Results 21 to 30 of about 9,926,750 (356)
Second order homogenization of quasi-periodic structures
Vietnam Journal of Mechanics, 2018 The paper develops a general framework to derive the effective properties of quasi-periodic elastic medium. By using the asymptotic expansion method, the solution is expanded to the second order by solving a sequence of minimization problems.
Duc Trung Le, Jean-Jacques Marigo
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Gauss periods: orders and cryptographical applications [PDF]
Mathematics of Computation, 1998 Experimental results on the multiplicative orders of Gauss periods in finite fields are presented. These results indicate that Gauss periods have high order and are often primitive (self-dual) normal elements in finite fields. It is shown that Gauss periods can be exponentiated in quadratic time.
Gao, Shuhong +2 more
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First order impulsive differential inclusions with periodic conditions
Electronic Journal of Qualitative Theory of Differential Equations, 2008 In this paper, we present an impulsive version of Filippov's Theorem for the first-order nonresonance impulsive differential inclusion $$ \begin{array}{rlll} y'(t)-\lambda y(t) &\in& F(t,y(t)), &\hbox{ a.e. } \, t\in J\backslash \{t_{1},\ldots,t_{m}\},\\
John Graef, Abdelghani Ouahab
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Multiple periodic solutions of nonlinear second order differential equations
AIMS Mathematics, 2023 In this paper, we are interested in the existence of multiple nontrivial $ T $-periodic solutions of the nonlinear second ordinary differential equation $ \ddot{x}+V_x(t, x) = 0 $ in $ N(\geq 1) $ dimensions.
Keqiang Li, Shangjiu Wang
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Periodic unique beta-expansions: the Sharkovskiĭ ordering [PDF]
Ergodic Theory and Dynamical Systems, 2009 AbstractLetβ∈(1,2). Eachx∈[0,1/(β−1)] can be represented in the formwhere εk∈{0,1} for allk(aβ-expansion ofx). If$\beta >{(1+\sqrt 5)}/{2}$, then, as is well known, there always existx∈(0,1/(β−1)) which have a uniqueβ-expansion. We study (purely) periodic uniqueβ-expansions and show that for eachn≥2 there exists$\beta _n\in [{(1+\sqrt 5)}/{2},2)$
Allouche, Jean Paul +2 more
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Periodic solutions of second-order nonautonomous dynamical systems
Boundary Value Problems, 2006 We study the existence of periodic solutions for second-order nonautonomous dynamical systems. We give four sets of hypotheses which guarantee the existence of solutions.
Schechter Martin
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Essentially periodic ordered groups
Annals of Pure and Applied Logic, 2000 The authors introduce and study a number of notions extending that of an o-minimal group; i.e., they investigate totally ordered groups with certain restrictions on definable subsets. They also prove a number of interesting results relating the different notions. Some but not all of these notions are closed under elementary equivalence.
Point, Françoise, Wagner, Frank O.
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PERIODIC AND ALMOST-PERIODIC SOLUTIONS OF RECURRENT MULTIPLICATIVE SECOND-ORDER EQUATIONS
Современная наука и инновации, 2022 Solutions of the recurrent multiplicative equation of a special kind are considered. The values of the parameters of the equation are defined, for which the solutions are periodic, almost periodic or combine properties of a geometric progression and ...
Victor Grigorievich Rudenko +2 more
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Periodic perturbations of non-conservative second order differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2002 Consider the Lienard system $u''+f(u) u'+g(u)=0$ with an isolated periodic solution. This paper concerns the behavior of periodic solutions of Lienard system under small periodic perturbations.
R. A. Chouikha
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Discovering High-Order Periodic Patterns [PDF]
Knowledge and Information Systems, 2004 Discovery of periodic patterns in time series data has become an active research area with many applications. These patterns can be hierarchical in nature, where a higher-level pattern may consist of repetitions of lower-level patterns. Unfortunately, the presence of noise may prevent these higher-level patterns from being recognized in the sense that ...
Jiong Yang, Wei Wang, Philips S. YU
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