Results 11 to 20 of about 1,447,206 (291)
Infinitely many periodic solutions for second order Hamiltonian systems [PDF]
, 2011 In this paper, we study the existence of infinitely many periodic solutions for second order Hamiltonian systems $\ddot{u}+\nabla_u V(t,u)=0$, where $V(t, u)$ is either asymptotically quadratic or superquadratic as $|u|\to \infty$.Comment: to appear in ...
Liu, Chungen, Zhang, Qingye
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Existence of periodic solutions for the periodically forced SIR model [PDF]
, 2013 We prove that the seasonally-forced SIR model with a T-periodic forcing has a periodic solution with period T whenever the basic reproductive number R0>1. The proof uses the Leray-Schauder degree theory.
Katriel, Guy
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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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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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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 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 nonlinear second-order difference equations
Advances in Difference Equations, 2005 We establish conditions for the existence of periodic solutions of nonlinear, second-order difference equations of the form y(t+2)+by(t+1)+cy(t)=f(y(t)), where c≠0 and f:â„Â→℠is continuous.
Debra Lynn Etheridge +1 more
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New periodic orbits in the solar sail three-body problem [PDF]
, 2011 We identify displaced periodic orbits in the circular restricted three-body problem, wher the third (small) body is a solar sail. In particular, we consider solar sail orbits in the earth-sun system which are high above the exliptic plane.
C.R. McInnes +7 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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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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