Ordering Mechanisms in Dynamical Systems

动力系统中的排序机制

• 批准号: 9412416
• 负责人: Joshua Socolar
• 金额: $ 13.5万
• 依托单位: Duke University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1994
• 资助国家: 美国
• 起止时间: 1994-08-01 至 1998-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9412416&HistoricalAwards=false
• 关键词: Ordering; Mechanisms; Dynamical; Systems

9412416 This grant is supported jointly by the Materials Theory Program in the Division of Materials Research and the Mathematical Physics Activity in the Physics Division. The theoretical research concerns several different mechanisms that may play a role in generating spatial or temporal order in systems governed by simple dynamical rules. The emphases are on controlling chaos in high- frequency systems and spatiotemporally complex systems and on coherent global oscillations and self-organized critical correlations in slowly driven dynamical systems. Immediate goals include a more complete understanding of a novel technique for controlling chaos using continuous feedback, the development of tests for detecting this type of control mechanism in natural systems, and the analysis of simple models of sandpiles that exhibit global oscillations and novel forms of self-organized critical behavior. %%% This theoretical research is in the general area of nonlinear science and is jointly supported by the Physics and Materials Research Divisions. The work focuses on a class of problems which are governed by simple local rules. The work may impact the design of individual semiconductor laser devices, the design of feedback mechanisms for inducing coherence in arrays of such lasers or arrays of Josephson junctions, and better methods for characterizing the instabilities observed in natural dynamical systems ranging from cardiac chaos to avalanches in granular materials.

9412416该补助金由材料研究部的材料理论计划和物理部的数学物理活动共同支持。 理论研究涉及几种不同的机制，这些机制可能在由简单动力学规则控制的系统中产生空间或时间秩序中发挥作用。 重点是控制高频系统和时空复杂系统中的混沌，以及慢驱动动力系统中的相干全局振荡和自组织临界关联。 近期目标包括更全面地了解使用连续反馈控制混沌的新技术，开发用于检测自然系统中这种控制机制的测试，以及分析具有全局振荡和自组织临界行为新形式的沙堆的简单模型。 这项理论研究属于非线性科学的一般领域，由物理和材料研究部门共同支持。 这项工作的重点是一类问题是由简单的本地规则。 这项工作可能会影响个别半导体激光器的设计，反馈机制的设计，以诱导这种激光器阵列或约瑟夫森结阵列的相干性，以及更好的方法来表征自然动态系统中观察到的不稳定性，从心脏混乱到颗粒材料中的雪崩。