Results 111 to 120 of about 379,230 (325)
Ricci-Bourguignon soliton on three dimensional para-Sasakian manifold [PDF]
Journal of HyperstructuresIn the present paper we study Ricci-Bourguignon solitons on three dimensional para-Sasakian manifolds with potential vector field as a special vector field. We proved the conditions for such manifold to be isometric to hyperbolic space.
Yashaswini R, Nagaraja H.G.
doaj +1 more source
Advanced Materials Technologies, EarlyView.Recent efforts of memristor array‐based hardware neuromorphic computing are discussed for efficient application of VMM on‐chip level in terms of circuit integration and actual application of AI algorithms. The parallel data processing principle of VMM operation is briefly reviewed, and hardware VMM is presented including convolutional transformation ...
Jingon Jang, Sang‐gyun Gi
wiley +1 more source
Coxeter groups and hyperbolic manifolds [PDF]
Mathematische Annalen, 2004 The rich theory of Coxeter groups is used to provide an algebraic construction of finite volume hyperbolic n-manifolds. Combinatorial properties of finite images of these groups can be used to compute the volumes of the resulting manifolds. Three examples, in 4,5 and 6-dimensions, are given, each of very small volume, and in one case of smallest ...
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Illuminating Quantum Phenomena in 2D Materials: The Power of Optical Spectroscopy
Advanced Optical Materials, EarlyView.Atomically thin 2D materials host quantum tunnelling, plasmonic and excitonic phenomena driven by reduced dimensionality and strong many‐body interactions. This review links these effects to state‐of‐the‐art optical probes—NSOM, pump–probe, CARS, TRR, and optical frequency comb spectroscopy—highlighting how their ultrahigh spatial–temporal resolution ...
Yuhui Zhou +4 more
wiley +1 more source
Existence of conjugacies and stable manifolds via suspensions
Electronic Journal of Differential Equations, 2017 We obtain in a simpler manner versions of the Grobman-Hartman theorem and of the stable manifold theorem for a sequence of maps on a Banach space, which corresponds to consider a nonautonomous dynamics with discrete time.
Luis Barreira +2 more
doaj
Is the Ott-Antonsen manifold attracting?
Physical Review Research, 2020 The Kuramoto model is a paradigm for studying oscillator networks with the interplay between coupling tending towards synchronization and heterogeneity in the oscillator population driving away from synchrony.
Jan R. Engelbrecht, Renato Mirollo
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Measure-Expansive Homoclinic Classes for C1 Generic Flows
Mathematics, 2020 In this paper, we prove that for a generically C1 vector field X of a compact smooth manifold M, if a homoclinic class H(γ,X) which contains a hyperbolic closed orbit γ is measure expansive for X then H(γ,X) is hyperbolic.
Manseob Lee
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Ends of Hyperbolic 3-Manifolds [PDF]
Journal of the American Mathematical Society, 1993 Let N = H 3 / Γ N = {{\mathbf {H}}^3}/\Gamma be a hyperbolic 3 3 -manifold which is homeomorphic to the interior of a compact 3 3 -manifold.
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Generalized Heterodyne Interferometry in Kerr Materials
Advanced Photonics Research, EarlyView.Interferometry, combined with heterodyne detection, enables simultaneous measurement of light amplitude and phase. This work applies these methods to study nonlinear phase shifts from the optical Kerr effect during laser pulse propagation. Results show the nonlinear index is straightforward to retrieve at low phases, but at higher powers, pulse shape ...
Arnaud Rogemont +3 more
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Transformer Encoder–Decoder Framework for Nonlinear Pulse Evolution and Inverse Modeling
Advanced Photonics Research, EarlyView.Modeling nonlinear pulse evolution in optical systems is key to advancing photonic technologies. A transformer‐based encoder‐decoder framework is proposed for both forward and inverse modeling, applied to supercontinuum generation. This approach captures complex dynamics efficiently, outperforming traditional methods in speed.
Dinesh Kumar Murugan +2 more
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