Results 31 to 40 of about 1,614 (256)

Phase portraits of Bernoulli quadratic polynomial differential systems

Electronic Journal of Differential Equations, 2020
In this article we study a new class of quadratic polynomial differential systems. We classify all global phase portraits in the Poincare disk of Bernoulli quadratic polynomial differential systems in R^2.
Jaume Llibre, Weber F. Pereira, Claudio Pessoa   +2 more
doaj  

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

A New Robust Method to Investigate Dynamic Instability of FTV for the Double Tripod Industrial Driveshafts in the Principal Parametric Resonance Region

Applied Sciences, 2022
The present work aims to design a robust method to detect and certify the deterministic chaos or ergodic process for the forced torsional vibrations (FTV) of a double tripod industrial driveshaft (DTID) in transition through the principal parametric ...
Mihai Bugaru, Ovidiu Vasile
doaj   +1 more source

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

A new 3-D jerk chaotic system with two cubic nonlinearities and its adaptive backstepping control

Archives of Control Sciences, 2017
This paper presents a new seven-term 3-D jerk chaotic system with two cubic nonlinearities. The phase portraits of the novel jerk chaotic system are displayed and the qualitative properties of the jerk system are described.
Vaidyanathan Sundarapandian
doaj   +1 more source