Results 51 to 60 of about 59,907 (228)

The Solution of the Extended 16th Hilbert Problem for Some Classes of Piecewise Differential Systems

Mathematics
The limit cycles have a main role in understanding the dynamics of planar differential systems, but their study is generally challenging. In the last few years, there has been a growing interest in researching the limit cycles of certain classes of ...
Louiza Baymout, Rebiha Benterki, Jaume Llibre   +2 more
doaj   +1 more source

Global centers of a class of cubic polynomial differential systems [PDF]

, 2023
Jaume Llibre, Gabriel Rondón
openalex   +1 more source

Construction of Special Solutions for Nonintegrable Systems

, 2006
The Painleve test is very useful to construct not only the Laurent series solutions of systems of nonlinear ordinary differential equations but also the elliptic and trigonometric ones. The standard methods for constructing the elliptic solutions consist
Ablowitz M J, Antonov V A, Barrow J D, Chang Y F, Chang Y F, Conte R, Conte R, Conte R, Davenport J H, DeWolfe O, Fan E, Golubev V V, Gremm M, Grimshaw R, Hone A N W, Hénon M, Kokubun F, Kowalevski S, Melkonian S, Murray C D, Musette M, Podolský Ji, Porubov A V, Santos G S, Timoshkova E I, Verhoeven C, Verhoeven C, Vernov S Yu, Weiss J, Weiss J, Yomba E   +30 more
core   +1 more source

In Situ Characterisation of Hydrogels via Dynamic Interface Printing

Advanced Science, EarlyView.
ABSTRACT Hydrogels have become pivotal materials for tissue engineering, robotics, biomedical devices, and sensing applications due to their diverse material compositions and tunable mechanical properties. While significant effort has focused on developing novel manufacturing approaches such as extrusion bioprinting and light‐based fabrication methods,
Callum Vidler, Michael Halwes, David J. Collins   +2 more
wiley   +1 more source

A construction of a large family of commuting pairs of integrable symplectic birational 4-dimensional maps

, 2016
We give a construction of completely integrable 4-dimensional Hamiltonian systems with cubic Hamilton functions. Applying to the corresponding pairs of commuting quadratic Hamiltonian vector fields the so called Kahan-Hirota-Kimura discretization scheme,
Petrera, Matteo, Suris, Yuri B.
core   +2 more sources

Direct Photocurrent Detection of Optical Vortex Based on the Orbital Photo Galvanic Effect: Progress, Challenge, and Perspective

Advanced Science, EarlyView.
Direct orbital angular momentum (OAM) detection through the orbital photogalvanic effect offers a scalable route for integrated optoelectronics. This perspective evaluates symmetry‐driven material selection and demonstrates how electrode matrices enable the resolution of complex, mixed OAM modes.
Jinluo Cheng, Dehong Yang, Weiming Wang, Chang Xu, Zipu Fan, Dong Sun   +5 more
wiley   +1 more source

Cubic and quartic planar differential systems with exact algebraic limit cycles

Electronic Journal of Differential Equations, 2011
We construct cubic and quartic polynomial planar differential systems with exact limit cycles that are ovals of algebraic real curves of degree four. The result obtained for the cubic case generalizes a proposition of [9].
Ahmed Bendjeddou, Rachid Cheurfa
doaj  

Unveiling a Bulk WTaV Multicomponent Alloy With Superior Thermal Properties and Manufacturability

Advanced Science, EarlyView.
ABSTRACT Many tungsten (W)‐based medium and high entropy alloys (HEA) demonstrate superior microstructural stability and enhanced mechanical properties as compared to pure W, effectively rendering them as viable candidate materials for extreme environments such as nuclear fusion, aerospace applications, and so on.
Ishtiaque K. Robin, Skye N. Supakul, Shalini Tripathi, Eda Aydogan, Matthew T. Vigil, Caleb Hatler, Bochuan Sun, Akshay Korpe, Enrique Martinez, Saryu J. Fensin, Dan J. Thoma, Osman El‐Atwani   +11 more
wiley   +1 more source

Using Symmetries to Investigate the Complete Integrability, Solitary Wave Solutions and Solitons of the Gardner Equation

Mathematical and Computational Applications
In this paper, using a scaling symmetry, it is shown how to compute polynomial conservation laws, generalized symmetries, recursion operators, Lax pairs, and bilinear forms of polynomial nonlinear partial differential equations, thereby establishing ...
Willy Hereman, Ünal Göktaş
doaj   +1 more source

On natural Poisson bivectors on the sphere

, 2011
We discuss the concept of natural Poisson bivectors, which allows us to consider the overwhelming majority of known integrable systems on the sphere in framework of bi-Hamiltonian geometry.Comment: LaTeX with AMS fonts, 18 pages, version for the ...
Tsiganov, A V
core   +1 more source