STRUCTURE OF THE FULLBACK ATTRACTOR FOR A NON-AUTONOMOUS SCALAR DIFFERENTIAL INCLUSION

T. CARABALLO; J. A. LANGA; J. VALERO

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STRUCTURE OF THE FULLBACK ATTRACTOR FOR A NON-AUTONOMOUS SCALAR DIFFERENTIAL INCLUSION

机译：非自治标量微分包含的Fullback吸引子的结构

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The structure of attractors for differential equations is one of the main topics in the qualitative theory of dynamical systems. However, the theory is still in its infancy in the case of multivalued dynamical systems. In this paper we study in detail the structure and internal dynamics of a scalar differential equation, both in the autonomous and non-autonomous cases. To this aim, we will also show a general result on the characterization of a pullback attractor for a multivalued process by the union of all the complete bounded trajectories of the system.

机译：微分方程吸引子的结构是动力学系统定性理论的主要主题之一。但是，在多值动力学系统的情况下，该理论仍处于起步阶段。在本文中，我们详细研究了标量微分方程在自治和非自治情况下的结构和内部动力学。为此，我们还将通过系统所有完整有界轨迹的并集，对多值过程的回吸吸引子进行表征，从而得出一般结果。

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《Discrete and continuous dynamical systems》 |2016年第4期|979-994|共16页
作者
T. CARABALLO; J. A. LANGA; J. VALERO;
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作者单位

Departamento de Ecuaciones Diferenciales y Análisis Numérico Universidad de Sevilla Apdo. de Correos 1160, 41080-Sevilla, Span;

Departamento de Ecuaciones Diferenciales y Análisis Numérico Universidad de Sevilla Apdo. de Correos 1160, 41080-Sevilla, Span;

Centro de Investigación Operativa, Universidad Miguel Hernández Avda. Universidad, s, 03202-Elche, Spain;

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正文语种 eng
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关键词
Non-autonomous dynamical systems; differential inclusion; pullback attractor; structure of the attracor; multivalued dynamical systems;

机译：非自治动力系统;差异包含拉回吸引子attracor的结构;多值动力系统;

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1. Fullback attractors in H~1(R~N) for non-autonomous nonclassical diffusion equations [J] . Fanghong Zhang, Yongfeng Liu Dynamical Systems . 2014,第1期

机译：非自治非经典扩散方程H〜1（R〜N）中的后卫吸引子
2. Weak Pullback Attractors of Non-autonomous Difference Inclusions [J] . P. E. Kloeden, P. Marin-Rubio Journal of difference equations and applications . 2003,第5期

机译：非自治差异包含的弱回调吸引子
3. Weak Pullback Attractors of Non-autonomous Difference Inclusions [J] . P. E. Kloeden, P. Marin-Rubio Journal of difference equations and applications . 2003,第5期

机译：非自治差异包含的弱回调吸引子
4. Stabilization a class of fractional-order polytopic differential inclusion systems and variable structure control [C] . Balochian Saeed 2011 2nd International Conference on Instrumentation Control and Automation . 2011

机译：稳定一类分数阶多微分包含系统和变结构控制
5. Evolution systems of measures for non-autonomous stochastic differential equations with Lévy noise [D] . Wooster, Robert, III 2009

机译：具有Lévy噪声的非自治随机微分方程测度的演化系统
6. Causal structure of oscillations in gene regulatory networks: Boolean analysis of ordinary differential equation attractors [O] . Mengyang Sun, Xianrui Cheng, Joshua E. S. Socolar -1

机译：基因调节网络中振荡的因果结构：常微分方程吸引子的布尔分析
7. Structure of the pullback attractor for a non-autonomous scalar differential inclusion [O] . Caraballo Garrido, Tomás, Langa Rosado, José Antonio 2016

机译：非自治标量微分包含的回拉吸引子的结构

STRUCTURE OF THE FULLBACK ATTRACTOR FOR A NON-AUTONOMOUS SCALAR DIFFERENTIAL INCLUSION

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