Results 241 to 250 of about 25,399 (257)

Numerical analysis of periodic solutions and bifurcations in the planetary annulus problem

Applied Mathematics and Computation, 2013
This paper discusses the dynamics of particles orbiting planetary rings under a general central potential. Starting with the mathematical description of the dynamical system, we analyze the motion of a particle with infinitesimal mass as attracted by a central body surrounded by a homogeneous circular annular disk.
Eva Tresaco, Andrés Riaguas, Antonio Elipe   +2 more
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BIFURCATION OF LIMIT CYCLES BY PERTURBING A PERIODIC ANNULUS WITH MULTIPLE CRITICAL POINTS

International Journal of Bifurcation and Chaos, 2013
In this paper, we consider the planar system ẋ = -yF(x, y) + εP(x, y), ẏ = xF(x, y) + εQ(x, y), where the set {F(x, y) = 0} consists of m nonzero points (ai, bi)(i = 1, …, m) with multiple multiplicities, P(x, y) and Q(x, y) are arbitrary real polynomials. We study the number of limit cycles bifurcating from the periodic annulus surrounding the origin
GUIFENG CHANG, MAOAN HAN
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CYCLICITY OF PERIOD ANNULUS OF A QUADRATIC REVERSIBLE SYSTEM WITH DEGENERATE CRITICAL POINT

International Journal of Bifurcation and Chaos, 2013
This paper is concerned with the bifurcation of limit cycles from the period annulus of a quadratic reversible system. The outer boundary of the period annulus contains a degenerate critical point. The exact upper bound of the number of limit cycles is given. Our result shows that the conjecture on the cyclicity of (r4) system is correct.
Haihua Liang, Jianfeng Huang 0004
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Periodic Rotating Waves in an Undulating Annulus and Their Homogenization Limit

SIAM Journal on Mathematical Analysis, 2006
We study a mean curvature flow equation in an annulus with periodically undulating boundaries and consider the homogenization limit problem as the period of the boundary undulation tends to zero. We first establish a necessary and sufficient condition for the existence of periodic rotating waves.
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Dynamics of annulus maps III: periodic points and completeness

Nonlinearity, 2016
Consider a continuous surjective self map of the open annulus with degree d > 1. It is proved that the number of Nielsen classes of periodic points is the maximum possible whenever f has a completely invariant essential continuum. The same result is obtained in negative degree and for just forward invariant essential continua, provided that the ...
J Iglesias, A Portela, A Rovella, J Xavier   +3 more
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Knotted periodic orbits in suspensions of annulus maps

Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 1987
Abstract We consider a class of suspensions of diffeomorphisms of the annulus as flows in the orientable 3-manifold T2 x I. Using results of Birman & Williams (Topology 22, 47‒82 (1983); Contemp. Math. 20, 1‒60 (1983)), we construct a knotholder or template that carries the set of periodic orbits of the flow.
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The cyclicity of the period annulus around the quadratic isochronous center

Wuhan University Journal of Natural Sciences, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Shihua, Feng, Jianwen, Zeng, Xianwu   +2 more
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Limit Cycles Bifurcating from the Period Annulus of Quasi-Homogeneous Centers

Journal of Dynamics and Differential Equations, 2008
The paper deals with the weakened 16th Hilbert's problem. It contains upper bounds for the maximum number of limit cycles bifurcating from the period annulus of any homogeneous and quasi-homogeneous center of the perturbed Hamiltonian system \[ \dot{x}=-\frac{\partial H}{\partial y} + \varepsilon P, \;\dot{y}=\frac{\partial H}{\partial x} + \varepsilon
Li, Weigu, Llibre, Jaume, Yang, Jiazhong, Zhang, Zhifen   +3 more
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HEAT TRANSFER AND FLUID FLOW CHARACTERISTICS FOR AN ANNULUS OF PERIODICALLY VARYING CROSS SECTION

Numerical Heat Transfer, 1984
Solutions for the periodic fully developed regime in an annulus of axially varying cross section were obtained numerically. The annular duct considered here has streamwise-periodic variations of the cross-sectional area, and its dimensions were those of an actual double-pipe heat exchanger (a reflux condenser).
Prata, A. T., Sparrow, E. M.
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Convection in a Horizontal Porous Annulus with Quasi-Periodic Gravitational Modulation

2019
This chapter investigates the convective instability in a horizontal porous annulus subjected to quasi-periodic (QP) gravitational modulation having two incommensurate frequencies. The porous matrix is supposed to be filled by an incompressible fluid.
Jabrane Belabid, Karam Allali, Mohamed Belhaq   +2 more
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