Piecewise expanding maps: combinatorics, dynamics and representation of rational numbers
ESAIM: Proceedings and Surveys, 2014 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
doaj +1 more source
Periodic and homoclinic orbits in a toy climate model [PDF]
Nonlinear Processes in Geophysics, 1994 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
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
doaj +1 more source
A Lycaon pictus impulsive state feedback control model with Allee effect and continuous time delay
Advances in Difference Equations, 2018 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
doaj +1 more source
Unstable periodic motion in turbulent flows [PDF]
Nonlinear Processes in Geophysics, 2006 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
Geodesy and Geodynamics, 2019 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
doaj +1 more source
Periodic Patterns in Orbits of Certain Linear Cellular Automata [PDF]
Discrete Mathematics & Theoretical Computer Science, 2001 We discuss certain linear cellular automata whose cells take values in a finite field. We investigate the periodic behavior of the verticals of an orbit of the cellular automaton and establish that there exists, depending on the characteristic of the ...
André Barbé, Fritz Haeseler
doaj +1 more source
Poincaré Map for Discontinuous Fractional Differential Equations
Mathematics, 2022 We work with a perturbed fractional differential equation with discontinuous right-hand sides where a discontinuity function crosses a discontinuity boundary transversally.
Ivana Eliašová, Michal Fečkan
doaj +1 more source
Precessing and periodic motions around a black-bounce/traversable wormhole
European Physical Journal C: Particles and Fields, 2020 We investigate precessing and periodic geodesic motions of timelike particles around a black-bounce/traversable wormhole. After obtaining its semi-classic and relativistic periastron advance, we find a preliminary bound on the scale length of such a ...
Tian-Yi Zhou, Yi Xie
doaj +1 more source
Period-Multiplying Bifurcations in the Gravitational Field of Asteroids
AerospacePeriodic orbit families around asteroids serve as potential trajectories for space probes, mining facilities, and deep space stations. Bifurcations of these families provide additional candidate orbits for efficient trajectory design around asteroids ...
P. Rishi Krishna, Joel George Manathara
doaj +1 more source