IGERT - Program in Nonlinear Systems

IGERT - 非线性系统程序

• 批准号: 0333366
• 负责人: John Guckenheimer
• 金额: $ 333.88万
• 依托单位: Cornell University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2003
• 资助国家: 美国
• 起止时间: 2003-10-01 至 2010-09-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0333366&HistoricalAwards=false
• 关键词: IGERT; Program; Nonlinear; Systems

The Cornell University IGERT Program in Nonlinear Systems supports graduate education and research in the area of complex nonlinear systems. The research component of the program will be organized around interdisciplinary groups (IRTG) comprising faculty with expertise in theoretical, computational and empirical science, who will jointly mentor graduate student fellow projects. The research areas of the initial IRTG, including areas of applications, are (i) networks (social networks, gene networks, internet, electric power grid); (ii) gene regulation (cell signaling and gene expression networks); (iii) moving machines and organisms (manual dexterity and control of locomotion); and (iv) biological pattern formation (cardiac electrophysiology).Nonlinear science has been a role model for interdisciplinary research. Principles arising from dynamical systems theory have revealed common features in seemingly unrelated phenomena across the breadth of science and engineering. The intellectual merit of this project lies in the extension of successful strategies employed in nonlinear dynamics to confront increasingly complex systems. A primary goal of the research is to understand how systems, especially those arising in the life sciences, can be more than the sum of their parts. For example, legged locomotion and manual dexterity will be studied through a combination of mechanical devices, observation of human and animal behavior and computer models. The broader impacts of this research will be in improving the performance of robots and the treatment of physical injuries. Another theme that will be explored is how network architecture influences dynamics of a system. The concept of small world networks, developed by the founder of this IGERT Program, Steve Strogatz and his students, has already influenced research on biological, social and communication networks. Applied to the internet, the results of this research facilitate efficient web searches. In general, the program will have broad impact in developing methods to predict the dynamics of complex systems, taking full account of underlying network structures and making extensive use of experimental data. The primary mechanism of the IGERT program is the engagement of Ph.D. students in nonlinear systems research early in their studies. The program involves students in the conceptual phases of research, and it encourages faculty to develop long term collaborations, stimulated by their joint mentorship of students in the IRTG. The most direct impact of the program is in training a new generation of scientists with broad interests and expertise. In the words of a former IGERT fellow, "graduate students who go through the IGERT program learn to speak the language of two or more fields with considerable fluency, and all students are introduced to a common mathematical foundation so that even those who do not share the language of a specific field can interact meaningfully."IGERT is an NSF-wide program intended to meet the challenges of educating U.S. Ph.D. scientists and engineers with the interdisciplinary background, deep knowledge in a chosen discipline, and the technical, professional, and personal skills needed for the career demands of the future. The program is intended to catalyze a cultural change in graduate education by establishing innovative new models for graduate education and training in a fertile environment for collaborative research that transcends traditional disciplinary boundaries. In this sixth year of the program, awards are being made to institutions for programs that collectively span the areas of science and engineering supported by NSF.

康奈尔大学IGERT非线性系统项目支持复杂非线性系统领域的研究生教育和研究。该计划的研究部分将围绕跨学科小组（IRTG）组织，由具有理论，计算和实证科学专业知识的教师组成，他们将共同指导研究生研究员项目。最初的IRTG的研究领域，包括应用领域，是（i）网络（社交网络、基因网络、因特网、电网）;（ii）基因调控（细胞信号和基因表达网络）;（iii）移动机器和生物体（手的灵活性和运动的控制）;以及（iv）生物模式形成（心脏电生理学）。非线性科学一直是跨学科研究的榜样。从动力系统理论中产生的原理揭示了科学和工程领域中看似无关的现象的共同特征。 这个项目的智力价值在于扩展非线性动力学中的成功策略，以应对日益复杂的系统。该研究的主要目标是了解系统，特别是生命科学中出现的系统，如何能够超过其部分的总和。例如，将通过结合机械装置、观察人类和动物行为以及计算机模型来研究腿部运动和手动灵活性。这项研究的更广泛影响将是改善机器人的性能和身体伤害的治疗。将探讨的另一个主题是网络架构如何影响系统的动态。由IGERT项目创始人Steve Strogatz和他的学生提出的小世界网络概念已经影响了生物、社会和通信网络的研究。应用于互联网，这项研究的结果促进了高效的网络搜索。总的来说，该计划将在开发预测复杂系统动力学的方法方面产生广泛的影响，充分考虑底层网络结构并广泛使用实验数据。IGERT计划的主要机制是博士的参与。非线性系统研究的学生在他们学习的早期。该计划涉及研究的概念阶段的学生，它鼓励教师发展长期合作，由他们在IRTG的学生联合导师刺激。该计划最直接的影响是培养具有广泛兴趣和专业知识的新一代科学家。用IGERT前研究员的话说，“通过IGERT课程的研究生学习说两个或更多领域的语言，并且所有学生都被介绍给一个共同的数学基础，以便即使是那些不分享特定领域语言的人也可以进行有意义的互动。IGERT是一个NSF范围内的项目，旨在应对教育美国博士学位的挑战。具有跨学科背景的科学家和工程师，在所选学科的深厚知识，以及未来职业需求所需的技术，专业和个人技能。该计划旨在通过建立创新的研究生教育和培训新模式，在超越传统学科界限的合作研究的肥沃环境中促进研究生教育的文化变革。在该计划的第六个年头，奖项正在颁发给那些共同跨越NSF支持的科学和工程领域的计划机构。