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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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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Summation of divergent series and Borel summability for strongly dissipative equations with periodic or quasi-periodic forcing terms [PDF]
, 2005 We consider a class of second order ordinary differential equations describing one-dimensional systems with a quasi-periodic analytic forcing term and in the presence of damping.
BARTUCCELLI M.V, DEANE, GENTILE G, J.H.B
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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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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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On the orders of periodic diffeomorphisms of 4-manifolds [PDF]
Duke Mathematical Journal, 2011 This paper initiated an investigation on the following question: Suppose a smooth 4-manifold does not admit any smooth circle actions. Does there exist a constant $C>0$ such that the manifold support no smooth $\Z_p$-actions of prime order for $p>C$?
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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.
Joachim von zur Gathen +2 more
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Periodic solutions of second order Hamiltonian systems bifurcating from infinity [PDF]
, 2006 The goal of this article is to study closed connected sets of periodic solutions, of autonomous second order Hamiltonian systems, emanating from infinity. The main idea is to apply the degree for SO(2)-equivariant gradient operators defined by the second
Adams +26 more
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From the Fibonacci Icosagrid to E8 (Part I): The Fibonacci Icosagrid, an H3 Quasicrystal
CrystalsThis paper introduces a new kind of quasicrystal by Fibonacci-spacing a multigrid of a certain symmetry, like H2, H3, T3, etc. Multigrids of a certain symmetry can be used to generate quasicrystals, but multigrid vertices are not a quasicrystal due to ...
Fang Fang, Klee Irwin
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High order analysis of nonlinear periodic differential equations
, 2003 In this letter we apply a method recently devised in \cite{aapla03} to find precise approximate solutions to a certain class of nonlinear differential equations.
Amore +9 more
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