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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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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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 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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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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Higher order topological insulator via periodic driving [PDF]
Physical Review B, 2020 This is the published ...
Arnob Kumar Ghosh +2 more
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On positive periodic solutions of second order singular equations
Boundary Value Problems, 2018 Using the fixed point theorem, we study the existence and multiplicity of positive periodic solutions for the second order differential equations {x¨+a(t)x=f(x),x(0)=x(T),x˙(0)=x˙(T). $$\begin{aligned} \textstyle\begin{cases} \ddot{x}+a(t) x=f(x),\\ x(0)=
Yunhai Wang, Yuanfang Ru
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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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From the Fibonacci Icosagrid to E8 (Part II): The Composite Mapping of the Cores
CrystalsThis paper is part of a series that describes the Fibonacci icosagrid quasicrystal (FIG) and its relation to the E8 root lattice. The FIG was originally constructed to represent the intersection points of an icosahedrally symmetric collection of planar ...
Richard Clawson, Fang Fang, Klee Irwin
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Periodic perturbations of reducible scalar second order functional differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2023 Using a topological approach we investigate the structure of the set of forced oscillations of a class of reducible second order functional retarded differential equations subject to periodic forcing.
Alessandro Calamai +2 more
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