Article
Mathematics, Applied
Vasundhara Rathore, Ayushi Suman, Sarika Jalan
Summary: This study investigates the impact of negative coupling from contrarians in multilayer networks of phase oscillators with higher-order interactions. It is found that the multilayer framework facilitates the onset of synchronization, with the multilayer strength governing the onset and nature of the phase transition, and higher-order interactions dictating the backward critical coupling.
Article
Mathematics, Applied
Roberta Filippucci, Marius Ghergu
Summary: This article investigates a problem concerning the existence and nonexistence of weak solutions, providing necessary conditions for the problem to have solutions and emphasizing the role played by the sign of partial derivatives.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
(2022)
Article
Multidisciplinary Sciences
E. Vasilyeva, A. Kozlov, K. Alfaro-Bittner, D. Musatov, A. M. Raigorodskii, M. Perc, S. Boccaletti
Summary: The study investigates higher-order scientific collaboration networks, where more than two individuals can be connected in a collaboration link. The research tracks the development of collaboration networks by progressively merging collaborations from smaller to larger sizes. Using publications as network nodes yielded qualitatively similar insights, confirming their robustness.
SCIENTIFIC REPORTS
(2021)
Article
Mathematics, Applied
Gustavo Hoepfner, Paulo Liboni, Dorina Mitrea, Irina Mitrea, Marius Mitrea
Summary: This study explores the theory of multilayer potential operators associated with any given homogeneous constant-coefficient higher-order elliptic system L in an open set Omega satisfying geometric measure theoretic assumptions. The results indicate that singular integral operators are bounded on Lebesgue spaces in the case of a uniformly rectifiable domain Omega, which is significant for boundary value problems of the higher-order system L in such a domain.
Article
Materials Science, Multidisciplinary
Kun Luo, Hao Geng, Li Sheng, Wei Chen, D. Y. Xing
Summary: The study demonstrates that the spatial configurations of hinge states in 3D HOTIs can be clearly revealed by using interfering loops composed of two basic magnetic fluxes. The frequency components of conductance oscillations are universally related, facilitating the exploration of the AB effect in 3D HOTIs.
Article
Chemistry, Physical
Daniel E. Cotton, Sean T. Roberts
Summary: SFG spectroscopy enhances understanding of chemical interfaces in various fields but interpreting spectra with multiple internal interfaces is challenging. Study shows that under specific experimental conditions, SFG signals from a particular interface can be isolated and amplified, providing general guidelines for experimental design.
JOURNAL OF CHEMICAL PHYSICS
(2021)
Article
Physics, Applied
D. Ramaccia, A. Alu, A. Toscano, F. Bilotti
Summary: Temporal metamaterials are artificial materials with electromagnetic properties that change over time, allowing for the realization of non-homogeneous temporal media or stepwise transitions. By modeling wave propagation through a generalized temporal multilayer structure, higher-order transfer functions can be synthesized, enabling the design of novel electromagnetic and optical devices with tailored scattering responses. This approach leverages the temporal dimension instead of the spatial dimension typically used in optical and electromagnetic multilayered structures.
APPLIED PHYSICS LETTERS
(2021)
Article
Engineering, Multidisciplinary
Morteza Nejati, Saeid Ghouli, Majid R. Ayatollahi
Summary: This paper introduces the series expansion of crack tip asymptotic fields in an anisotropic plane. The study focuses on stress, strain, and displacement solutions for modes I and II, as well as the characteristics of crack rigid body rotation and T-stress. Additionally, the elasticity solution for an inclined central crack on an infinite anisotropic plane under uniaxial or biaxial loading is presented, with emphasis on the dependency of the T-stress on material properties.
APPLIED MATHEMATICAL MODELLING
(2021)
Article
Chemistry, Physical
Julian Luttig, Stefan Mueller, Pavel Maly, Jacob J. Krich, Tobias Brixner
Summary: Transient absorption and coherent two-dimensional spectroscopy are commonly used methods for studying ultrafast dynamics in quantum systems. This article discusses the potential of higher-order pump-probe and multidimensional spectroscopy in providing insight into excited multiparticle states and their dynamics. The authors demonstrate how phase cycling can be used to isolate higher-order spectra in fluorescence-detected two-dimensional spectroscopy, and discuss the power of coherently detected fifth-order 2D spectroscopy in tracking exciton diffusion. They also show how higher-order signals can be extracted from ordinary pump-probe experiments to study multiexciton interactions and provide annihilation-free signals at high excitation densities.
JOURNAL OF PHYSICAL CHEMISTRY LETTERS
(2023)
Article
Mathematics, Applied
Ariel E. Barton, Michael J. Duffy Jr
Summary: We establish the Caccioppoli inequality, a reverse Holder inequality inspired by Meyers' classic estimate, and construct the fundamental solution for linear elliptic differential equations of order 2m with certain lower order terms.
ADVANCED NONLINEAR STUDIES
(2023)
Article
Automation & Control Systems
Qian Liu, Xiaoli Li
Summary: This paper proposes a new method to infer asymptotic stability of switched nonlinear systems using higher-order derivatives of generalized Lyapunov-like functions. By introducing bilinearly diagonally dominant sum of squares constraints, the stability conditions are transformed into a more computationally tractable form.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2022)
Article
Astronomy & Astrophysics
Clifford M. Will
Summary: The study focuses on the secular evolution of hierarchical triple systems, specifically the quadrupolar perturbation induced on the inner binary by a distant third body. Through a detailed analysis of the Newtonian three-body equations expanded to second order, it was found that the second-order quadrupole effects can enhance by a factor of the outer to inner orbital periods ratio, similar to (A/a)^(3/2), impacting the long-term evolution of the systems.
Article
Computer Science, Interdisciplinary Applications
Yu Lou, Yi Zhang
Summary: In this study, a generalized nonlinear Schrodinger equation with higher-order terms is investigated as a model for the nonlinear spin excitations in the one-dimensional isotropic biquadratic Heisenberg ferromagnetic spin. The Darboux transformation of the equation is presented using Riccati equations associated with the Lax pair. By considering complicated Jacobi elliptic functions as seed solutions, breathers in the presence of two kinds of Jacobian elliptic functions are constructed. The dynamical properties of these solutions are analyzed using three-dimensional figures.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2022)
Article
Physics, Particles & Fields
Dalia Saha, Mohosin Alam, Ranajit Mandal, Abhik Kumar Sanyal
Summary: A viable quantum theory prohibits the inclusion of curvature invariant terms of different higher orders in the gravitational action. The study demonstrates a conflict between curvature squared and Gauss-Bonnet squared terms in terms of hermiticity, suggesting that one should choose either of them, but not both, in addition to the Einstein-Hilbert term. The early cosmic evolution is explored with the Gauss-Bonnet squared term included.
Article
Mathematics, Applied
Brian Bullins, Kevin A. Lai
Summary: This study presents improved convergence rates for constrained convex-concave min-max problems and monotone variational inequalities with higher-order smoothness. By proposing an algorithm, higher iteration complexity can be achieved in cases where higher-order derivatives are Lipschitz continuous, improving upon existing methods.
SIAM JOURNAL ON OPTIMIZATION
(2022)