Lattice Dynamical Systems

Lattice Dynamical Systems
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DOI:
10.1007/978-94-010-0732-0_3
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发表时间:
2001
期刊:
--
影响因子:
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通讯作者:
L. Bunimovich
L. Bunimovich
中科院分区:
其他
文献类型:
--
作者:
L. Bunimovich

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格动力系统(LDS)是一类介于偏微分方程和元胞自动机之间的扩展系统。虽然最近才介绍,LDS已经帮助澄清了一些模糊的概念和想法,形成了现代现象学时空动力学理论的基础。我们讨论了一些严格的结果,已经在这方面取得了进展。
Lattice Dynamical Systems (LDS) form a class of extended systems that is intermediate between partial differential equations and cellular automata. Although introduced rather recently, LDS have already helped to clarify some vague notions and ideas that form the basis of the modern phenomenological theory of spatio-temporal dynamics. We discuss some rigorous results that have been obtained in this area.