Supercontinuum generation in scintillator crystals by Vaida Marčiulionytė, Gintaras Tamošauskas, Matas Šutovas, Audrius Dubietis

“…The measured cut-off wavelengths at the short-wavelength side are in line with the general trend of blue-shifted spectral broadening on the bandgap of nonlinear material. All the nonlinear materials produced reasonable red-shifted spectral broadenings under conditions of optimal pump pulse energies, with the largest red-shift exceeding 2000 nm measured in GGG crystal. …”
Get full text

Efficient Probabilistic and Geometric Anatomical Mapping Using Particle Mesh Approximation on GPUs by Linh Ha, Marcel Prastawa, Guido Gerig, John H. Gilmore, Cláudio T. Silva, Sarang Joshi

“…First, it requires a robust registration framework that does not depend on intensity measurements and can handle large nonlinear shape variations. Second, it involves the expensive computation of nonlinear deformations with high degrees of freedom. …”
Get full text

The Research on Strain-Softening Characteristics and Local Fracture Law of Deep Granite Roadway by Chuang Sun, Yunhe Ao, Laigui Wang

“…An exponential relationship between granite peak softening modulus and confining pressure was obtained using a nonlinear fitting method. A strain-softening model was developed based on plasticity theory for granite which took into account the nonlinear dilatancy angle and confining pressure. …”
Get full text

Relationship between albumin-globulin ratio and prostate-specific antigen: a cross-sectional study based on NHANES 2003–2010 by Simeng Gao, Shaojie Li, Baofang Wu, Jiayin Wang, Sijuan Ding, Zhaohui Tang

“…Conclusion In the United States, among men over 40 years of age without prostate diseases, AGR demonstrated a nonlinear relationship with PSA, negatively correlating when AGR was below 1.32. …”
Get full text

Analytical Approximate Solutions for the Cubic-Quintic Duffing Oscillator in Terms of Elementary Functions by A. Beléndez, M. L. Alvarez, J. Francés, S. Bleda, T. Beléndez, A. Nájera, E. Arribas

“…To do this, we use the previous results obtained using a cubication method in which the restoring force is expanded in Chebyshev polynomials and the original nonlinear differential equation is approximated by a cubic Duffing equation. …”
Get full text

Identifiability of mathematical models in medical biology by S. I. Kabanikhin, D. A. Voronov, A. A. Grodz, O. I. Krivorotko

“…The processes considered are modeled using nonlinear systems of ordinary differential equations. …”
Get full text

Numerical analysis of mathematical model of nanofluid flow through stagnation point involving thermal radiation, activation energy, and living organisms by Munaza Chaudhry, Muhammad Abdul Basit, Muhammad Imran, Madeeha Tahir, Aiedh Mrisi Alharthi, Jihad Younis

“…Convergent implications of nonlinear systems are produced by MATLAB software’s built-in bvp4c algorithm. …”
Get full text

Application of mean maximum Young’s modulus value as a new parameter for differential diagnosis of prostate diseases by Nailei Huang, Xinge Cao, Zhong Li, Haoyu Wang, Wei Zhao, Jun Shi

“…The relationship between m-Emax and prostate disease was consistent with the nonlinear effect showed by tissues as an elastic model in normal physiological activity areas. …”
Get full text

Information Flow between Global Equities and Cryptocurrencies: A VMD-Based Entropy Evaluating Shocks from COVID-19 Pandemic by Emmanuel Asafo-Adjei, Peterson Owusu Junior, Anokye M. Adam

“…The impetus of this study is to examine the degree of asymmetry and nonlinear directional causality between global equities and cryptocurrencies in the frequency domain. …”
Get full text

Collective coupling of driven multilevel atoms and its effect on four-wave mixing by P. Yanes-Thomas, R. Gutiérrez-Jáuregui, P. Barberis-Blostein, D. Sahagún-Sánchez, R. Jáuregui, A. Kunold

“…Microscopic models based on multilevel atoms are central to optimizing nonlinear optical responses and the coherent control of light. …”
Get full text

Novel computations of the time-fractional chemical Schnakenberg mathematical model via non-singular kernel operators by Abdul Hamid Ganie, Fatemah Mofarreh, N. S. Alharthi, Adnan Khan

“…We presented the approximate solution using the Natural transform decomposition technique (NTDM) for the basic modified nonlinear Schnakenberg model in the sense of the Caputo–Fabrizio and Atangana–Baleanu differential operator. …”
Get full text

State estimation in an islanded hybrid solar-wind DC microgrid using Unscented Kalman Filter by Nima HajiHeydari Varnoosfaderani, Amir Khorsandi

“…The wind generation unit, which incorporates a three-phase synchronous generator, is represented by a fourth-order nonlinear state-space model. Consequently, the entire microgrid is described by a ninth-order nonlinear state-space model, which is simplified by excluding two states from the battery model. …”
Get full text

Influence of drilling incidence angle on the drilling force distribution of pneumatic impactor by Dongfang Li, Zengyang Huang, Haibin Lin, Huiyi Zhu, Wentao Fu, Yujuan Deng

“…Based on the dynamic theory of impact drilling and finite element method (FEM), the constitutive model of HJC criterion and INVENTOR 3D mechanical structure design software, a 3D numerical analysis system of piston-bit head-rock during pneumatic impactor drilling is established by ANSYS LS-DYNA, a nonlinear dynamic analysis software. The numerical results of drilling force at different incidence angles are analyzed in detail. …”
Get full text

Space Weather Challenge and Forecasting Implications of Rossby Waves by Mausumi Dikpati, Scott W. McIntosh

“…Recent simulations of magnetohydrodynamics of tachocline Rossby waves and magnetic fields are demonstrated to produce strong “tachocline nonlinear oscillations,” which have periods similar to those observed in the solar atmosphere—enhanced periods of solar activity, or “seasons”—occurring at intervals between six months and two years. …”
Get full text

ESTABLISHED MODES AND STATIC CHARACTERISTICS OF THREE-PHASE ASYNCHRONOUS MOTOR POWERED WITH SINGLE PHASE NETWORK by V. S. Malyar, V. V. Malyar

“…The resulting nonlinear system of algebraic equations is a discrete analogue of the initial system of differential equations. …”
Get full text

The significance of heat transfer through natural convection in stagnation point flow of prandtl fluid by Salman Zeb, Zakir Ullah, A.B. Albidah, Ilyas Khan, Waqar A. Khan

“…These equations are converted into nonlinear partial differential equations using appropriate dimensionless variables. …”
Get full text

The correlation between heavy metal ions in blood and metabolic dysfunction-associated steatotic liver disease from 1999 to 2018 based on NHANES data by Haijun Ma, Ju Zhao, Jian Xu

“…Stratified analyses and restricted cubic spline curves were employed to examine subgroup differences and nonlinear relationships.ResultsThe study revealed significant inverse associations between serum cadmium and mercury levels and the likelihood of MASLD. …”
Get full text

Defect-assisted reversible phase transition in mono- and few-layer ReS2 by George Zograf, Andrew B. Yankovich, Betül Küçüköz, Abhay V. Agrawal, Alexander Yu. Polyakov, Joachim Ciers, Fredrik Eriksson, Åsa Haglund, Paul Erhart, Tomasz J. Antosiewicz, Eva Olsson, Timur O. Shegai

“…Consequently, controlling the crystal structure of these materials is essential for fine-tuning their performance, e.g., linear and nonlinear optical, as well as charge transport properties. …”
Get full text

Opportunities for gas-phase science at short-wavelength free-electron lasers with undulator-based polarization control by Markus Ilchen, Enrico Allaria, Primož Rebernik Ribič, Heinz-Dieter Nuhn, Alberto Lutman, Evgeny Schneidmiller, Markus Tischer, Mikail Yurkov, Marco Calvi, Eduard Prat, Sven Reiche, Thomas Schmidt, Gianluca Aldo Geloni, Suren Karabekyan, Jiawei Yan, Svitozar Serkez, Zhangfeng Gao, Bangjie Deng, Chao Feng, Haixiao Deng, Wolfram Helml, Lars Funke, Mats Larsson, Vitali Zhaunerchyk, Michael Meyer, Tommaso Mazza, Till Jahnke, Reinhard Dörner, Francesca Calegari, Olga Smirnova, Caterina Vozzi, Giovanni De Ninno, Jonas Wätzel, Jamal Berakdar, Sadia Bari, Lucas Schwob, Jérémy R. Rouxel, Shaul Mukamel, Klaus Bartschat, Kathryn Hamilton, Luca Argenti, Nicolas Douguet, Nikolay M. Novikovskiy, Philipp V. Demekhin, Peter Walter

“…Their revolutionary and innovative developments have opened new fields of science regarding nonlinear light-matter interaction, the investigation of ultrafast processes from specific observer sites, and approaches to imaging matter with atomic resolution. …”
Get full text

Relationship between Driving Pressure and Mortality in Ventilated Patients with Heart Failure: A Cohort Study by Qilin Yang, Jiezhao Zheng, Xiaohua Chen, Weiyan Chen, Deliang Wen, Xuming Xiong, Zhenhui Zhang

“…Conclusions. There was a nonlinear relationship between driving pressure and mortality in patients with HF who were ventilated for more than 48 h, and this relationship was associated with increased in-hospital mortality when the driving pressure was more than 14.27 cmH2O.…”
Get full text