Results 241 to 250 of about 4,947,310 (278)

Unstable Sets of Periodic Orbits and the Global Attractor for Delayed Feedback

, 2012
The differential equation ẋ(t) = −μx(t) + f(x(t − 1)) with μ > 0 and a C-smooth real function f satisfying f(0) = 0 and f ′ > 0 models a system with instantaneous friction and delayed feedback.
T. Krisztin
semanticscholar   +1 more source

Nontrivial Global Attractors in 2-D Multistable Attractor Neural Networks

IEEE Transactions on Neural Networks, 2009
Attractor dynamics is a crucial problem for attractor neural networks, as it is the underling computational mechanism for memory storage and retrieval in neural systems. This brief studies a class of attractor network consisting of linearized threshold neurons, and analyzes global attractors based on a parameterized 2-D model.
Weinian Zhang, Lan Zou, Huajin Tang, Kay Chen Tan   +3 more
openaire   +3 more sources

Synchronization, attractor fission, and attractor fusion in a globally coupled laser system

Physical Review A, 1992
A globally coupled class-B laser array with incoherent feedback is proposed for exploring the complex dynamics of dynamical systems with the highest connectivity. This feedback shows a fundamental characteristic, information lag, and results in the general features of synchronization, attractor fission, and attractor fusion processes.
Jyh-Long Chern, Kenju Otsuka
openaire   +3 more sources

Finite-dimensional global attractor for a system modeling the 2D nematic liquid crystal flow

, 2011
We consider a 2D system that models the nematic liquid crystal flow through the Navier–Stokes equations suitably coupled with a transport-reaction-diffusion equation for the averaged molecular orientations.
M. Grasselli, Hao-qing Wu
semanticscholar   +1 more source

Global Attractors and Basic Turbulence

1994
We consider a dynamical system defined by a nonlinear partial differential equation (PDE) on a Banach space X. If for reasonably smooth initial data there exist unique solutions exhibiting complex nonlocal irregular behaviour, we say that the system is turbulent.
openaire   +2 more sources

Global attractors for autonomous evolution equations

2012
Chapter 2 is concerned with large time behaviour of solutions of evolution equations in terms of the global attractor, its existence and properties. Note that, good estimates on the dimension of attractors in terms of biological (medical, physical etc.) parameters are crucial for the finite-dimensional reduction and at present there exists a highly ...
openaire   +2 more sources

Global Cancer Statistics 2020: GLOBOCAN Estimates of Incidence and Mortality Worldwide for 36 Cancers in 185 Countries

Ca-A Cancer Journal for Clinicians, 2021
Hyuna Sung, Jacques Ferlay, Rebecca L Siegel   +2 more
exaly  

Finite dimensional global attractor for a fractional nonlinear Schrödinger equation

Nonlinear Differential Equations and Applications NoDEA, 2017
O. Goubet, E. Zahrouni
semanticscholar   +1 more source

Integrative oncology: Addressing the global challenges of cancer prevention and treatment

Ca-A Cancer Journal for Clinicians, 2022
Paulo Cáceres Guido, Jun J Mao, Lorenzo Cohen   +2 more
exaly  

Metabolomics in cancer research and emerging applications in clinical oncology

Ca-A Cancer Journal for Clinicians, 2021
Daniel R Schmidt, David G Kirsch, Caroline A Lewis   +2 more
exaly