Results 31 to 40 of about 3,352 (233)

Quadratic systems with two invariant real straight lines and an invariant parabola

Electronic Journal of Qualitative Theory of Differential Equations
After the linear differential systems in the plane the easiest ones are the quadratic polynomial differential systems. Due to their nonlinearity and also to their many applications these systems have been studied by many authors. Let QS denote the set of
Jaume Llibre, Huaxin Ou
doaj   +1 more source

Local and global phase portrait of equation $\dot z=f(z)$

Discrete & Continuous Dynamical Systems - A, 2007
This paper studies the differential equation $\dot z=f(z)$, where $f$ is an analytic function in $\mathbb C$ except, possibly, at isolated singularities. We give a unify treatment of well known results and provide new insight into the local normal forms and global properties of the solutions for this family of differential equations.
Antonio Garijo, Armengol Gasull, Xavier Jarque   +2 more
openaire   +1 more source

Global Phase Portrait and Bifurcation Diagram for a Multi-Parametric Linear System

Journal of Southwest Jiaotong University, 2020
The goal of this article is to conduct a global dynamics study of a linear multiparameter system (real parameters (a,b,c) in R^3); for this, we take the different changes that these parameters present. First, we find the different parametric surfaces in which the space is divided, where the stability of the critical point is defined; we then create a ...
Jorge Rodríguez Contreras, Alberto Reyes Linero, Juliana Vargas Sánchez   +2 more
openaire   +2 more sources

Three‐dimensional Antimony Sulfide Based Flat Optics

Advanced Functional Materials, EarlyView.
This work presents the development of a grayscale electron beam lithography (g‐EBL) method for fabricating antimony trisulfide (Sb2S3) nanostructures with customizable 3D profiles. The refractive index of g‐EBL patterned Sb2S3 is determined based on the synergy of genetic algorithm and transfer matrix method.
Wei Wang, Uwe Hübner, Anne Gärtner, Tao Chen, Joseph Köbel, Franka Jahn, Daniel Repp, Abhrodeep Dey, Henrik Schneidwind, Andrea Dellith, Jan Dellith, Torsten Wieduwilt, Matthias Zeisberger, Tanveer Ahmed Shaik, Astrid Bingel, Markus A. Schmidt, Jer‐Shing Huang, Ulf Peschel, Volker Deckert   +18 more
wiley   +1 more source

Global phase portraits of uniform isochronous centers with quartic homogeneous polynomial nonlinearities

Discrete and Continuous Dynamical Systems - Series B, 2015
Agraïments: The first author is is supported by a Ciência sem Fronteiras-CNPq grant number 201002/ 2012-4. A CAPES grant number 88881.030454/2013-01 from the program CSF-PVE We classify the global phase portraits in the Poincar\'e disc of the differential systems =-y xf(x,y), =x yf(x,y), where f(x,y) is a homogeneous polynomial of degree 3.
Itikawa, Jackson, Llibre, Jaume
openaire   +5 more sources

Global Phase Portrait of a Rolling Motion of Ships Equation

Qualitative Theory of Dynamical Systems
Abstract This paper studies the global dynamics of the rolling motion of ships in random beam seas model described by the equation $$\begin{aligned} \ddot{x}+ (2\mu + \delta x^2){\dot{x}} + \omega ^2 x-\frac{1}{a^2} x^3=0, \end{aligned}$$
Martha Álvarez–Ramírez, Jaume Llibre
openaire   +3 more sources

Porous Hybrid Soft Actuators From Liquid Crystal Networks and Lyotropic Chromonic Liquid Crystal Templated Hydrogels

Advanced Materials, EarlyView.
The graphic illustrates the design of a hybrid bilayer composed of a liquid crystal hydrogel (LCH) and a liquid crystal network (LCN). The figure highlights the magnetic alignment of the chromonic hydrogel and the thermal‐responsive actuation of the LCN along with the LCH when both layers are aligned or misaligned, enabling programmable, light‐driven ...
Ramón Santiago Herrera Restrepo, Irving Hafed Tejedor García, Matthew Gene Scarfo, Negin Bouzari, Negar Rajabi, Olga Bantysh, Joel Torres‐Andrés, Christopher W. V. James, Maria Guix, Amirreza Aghakhani, Jordi Ignés‐Mullol, Salvador Pané, Josep Puigmartí‐Luis, Hamed Shahsavan   +13 more
wiley   +1 more source

Light‐Induced Entropy for Secure Vision

Advanced Materials, EarlyView.
This work realized a ternary true random number generator by exploiting stochastic traps emerging within multiple junction interfaces, and quantitatively validated the generation of high‐quality random numbers. Furthermore, it successfully demonstrated diverse applications, including AI‐resilient image security, thereby providing a valuable guide for ...
Juhyung Seo, Seungme Kang, Chaehyun Kim, Taehyun Park, Youngwoo Yoo, Yeong Kwon Kim, Wonjun Shin, Byung Chul Jang, Young‐Joon Kim, Hocheon Yoo   +9 more
wiley   +1 more source

Global analysis of the phase portrait for the Kuramoto-Sivashinsky equation [PDF]

Journal of Dynamics and Differential Equations, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Wafer‐Scale Synthesis of Molecularly Engineered 2D Covalent Organic Framework Films for Highly‐Sensitive and Rapid‐Response Humidity Sensing

Advanced Materials, EarlyView.
We report molecularly engineered 2D COF films for high‐performance humidity sensors. The developed COFTPT‐THTA ultrathin film features triazine‐functionalized π‐conjugated backbones and high‐density surface hydroxyl groups. This unique architecture facilitates an electron‐proton coupled transport mechanism.
Liangyu Dong, Can Wang, Jiawen Liu, Bin Han, Bo Zhou, Valentina Girelli Consolaro, Nikita Denisov, Arno Annys, Johan Verbeeck, Verónica Montes‐García, Xinyi Shao, Wei Song, Bin Xu, Sara Bals, Zhaoyang Liu, Wenjing Tian, Paolo Samorì   +16 more
wiley   +1 more source