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The Basin of Attraction in the Generalized Kapitsa Problem
Vestnik St. Petersburg University, Mathematics, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kulizhnikov, Dmitriĭ Borisovich +2 more
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Nondeterministic basin of attraction
Chaos, Solitons & Fractals, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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THE BASIN OF ATTRACTION OF A SPIN-ORBIT RESONANCE
International Journal of Bifurcation and Chaos, 1993In this paper we investigate the different behaviors of some satellites, subject to a spin-orbit interaction. In particular we compute, in the space of initial data, the basin of attraction of the 3:2 resonance for the Mercury–Sun and Moon–Earth coupling systems. The results are obtained either by direct integration of the equations of motion or by a
CELLETTI, ALESSANDRA +2 more
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Stochastic basins of attraction for metastable states
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2016Basin of attraction of a stable equilibrium point is an effective concept for stability analysis in deterministic systems; however, it does not contain information on the external perturbations that may affect it. Here we introduce the concept of stochastic basin of attraction (SBA) by incorporating a suitable probabilistic notion of basin.
Larissa Serdukova +3 more
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Intertwined basins of attraction of dynamical systems
Applied Mathematics and Computation, 2009The article deals with a modification of a notion of interwined attractors for the planar dynamical system \[ \dot x = X(x,y), \quad \dot y = Y(x,y). \] The authors say that the dynamical system (1.1) has interwined basins of attraction beside a point \(p\) if there exists a small sector \(S\), which \(p\) is the vertex, such that for any \(\epsilon ...
Li,G, Ding,CM, Chen,M
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Journal of Geometric Analysis, 1998
We prove the existence of infinitely many attracting basins for some holomorphic mappings in ℙ2. We also show that if a family of mappings has a complex generic homoclinic tangency, then some of the mappings in the family have an attractive periodic fixed point.
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We prove the existence of infinitely many attracting basins for some holomorphic mappings in ℙ2. We also show that if a family of mappings has a complex generic homoclinic tangency, then some of the mappings in the family have an attractive periodic fixed point.
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Non-Autonomous basins of attraction and their boundaries
Journal of Geometric Analysis, 2005A Fatou-Bierberbach (FB) domain is a proper subdomain of \(\mathbb{C}^2\) biholomorphic to \(\mathbb{C}^2\). A classical example is given by an attracting basin of an attractive fixed-point of an automorphism of \(\mathbb{C}^2\). Note that such a domain may be dense in \(\mathbb{C}^2\).
Peters, Han, Wold, Erlend Fornæss
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Attractors/Basin of Attraction
2020It is a controversial issue to decide who first coined the term “attractor”. According to Peter Tsatsanis, the editor of the English version of Predire n’est pas expliquer, it was Rene Thom who first introduced such a term. It is necessary, however, to remember that Thom thought that it was first introduced by the American mathematician Steven Smale ...
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Attracting Basins of Certain Nonholomorphic Maps
International Journal of Bifurcation and Chaos, 1998Attractive basins of a function [Formula: see text] are considered. The function Fc(z) is obtained by a perturbation of a "two-dimensional tent map" [Formula: see text]. We prove that the immediate attractive basins of the function F4/3(z) consist of six triangular regions which are subdivisions of a equilateral triangle by three medians.
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2009
Historically, simple models may have helped to lull some ecologists into thinking either that (i) models are useless because they do not reflect the natural world, or (ii) the natural world is highly predictable.1 Here we investigate how simple models can create unpredictable outcomes, in models of Lotka–Volterra competition, resource competition, and ...
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Historically, simple models may have helped to lull some ecologists into thinking either that (i) models are useless because they do not reflect the natural world, or (ii) the natural world is highly predictable.1 Here we investigate how simple models can create unpredictable outcomes, in models of Lotka–Volterra competition, resource competition, and ...
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