Results 71 to 80 of about 20,865 (289)

Pullback and uniform exponential attractors for non-autonomous Oregonator systems

Open Mathematics
We consider the long-time global dynamics of non-autonomous Oregonator systems. This system is a coupled system of three reaction-diffusion equations, that arises from the Belousov-Zhabotinskii reaction.
Liu Na, Yu Yang-Yang
doaj   +1 more source

Dynamic Analysis, Circuit Design, and Synchronization of a Novel 6D Memristive Four-Wing Hyperchaotic System with Multiple Coexisting Attractors

Complexity, 2020
In this work, a novel 6D four-wing hyperchaotic system with a line equilibrium based on a flux-controlled memristor model is proposed. The novel system is inspired from an existing 5D four-wing hyperchaotic system introduced by Zarei (2015).
Fei Yu, Li Liu, Hui Shen, Zinan Zhang, Yuanyuan Huang, Changqiong Shi, Shuo Cai, Xianming Wu, Sichun Du, Qiuzhen Wan   +9 more
doaj   +1 more source

Exponential attractors of the nonlinear wave equations

Chinese Science Bulletin, 1998
This paper is devoted to the exponential attractors of nonlinear wave equations of the form: \[ \begin{cases} u_{tt}+ \alpha u_t-\Delta u+g(u)= f(x), (x,t) \in\Omega \times\mathbb{R}_+,\\ u|_{\partial \Omega}=0,\;u(x,0)=u_0(x),\;u_t(x,0)= u_1(x).\end{cases} \] The authors prove \(H^1_0(\Omega)\times L^2 (\Omega)\)-type exponential attractors using both
Dai, Zhengde, Ma, Dacai
openaire   +2 more sources

Pullback Exponential Attractor for Second Order Nonautonomous Lattice System [PDF]

Discrete Dynamics in Nature and Society, 2014
We first present some sufficient conditions for the existence of a pullback exponential attractor for continuous process on the product space of the weighted spaces of infinite sequences. Then we prove the existence and continuity of a pullback exponential attractor for second order lattice system with time-dependent coupled coefficients in the ...
Shengfan Zhou, Hong Chen, Zhaojuan Wang
openaire   +3 more sources

Incidence of nonextensive thermodynamics in temporal scaling at Feigenbaum points

, 2006
Recently, in Phys. Rev. Lett. 95, 140601 (2005), P. Grassberger addresses the interesting issue of the applicability of q-statistics to the renowned Feigenbaum attractor.
A. Robledo, Anania, Añaños, Baldovin, Baldovin, Baldovin, Baldovin, Beck, Borges, Buiatti, Casati, Coraddu, Coraddu, Costa, de Moura, Eckmann, Farmer, Fujisaka, Grassberger, Grassberger, Halsey, Hata, Hilborn, Horita, Latora, Latora, Lyra, Mayoral, Mayoral, Montangero, Mori, Paladin, Robledo, Robledo, Robledo, Robledo, Sano, Schuster, Tirnakli, Tonelli, Tsallis, Tsallis, Yang   +42 more
core   +1 more source

Closed cosmologies with a perfect fluid and a scalar field [PDF]

, 2000
Closed, spatially homogeneous cosmological models with a perfect fluid and a scalar field with exponential potential are investigated, using dynamical systems methods. First, we consider the closed Friedmann-Robertson-Walker models, discussing the global
A. A. Coley, A. A. Coley, A. B. Burd, A. P. Billyard, A. P. Billyard, Alan Coley, C. B. Collins, C. Uggla, E. J. Copeland, H. Ringström, J. J. Halliwell, J. Wainwright, J. Wainwright, M. B. Green, M. Goliath, M. Goliath, Martin Goliath, N. Kaloper, O. I. Bogoyavlensky, R. J. van den Hoogen, R. J. van den Hoogen, X. F. Lin, X. F. Lin, Y. Kitada, Y. Kitada   +24 more
core   +2 more sources

Evaluating Energy Absorption Performance of Filled Lattice Structures

Advanced Engineering Materials, EarlyView.
Maximum stress must be considered to robustly evaluate energy absorber designs. This approach was applied to compare all types of absorbers in a single Ashby diagram and determine the utility of filling lattice voids with a second material. High‐performance fillers can improve the performance of lattices that are limited by buckling or catastrophic ...
Christian Bonney, William P. King, Iwona Jasiuk   +2 more
wiley   +1 more source

Global Stabilization of Boolean Networks to Control the Heterogeneity of Cellular Responses

Frontiers in Physiology, 2018
Boolean networks (BNs) have been widely used as a useful model for molecular regulatory networks in systems biology. In the state space of BNs, attractors represent particular cell phenotypes.
Jung-Min Yang, Chun-Kyung Lee, Kwang-Hyun Cho   +2 more
doaj   +1 more source

Multifunctional Crushing and Piezoresistive Self‐Sensing in Conductive Epoxy/CNT‐Coated Polyetherimide TPMS Lattices

Advanced Engineering Materials, EarlyView.
This study reports lightweight polyetherimide triply periodic minimal surfaces lattices coated with carbon nanotube‐reinforced epoxy that combine mechanical robustness with self‐sensing. The conformal coating enhances stiffness, strength and energy absorption while enabling reliable strain monitoring.
A. Triay, J. Schneider, P. Harrison, S. Kumar   +3 more
wiley   +1 more source

Regularity and Exponential Growth of Pullback Attractors for Semilinear Parabolic Equations Involving the Grushin Operator

Abstract and Applied Analysis, 2012
Considered here is the first initial boundary value problem for a semilinear degenerate parabolic equation involving the Grushin operator in a bounded domain Ω.
Nguyen Dinh Binh
doaj   +1 more source