Periodic Orbits and Warps [PDF]
Orbit calculations were done in a rotating triaxial system with a density distribution in accordance with recent observations of spiral galaxies. A search was made for simple closed orbits which are tilted with respect to the plane of the galaxy. A family of stable prograde tilted orbits was found which can explain warps as stationary phenomena.
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Interaction of two systems with saddle-node bifurcations on invariant circles : I. Foundations and the mutualistic case [PDF]
The saddle-node bifurcation on an invariant circle (SNIC) is one of the codimension-one routes to creation or destruction of a periodic orbit in a continuous-time dynamical system.
MacKay, Robert S., Baesens, C.
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Measuring scars of periodic orbits
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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Piecewise expanding maps: combinatorics, dynamics and representation of rational numbers
We establish combinatorial properties of the dynamics of piecewise increasing, continuous, expanding maps of the interval such as description of periodic and pre-periodic points, primitiveness of truncated itineraries and length of ...
Serpa Cristina, Buescu Jorge
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Periodic and homoclinic orbits in a toy climate model [PDF]
A two dimensional system of autonomous nonlinear ordinary differential equations models glacier growth and temperature changes on an idealized planet.
M. Toner, A. D. Kirwan, Jr.
doaj
Cylindrical Manifolds and Tube Dynamics in the Restricted Three-Body Problem [PDF]
Within the phase space of the planar circular restricted three-body problem, stable and unstable manifolds of periodic orbits with a S x R (cylindrical) geometry are shown to exist.
Ross, Shane David
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Bifurcations of Nontwisted Heteroclinic Loop with Resonant Eigenvalues
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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A Lycaon pictus impulsive state feedback control model with Allee effect and continuous time delay
Allee effect (i.e. sparse effect) is active when the population density is small. Our purpose is to study such an effect of this phenomenon on population dynamics.
Yaning Li, Huidong Cheng, Yanhui Wang
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Unstable periodic motion in turbulent flows [PDF]
Recently found unstable time-periodic solutions to the incompressible Navier-Stokes equation are reviewed to discuss their relevance to plane Couette turbulence and isotropic turbulence.
G. Kawahara, S. Kida, L. van Veen
doaj
Characterizing receiver clock behaviors onboard Low Earth Orbiters: A case study of GRACE satellites
Accurate estimation of clocks, for example for the Gravity Recovery And Climate Experiment (GRACE) twin-satellites, is a critical part of precise orbit determination (POD) that ensures temporal gravity inversion. Characterizing the periodic variations of
Tzu-Pang Tseng, C.K. Shum, Ting-Yi Yang
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