Exploring highly dispersive optical solitons and modulation instability in nonlinear Schrödinger equations with nonlocal self phase modulation and polarization dispersion. [PDF]
Hasan WM +4 more
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Advances and Perspectives in Graphene‐Based Quantum Dots Enabled Neuromorphic Devices
Graphene‐based QDs are zero‐dimensional carbon nanomaterials with pronounced quantum confinement and tunable electronic structures. Herein, we summarize their synthesis strategies and functionalization methods, and highlight their functional roles and operating mechanisms in devices, as well as recent advances in neuromorphic electronics. We anticipate
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Robust wavefront correction using AdamW-enhanced SPGD for computational adaptive optics in optical coherence tomography. [PDF]
You J +5 more
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Optical soliton perturbation with complex ginzburg-landau equation having multiplicative white noise and nine forms of self-phase modulation structures. [PDF]
Zayed EME +8 more
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Space-time variable-order fractional analysis of nonlinear longitudinal wave propagation in magneto-electro-elastic materials. [PDF]
Khan MA +4 more
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Amplified response of cavity-coupled quantum-critical systems. [PDF]
Sur S +4 more
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Scouter predicts transcriptional responses to genetic perturbations with large language model embeddings. [PDF]
Zhu O, Li J.
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Routing Functions for Parameter Space Decomposition to Describe Stability Landscapes of Ecological Models. [PDF]
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Singular Perturbations of Bifurcations
SIAM Journal on Applied Mathematics, 1977An asymptotic theory is presented to analyze perturbations of bifurcations of the solutions of nonlinear problems. The perturbations may result from imperfections, impurities, or other inhomogeneities in the corresponding physical problem. It is shown that for a wide class of problems the perturbations are singular.
Matkowsky, Bernard J., Reiss, Edward L.
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SINGULAR PERTURBATION AND INTERPOLATION
Mathematical Models and Methods in Applied Sciences, 1994It is well known that the rate of convergence of the solution uε of a singular perturbed problem to the solution u of the unperturbed equation can be measured in terms of the “smoothness” of u; smoothness which, in turn, can be expressed in terms of linear interpolation theory.
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