Results 21 to 30 of about 103,423 (272)
Aerospace, 2022 We investigate the topological types and bifurcations of periodic orbits in the gravitational field of irregular bodies by the well-known two parameter analysis method.
Yongjie Liu, Yu Jiang, Hengnian Li
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High-Precision Continuation of Periodic Orbits
Abstract and Applied Analysis, 2012 Obtaining periodic orbits of dynamical systems is the main source of information about how the orbits, in general, are organized. In this paper, we extend classical continuation algorithms in order to be able to obtain families of periodic orbits with ...
Ángeles Dena +3 more
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Mathematics, 2020 In this work, we solve the problem of the coexistence of periodic orbits in homogeneous Boolean graph dynamical systems that are induced by a maxterm or a minterm (Boolean) function, with a direct underlying dependency graph.
Juan A. Aledo +3 more
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Centre Bifurcations for a Three Dimensional System with Quadratic Terms
Zanco Journal of Pure and Applied Sciences, 2020 This article is devoted to study the bifurcated periodic orbits from centre for a differential equation of third order. Sufficient conditions for the existence of a centre are obtained by using inverse Jacobi multiplier.
Rizgar H. Salih +2 more
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Numerical Investigation for Periodic Orbits in the Hill Three-Body Problem
Universe, 2020 The current work performs a numerical study on periodic motions of the Hill three-body problem. In particular, by computing the stability of its basic planar families we determine vertical self-resonant (VSR) periodic orbits at which families of three ...
Vassilis S. Kalantonis
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Analysis of Periodic Orbits about the Triangular Solutions of the Restricted Sum-Jupiter and Earth-Moon Problem [PDF]
Journal of Astronomy and Space Sciences, 1988 Using the numerical solution in the plane restricted problem of three bodies, about 490 periodic orbits are computed numerically around the L5 of Sun-Jupiter and about 1600 periodic orbits also be done around the L5 of Earth-Moon system.
Sang-Young Park +3 more
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On the Zero-Hopf Bifurcation of the Lotka–Volterra Systems in
Mathematics, 2020 Here we study 3-dimensional Lotka–Volterra systems. It is known that some of these differential systems can have at least four periodic orbits bifurcating from one of their equilibrium points.
Maoan Han, Jaume Llibre, Yun Tian
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Bifurcation of big periodic orbits through symmetric homoclinics, application to Duffing equation [PDF]
Journal of Mahani Mathematical Research, 2023 We consider a planar symmetric vector field that undergoes a homoclinic bifurcation. In order to study the existence of exterior periodic solutions of the vector field around broken symmetric homoclinic orbits, we investigate the existence of fixed ...
Liela Soleimani, Omid RabieiMotlagh
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On periodic orbits in discrete-time cascade systems
Discrete Dynamics in Nature and Society, 2006 We present some results on existence, minimum period, number of periodic orbits, and stability of periodic orbits in discrete-time cascade systems. Some examples are presented to illustrate these results.
Huimin Li, Xiao-Song Yang
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Bifurcations of Nontwisted Heteroclinic Loop with Resonant Eigenvalues
The Scientific World Journal, 2014 By using the foundational solutions of the linear variational equation of the unperturbed system along the heteroclinic orbits to establish the local coordinate systems in the small tubular neighborhoods of the heteroclinic orbits, we study the ...
Yinlai Jin +5 more
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