this paper, stochastic processes with higher order statistical functions decomposable into an almost-periodic function plus a residual term not containing finite-strength additive sinewave components are considered. These processes arise in mobile communications when almost-cyclostationary (ACS) processes pass through time-varying channels.
NAPOLITANO, ANTONIO, TESAURO M.
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Period doubling in maps with a maximum of order z

Physica A: Statistical Mechanics and its Applications, 1987
We consider the scaling behaviour in period-doubling systems, exemplified by the one-dimensional map \(x_{n+1}=1-\lambda | x_ n|^ z\), which has a maximum of order z \((z>1)\). The Feigenbaum scaling factors \(\alpha\) and \(\delta\) are studied as functions of z, and more generally the scaling functions 1/\(\sigma\) and f(a).
van der Weele, J. P.   +2 more
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