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介绍“扩展系统的模式形成和非线性动力学的新趋势”。

Introduction to 'New trends in pattern formation and nonlinear dynamics of extended systems'.

机构信息

Department of Mathematics, Technion-Israel Institute of Technology, Haifa 32000, Israel.

Institute of Continuous Media Mechanics, UB RAS, Academician Korolev Street 1, Perm 614013, Russia.

出版信息

Philos Trans A Math Phys Eng Sci. 2023 Apr 17;381(2245):20220091. doi: 10.1098/rsta.2022.0091. Epub 2023 Feb 27.

Abstract

Pattern formation is a widespread phenomenon observed in physical, chemical and biological systems. During the past decades, powerful experimental and theoretical tools for the investigation of that phenomenon have been developed. Also, the set of pattern forming system was diversified. The present issue presents a panorama of pattern formation and other nonlinear dynamical phenomena in different natural and engineering systems. Special attention is paid to nonlinear dynamics of fluids. Non-equilibrium phenomena in chemical and quantum systems are also considered. This article is part of the theme issue 'New trends in pattern formation and nonlinear dynamics of extended systems'.

摘要

模式形成是在物理、化学和生物系统中广泛观察到的现象。在过去的几十年中,已经开发出了用于研究该现象的强大实验和理论工具。同时,模式形成系统的集合也多样化了。本期特刊呈现了不同自然和工程系统中的模式形成和其他非线性动力学现象的全景。特别关注流体的非线性动力学。还考虑了化学和量子系统中的非平衡现象。本文是主题为“扩展系统的新趋势:模式形成和非线性动力学”的一部分。

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Nonlinear three-dimensional patterns of the Marangoni convection in a thin film on a poorly conducting substrate.
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Travelling chimeras in oscillator lattices with advective-diffusive coupling.
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