Results 111 to 120 of about 437,825 (261)

On New Conservation Laws of Fin Equation

Advances in Mathematical Physics, 2014
We study the new conservation forms of the nonlinear fin equation in mathematical physics. In this study, first, Lie point symmetries of the fin equation are identified and classified.
Gülden Gün Polat, Özlem Orhan, Teoman Özer   +2 more
doaj   +1 more source

Limit cycles and Lie symmetries

Bulletin des Sciences Mathématiques, 2007
Given a planar vector field U which generates the Lie symmetry of some other vector field X, we prove a new criterion to control the stability of the periodic orbits of U. The problem is linked to a classical problem proposed by A.T. Winfree in the seventies about the existence of isochrons of limit cycles (the question suggested by the study of ...
Freire, Emilio, Gasull Embid, Armengol, Guillamon Grabolosa, Antoni   +2 more
openaire   +2 more sources

Golden‐Ratio–Guided Aperiodic Architected Metamaterials with Simultaneously Enhanced Strength and Toughness

Advanced Functional Materials, EarlyView.
Guided by the golden ratio, a class of aperiodic architected metamaterials is introduced to address the intrinsic trade‐off between strength and toughness. By unifying local geometric heterogeneity with global order, the golden‐ratio‐guided aperiodic architecture promotes spatial delocalization of damage tolerence regions, leading to more tortuous ...
Junjie Deng, Xinxin Wang, Ruochao Zhao, Zhendong Li, Kai Liu, Ke Yuan, Jia An, Xinwei Li, Chee Kai Chua, Zhonggang Wang   +9 more
wiley   +1 more source

Two‐Dimensional Materials as a Multiproperty Sensing Platform

Advanced Functional Materials, EarlyView.
Various sensing modalities enabled and/or enhanced by two‐dimensional (2D) materials are reviewed. The domains considered for sensing include: 1) optoelectronics, 2) quantum defects, 3) scanning probe microscopy, 4) nanomechanics, and 5) bio‐ and chemosensing.
Dipankar Jana, Shubhrasish Mukherjee, Dmitrii Litvinov, Magdalena Grzeszczyk, Sergey Grebenchuk, Makars Šiškins, Virgil Gavriliuc, Yihang Ouyang, Changyi Chen, Yuxuan Ye, Meng Yiming, Maciej Koperski   +11 more
wiley   +1 more source

Controllability analysis of mechanical multibody dynamics control systems based on lie symmetry

Alexandria Engineering Journal
To quantitatively characterize the dynamic controlled performance of mechanical multibody systems and design collaborative control strategies, this paper investigates the controllability of mechanical multibody dynamic control systems. Firstly, under the
Zheng Mingliang
doaj   +1 more source

Reductions and conservation laws for BBM and modified BBM equations

Open Mathematics, 2016
In this paper, the classical Lie theory is applied to study the Benjamin-Bona-Mahony (BBM) and modified Benjamin-Bona-Mahony equations (MBBM) to obtain their symmetries, invariant solutions, symmetry reductions and differential invariants. By observation
Khorshidi Maryam, Nadjafikhah Mehdi, Jafari Hossein, Al Qurashi Maysaa   +3 more
doaj   +1 more source

Dual‐Phased Molybdenum Carbides Confined in MOF‐Derived Carbon Nanoframes Enhance Capacitive Desalination

Advanced Functional Materials, EarlyView.
Dual‐phase MoC/Mo2C/CoNC nanoframes are synthesized via a MOF‐on‐MOF strategy, demonstrating a large salt adsorption capacity, a low energy consumption, and an excellent cycling stability. In situ/ex situ characterizations and DFT calculations reveal that the MoC/Mo2C dual phase transition facilitates Na+ adsorption/desorption, while interface‐induced ...
Feifei Pang, Bohan Liu, Jingyu Wu, Qian Yang, Zhichang Xiao, Ningzhao Shang, Xiaoxian Zhao, Yusuke Yamauchi, Shuaihua Zhang   +8 more
wiley   +1 more source

Magnetic and Structural Response Tuned by Coexisting Mn Concentration‐Dependent Phases in MnBi2Te4 Thin Film Grown on GaAs(001) by Molecular Beam Epitaxy

Advanced Functional Materials, EarlyView.
The study explores structural and magnetic properties of one of the most recent topological quantum materials (MnBi2Te4). The Mn‐poor structure leads to stacking faults (quintuple layer ‐ QL of Bi2Te3 formation instead of a septuple layer ‐ SL of MnBi2Te4), resulting in a coexistence between weak antiferromagnetism and ferromagnetism.
Wesley F. Inoch, Sergio L. A. Mello, Gilberto Rodrigues‐Junior, Sukarno O. Ferreira, Marcelo M. Sant'Anna, Benjamin R. Salles, Mateus T. Souza, Sérgio L. Morelhão, Maybi F. Sampaio, Bráulio S. Archanjo, Leonarde N. Rodrigues   +10 more
wiley   +1 more source

Full‐Spectrum Solar Harvesting and Desalination Enabled by Supra‐Nano Amorphous Ruthenium Dioxide – Mineral Composites

Advanced Functional Materials, EarlyView.
A mineral‐based supra‐nano amorphous ruthenium dioxide composite (a‐Ru0.5‐AM) was designed, achieving 97% broadband solar absorption. Under one sun, it reaches 87.91 ± 0.32 °C with a distinct thermal buffering effect that favors thermal confinement.
Yunchen Long, Zhengyi Mao, Bowen Li, Xiujuan Hu, Xinxue Tang, Yuanchao Liu, Jia‐Hua Liu, Hongkun Li, Chong Wang, Hong Yue, Weihui Ou, Johnny Chung Yin Ho, Jian Lu, Yang Yang Li   +13 more
wiley   +1 more source

Reduction of Symplectic Lie Algebroids by a Lie Subalgebroid and a Symmetry Lie Group

Symmetry, Integrability and Geometry: Methods and Applications, 2007
We describe the reduction procedure for a symplectic Lie algebroid by a Lie subalgebroid and a symmetry Lie group. Moreover, given an invariant Hamiltonian function we obtain the corresponding reduced Hamiltonian dynamics. Several examples illustrate the
David Iglesias, Juan Carlos Marrero, David Martín de Diego, Eduardo Martínez, Edith Padrón   +4 more
doaj