Results 11 to 20 of about 3,202,278 (248)
Relatively hyperbolic groups are C*-simple [PDF]
, 2006 We characterize relatively hyperbolic groups whose reduced C*-algebra is simple as those, which have no non-trivial finite normal ...
Arzhantseva, G. +5 more
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Geodesic excursions into cusps in finite-volume hyperbolic manifolds [PDF]
, 1993 18 pages, no figures.-- MSC1991 codes: Primary: 53C22; Secondary: 30F40, 58F17.MR#: MR1214056 (94d:53067)Zbl#: Zbl 0793.53052The main goal of the paper is to prove that, for a given non-compact hyperbolic $n$-manifold $M$ of finite volume, $p\in M$, and ...
Maria V. Melian +3 more
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Explicit limit cycles of a class of Kolmogorov system
Universal Journal of Mathematics and Applications, 2018 A class of Kolmogorov differential system is introduced. It is shown that under suitable assumptions on degrees and parameters, algebraic limit cycles can occur. we propose an easy algorithm to test the existence of limit cycles and we give them explicit
Salah Benyoucef, Ahmed Bendjeddou
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The visual core of a hyperbolic 3-manifold [PDF]
, 2001 In this note we introduce the notion of the visual core of a hyperbolic 3-manifold N, and explore some of its basic properties. We investigate circumstances under which the visual core V(N') of a cover N' of N embeds in N, via the usual covering map.
James W. Anderson +3 more
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Perturbation of a Period Annulus with a Unique Two-Saddle Cycle in Higher Order Hamiltonian
Complexity, 2019 In this paper, we study the number of limit cycles emerging from the period annulus by perturbing the Hamiltonian system x˙=y,y˙=x(x2-1)(x2+1)(x2+2). The period annulus has a heteroclinic cycle connecting two hyperbolic saddles as the outer boundary.
Hongying Zhu +3 more
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Quadratic systems with a symmetrical solution
Electronic Journal of Qualitative Theory of Differential Equations, 2018 In this paper we study the existence and uniqueness of limit cycles for so-called quadratic systems with a symmetrical solution: \begin{equation*} \begin{split} \frac{dx(t)}{dt}& = P_2(x,y) \equiv a_{00}+a_{10}x+a_{01}y+a_{20}x^2+a_{11}xy+a_{02}y^2 ...
Andre Zegeling, Robert Kooij
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Complex length and persistence of limit cycles in a neighborhood of a hyperbolic polycycle [PDF]
Publicacions Matemàtiques, 2014 Complex limit cycle located in a neighborhood of a hyperbolic polycycle can not vanish under a small deformation that preserves the characteristic values of the vertexes of the polycycle. The cycles either change holomorphically under the change of the parameter, or come to the boundary of the fixed neighborhood of the polycycle.
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Journal of Differential Equations, 2019 41 pages, 5 ...
Du, Nguyen H. +3 more
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Multiplicity of limit cycles that appear after perturbations of hyperbolic polycycles
, 2022 1 figure, 27 pages, in ...
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Applied Mathematics Letters, 2017 The paper focuses on the uniqueness and hyperbolicity of a limit cycle of the autonomous planar system with special structure \[ \dot{x}=p_2(y)q_2(x)y, \quad \dot{y}=p_3(y)q_3(x)x+p_4(y)q_4(x)y, \leqno(1) \] where \(p_i(y)\) and \(q_i(x)\) (\(i=2,3,4\)) are continious real functions defined on \(\mathbb{R}\).
Daoxiang Zhang, Yan Ping
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