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Heteroclinic Connections between Periodic Orbits in Planar Restricted Circular Three Body Problem - Part II [PDF]
, 2004 We present a method for proving the existence of symmetric periodic, heteroclinic or homoclinic orbits in dynamical systems with the reversing symmetry.
Wilczak, D., Zgliczynski, P.
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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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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 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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Mathematical Biosciences and Engineering, 2019 In this paper, we construct an inertial two-neuron system with a non-monotonic activation function. Theoretical analysis and numerical simulation are employed to illustrate the complex dynamics.
Zigen Song, Jian Xu, Bin Zhen
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The American Mathematical Monthly, 1920 Mode of access: Internet.
Moulton, Forest Ray, 1872-1952. +5 more
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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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On the bifurcation and continuation of periodic orbits in the three-body problem
, 2011 We consider the planar three body problem of planetary type and we study the generation and continuation of periodic orbits and mainly of asymmetric periodic orbits. Asymmetric orbits exist in the restricted circular three body problem only in particular
Antoniadou, K. I. +2 more
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Statistical properties of periodic orbits in 4-disk billiard system: pruning-proof property [PDF]
, 2005 Periodic orbit theory for classical hyperbolic system is very significant matter of how we can interpret spectral statistics in terms of semiclassical theory. Although pruning is significant and generic property for almost all hyperbolic systems, pruning-
Alekseev +67 more
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