Results 51 to 60 of about 5,152,512 (204)

Shot‐Based Quantum Encoding: A Data‐Loading Paradigm for Quantum Neural Networks

Advanced Computing, Volume 1, Issue 1, December 2026.
Shot‐based quantum encoding loads classical data without any encoding gates: a learned map turns each datum into a probability vector that dictates how many measurement shots start in each basis state, preparing a mixed state that a shallow variational circuit processes as a quantum perceptron layer.
Basil Kyriacou, Viktoria Patapovich, Maniraman Periyasamy, Alexey Melnikov   +3 more
wiley   +1 more source

The diagnostics and laser infrastructure at the Soft X‐ray Port of the European XFEL

Journal of Synchrotron Radiation, Volume 33, Issue 5, Page 1531-1541, September 2026.
The diagnostics and laser infrastructure of the Soft X‐ray Port (SXP) at the European X‐ray Free Electron Laser are presented.The diagnostics and laser infrastructure of the Soft X‐ray Port (SXP) at the European X‐ray Free Electron Laser are presented.
Patrik Grychtol, Vahagn Vardanyan, Pranav Bhardwaj, Michael Heber, David Doblas-Jimenez, Ekaterina Tikhodeeva, Serguei Molodtsov, Manuel Izquierdo   +7 more
wiley   +1 more source

Coexistence of Algebraic Limit Cycles and Small Limit Cycles of Two Classes of Near-Hamiltonian Systems with a Nilpotent Singular Point

Axioms
In this paper, two classes of near-Hamiltonian systems with a nilpotent center are considered: the coexistence of algebraic limit cycles and small limit cycles.
Huimei Liu, Meilan Cai, Feng Li
doaj   +1 more source

High-Order Melnikov Method for Time-Periodic Equations

Advanced Nonlinear Studies, 2017
This paper discusses a high-order Melnikov method for periodically perturbed equations. We introduce a new method to compute Mk⁢(t0){M_{k}(t_{0})} for all k≥0{k\geq 0}, among which M0⁢(t0){M_{0}(t_{0})} is the traditional Melnikov function, and M1⁢(t0 ...
Chen Fengjuan, Wang Qiudong
doaj   +1 more source

Nine Limit Cycles in a 5-Degree Polynomials Liénard System

Complexity, 2020
In this article, we study the limit cycles in a generalized 5-degree Liénard system. The undamped system has a polycycle composed of a homoclinic loop and a heteroclinic loop.
Junning Cai, Minzhi Wei, Hongying Zhu
doaj   +1 more source

Virtual commissioning of the Korea Light Source Hard X‐ray Nanoprobe beamline with multilingual natural language control

Journal of Synchrotron Radiation, Volume 33, Issue 5, Page 1310-1325, September 2026.
A pre‐installation virtual commissioning platform for the Korea Light Source ID10 hard X‐ray nanoprobe couples browser‐based Monte Carlo ray tracing, EPICS/Bluesky control and a multilingual natural‐language agent (98.2% accuracy in Korean, English and Japanese) under a zero‐change hardware transition principle, producing commissioning design inputs ...
Minho Seo, Hyeong-joo Choi, Daseul Ham, Changwan Ha, Yong-Hyun Kim, Changhui Lee, Jun Lim, Ki-jeong Kim, In-hui Hwang, Jaeyong Shin   +9 more
wiley   +1 more source

Bifurcating Limit Cycles with a Perturbation of Systems Composed of Piecewise Smooth Differential Equations Consisting of Four Regions

Mathematics, 2023
Systems composed of piecewise smooth differential (PSD) mappings have quantitatively been searched for answers to a substantial issue of limit cycle (LC) bifurcations. In this paper, LC numbers (LCNs) of a PSD system (PSDS) consisting of four regions are
Erli Zhang, Jihua Yang, Stanford Shateyi
doaj   +1 more source

Red to Green: A Lipid Biomarker Record of Tonian‐Ediacaran Algae in Siberia

Geobiology, Volume 24, Issue 5, September/October 2026.
ABSTRACT Multiple lines of evidence point to a major diversification of Eukarya in the late Tonian period, ca. 800–720 Ma ago. Regular steranes, lipid biomarkers primarily sourced from eukaryotes, are first unambiguously reported from multiple sites. Here, we present lipid biomarker stratigraphic records from two drill‐cores from the Lena‐Anabar Basin ...
Adriana I. Rizzo, Andrey Bekker, Anton B. Kuznetsov, Victoria B. Ershova, Yijun Xiong, Karl E. Karlstrom, Simon W. Poulton, Gordon D. Love   +7 more
wiley   +1 more source

Poincaré-Melnikov-Arnold method for twist maps [PDF]

, 1997
The Poincar\'e--Melnikov--Arnold method is the standard tool for detecting splitting of invariant manifolds for systems of ordinary differential equations close to ``integrable'' ones with associated separatrices.
Delshams Valdés, Amadeu, Ramírez Ros, Rafael   +1 more
core   +2 more sources

Dynamics of a Modified Third–Order Phase–Locked Loops (PLL): Melnikov Approach, Simulations

Mathematics
In this article, we investigate the dynamics of new modified third-order Phase-Locked Loops (PLLs). Our goal here is to investigate the effect of the new factor ∑j=1Najsin(jωt) on the dynamics of the proposed model. Using perturbation techniques based on
Nikolay Kyurkchiev, Tsvetelin Zaevski, Anton Iliev, Vesselin Kyurkchiev, Asen Rahnev   +4 more
doaj   +1 more source