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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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Measuring scars of periodic orbits
Physical Review E, 1999 The phenomenon of periodic orbit scarring of eigenstates of classically chaotic systems is attracting increasing attention. Scarring is one of the most important "corrections" to the ideal random eigenstates suggested by random matrix theory. This paper discusses measures of scars and in so doing also tries to clarify the concepts and effects of ...
Kaplan, L., Heller, E. J.
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Control-based continuation of unstable periodic orbits [PDF]
, 2009 Copyright © 2010 American Society of Mechanical Engineers (ASME)We present an experimental procedure to track periodic orbits through a fold (saddle-node) bifurcation and demonstrate it with a parametrically excited pendulum experiment where the tracking
Wagg, DJ +19 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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四川大学学报. 自然科学版, 2021 We investigate the crossing periodic orbits of a piecewise linear Lienard-like system with symmetric admissible foci. By reducing the system to a normal form with less parameters and constructing the Poincare maps for the left and right subsystems, we ...
LUO Yan-Hong, CHEN Xing-Wu
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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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Approximating the maximum ergodic average via periodic orbits [PDF]
, 2008 Let sigma: Sigma(A) -> Sigma(A) be a subshift of finite type, let M-sigma be the set of all sigma-invariant Borel probability measures on Sigma(A), and let f : Sigma(A) -> R be a Holder continuous observable.
Morris, Ian D., Collier, D.
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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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