Results 41 to 50 of about 16,140 (179)
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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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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Poincare ball embeddings of the optical geometry
, 2002 It is shown that optical geometry of the Reissner-Nordstrom exterior metric can be embedded in a hyperbolic space all the way down to its outer horizon. The adopted embedding procedure removes a breakdown of flat-space embeddings which occurs outside the
Abramowicz M A +15 more
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Advanced Science, EarlyView.This work demonstrates a receiver‐transmitter‐integrated metasurface that decomposes an incident wave into orthogonal components and routes them into separate channels. Inspired by a “Wheel‐of‐Fortune” mechanism, it enables independent control over the amplitude, phase, and polarization of the transmitted wave.
Tong Liu +8 more
wiley +1 more source
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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Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone +3 more
wiley +1 more source
Synchronization theory of microwave induced zero-resistance states
, 2013 We develop the synchronization theory of microwave induced zero-resistance states (ZRS) for two-dimensional electron gas in a magnetic field. In this theory the dissipative effects lead to synchronization of cyclotron phase with driving microwave phase ...
Chepelianskii, A. D. +2 more
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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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Formulation Of Quantum Mechanics On Poincaré Disks
, 2021 The unexploited unification of general relativity and quantum mechanics (QM) prevents the proper understanding of the micro- and macroscopic world. Here we put forward a mathematical approach that introduces the problem in terms of negative curvature manifolds.
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Nonlinear Analysis: Real World Applications, 2023 We consider the Neumann--Poincaré operator on a planar domain enclosed by two touching circular boundaries. This domain, which is a crescent-shaped domain or touching disks, has a cusp at the touching point of two circles. We analyze the operator via the Fourier transform on the boundary circles of the domain.
Younghoon Jung, Mikyoung Lim
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