Results 91 to 100 of about 166,810 (242)
Evolution of Periodic Orbits within the Frame of Formation Satellites
Advances in Astronomy, 2020 In the framework of formation satellites, the periodic orbits of deputy satellite are analyzed when the chief satellite is moving in an elliptical orbit. This analysis is developed on 1- to 10-loop periodic orbits of the deputy satellite.
Elbaz I. Abouelmagd +2 more
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Chaos and Shadowing Lemma for Autonomous Systems of Infinite Dimensions
, 2002 For finite-dimensional maps and periodic systems, Palmer rigorously proved Smale horseshoe theorem using shadowing lemma in 1988. For infinite-dimensional maps and periodic systems, such a proof was completed by Steinlein and Walther in 1990, and Henry ...
Li, Yanguang Charles
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Dynamical properties of maps derived from maps with strong negative Schwarzian derivative
International Journal of Mathematics and Mathematical Sciences, 1984 A strong Schwarzian derivative is defined, and it is shown that the convolution of a function with a map from an interval into itself having negative strong Schwarzian derivative is a function with negative Schwarzian derivative. Such convolutions have 0
Abraham Boyarsky
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On Periodic Orbits of Trapezoid Maps
Advances in Applied Mathematics, 1993 A trapezoid map on the unit interval is defined as follows: \(f(x) = ax\), for \(0 \leq x \leq b\), \(f(x) = ab\), for \(b\leq x \leq 1-b\), \(f(x) = a(1- x)\), for \(1-b \leq x \leq 1\), where \(a\), \(b\) are suitable parameters. For such maps: (1) Stable periodic orbits are characterized in terms of the kneading theory, (2) Regions of parameters ...
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Control by time delayed feedback near a Hopf bifurcation point
Electronic Journal of Qualitative Theory of Differential Equations, 2017 In this paper we study the stabilization of rotating waves using time delayed feedback control. It is our aim to put some recent results in a broader context by discussing two different methods to determine the stability of the target periodic orbit in ...
Sjoerd Verduyn Lunel, Babette de Wolff
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Fourier Series for the Periodic Orbits Around the Triangular Libration Points [PDF]
, 1935 Susanne S. Pedersen, Elis Strömgren
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ON PERIODIC ORBITS OF RELAXATION OSCILLATIONS [PDF]
Taiwanese Journal of Mathematics, 2002 Two nonlinear oscillators of relaxation type are studied, namely the singularly perturbed van der Pol oscillator and a Lotka-Volterra system. The aim of this work is to provide descriptions of periodic orbits governed by these equations in terms of two inverse functions of \(x \exp x\).
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Perturbed Li–Yorke homoclinic chaos
Electronic Journal of Qualitative Theory of Differential Equations, 2018 It is rigorously proved that a Li–Yorke chaotic perturbation of a system with a homoclinic orbit creates chaos along each periodic trajectory. The structure of the chaos is investigated, and the existence of infinitely many almost periodic orbits out of ...
Marat Akhmet +3 more
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On the Periodic Analytic Continuations of the Circular Orbits in the Restricted Problem of Three Bodies [PDF]
, 1936 Aurel Wintner
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