Results 31 to 40 of about 16,119 (189)
Phase portraits of Bernoulli quadratic polynomial differential systems
Electronic Journal of Differential Equations, 2020 In this article we study a new class of quadratic polynomial differential systems. We classify all global phase portraits in the Poincare disk of Bernoulli quadratic polynomial differential systems in R^2.
Jaume Llibre +2 more
doaj
On Painleve VI transcendents related to the Dirac operator on the hyperbolic disk
, 2007 Dirac hamiltonian on the Poincare disk in the presence of an Aharonov-Bohm flux and a uniform magnetic field admits a one-parameter family of self-adjoint extensions.
Abramowitz M. +3 more
core +4 more sources
Global surfaces of section for Reeb flows in dimension three and beyond
, 2020 We survey some recent developments in the quest for global surfaces of section for Reeb flows in dimension three using methods from Symplectic Topology.
Hryniewicz, Umberto L. +1 more
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Making Anti-de Sitter Black Holes [PDF]
, 1996 It is known from the work of Banados et al. that a space-time with event horizons (much like the Schwarzschild black hole) can be obtained from 2+1 dimensional anti-de Sitter space through a suitable identification of points.
+12 more
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The point charge oscillator: qualitative and analytical investigations
Mathematical Modelling and Analysis, 2019 We study the mathematical model of the point charge oscillator which has been derived by A. Beléndez et al. [2]. First we determine the global phase portrait of this model in the Poincaré disk.
Klaus R. Schneider
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Derivation of an eigenvalue probability density function relating to the Poincaré disk [PDF]
Journal of Physics A: Mathematical and Theoretical, 2009 A result of Zyczkowski and Sommers [J.Phys.A, 33, 2045--2057 (2000)] gives the eigenvalue probability density function for the top N x N sub-block of a Haar distributed matrix from U(N+n). In the case n \ge N, we rederive this result, starting from knowledge of the distribution of the sub-blocks, introducing the Schur decomposition, and integrating ...
Forrester, Peter J. +1 more
openaire +2 more sources
Projective geometry in the Poincar�� disk of a $C^*$-algebra
, 2018 We study the Poincar disk ${\cal D}=\{a\in {\cal A}: \|a\|<1\}$ of a C$^*$-algebra ${\cal A}$ from a projective point of view: ${\cal D}$ is regarded as an open subset of the projective line $\mathbb{P}_1{\cal A}$, the space of complemented rank one submodules of ${\cal A}^2$. We introduce the concept of cross ratio of four points in $\mathbb{P}_1{
Andruchow, Esteban +2 more
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Current Journal of Applied Science and Technology, 2022 Literature has shown that harmonically excited nonlinear Duffing and pendulum oscillators can respond chaotically under the influence of some of their drive parameters combination. However, literature is scarce on the steady state responses of these oscillators when excited arbitrarily and periodically.
Fatahi A. Musa +3 more
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Perturbative classical conformal blocks as Steiner trees on the hyperbolic disk
Journal of High Energy Physics, 2019 We consider the Steiner tree problem in hyperbolic geometry in the context of the AdS/CFT duality between large-c conformal blocks on the boundary and particle motions in the bulk.
Konstantin Alkalaev, Mikhail Pavlov
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Harmonic maps and constant mean curvature surfaces in $\H^2 \times \R$ [PDF]
, 2005 We introduce a hyperbolic Gauss map into the Poincare disk for any surface in H^2xR with regular vertical projection, and prove that if the surface has constant mean curvature H=1/2, this hyperbolic Gauss map is harmonic.
Fernandez, Isabel, Mira, Pablo
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