SGER: Real-Population Data for Evaluating Chaos-Detection Methods

SGER：用于评估混沌检测方法的真实人口数据

• 批准号: 9505343
• 负责人: Nelson Hairston
• 金额: --
• 依托单位: Cornell University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1995
• 资助国家: 美国
• 起止时间: 1995-04-01 至 1996-03-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9505343&HistoricalAwards=false
• 关键词: SGER; Real; Population; Data; Evaluating

9505343 Hairston Dr. Hairston requests funding for a Small Grant for Exploratory Research (SGER) for a project which has great potential to move research on chaos to a new arena: real experimental validation of methods for detecting nonlinearity and chaos. The ultimate goal is the development of methods for determining whether chaos underlies the dynamics of natural populations. In this project, real organisms will be used to create data sets that demonstrably exhibit complex nonlinear dynamics (either chaos or complicated periodic oscillations). These data will be used to experimentally test existing and new methods for characterizing complex dynamics. The experimental system is a single-state chemostat culturing rotifers and their algal food with variable supply rate of the nutrient limiting algal growth. There is experimental evidence that this system can exhibit predator-prey oscillation. Mathematical theory suggests that such oscillations can be driven into complex mode-locking oscillations, and eventually into chaos, by pulsed or periodically varying nutrient supply rate. SGER funding will be used for a one-year pilot study to demonstrate the feasibility to: construct and maintain the experimental system; vary conditions to obtain useful population dynamics; and conduct experiments. These will be the first studies in which statistical methods, intended for use on natural populations, are validated through experiments on real organisms. This represents a major step towards reality, compared with conventional tests using simulated data.

小行星9505343 Hairston博士请求为探索性研究（SGER）的一个项目提供资金，该项目具有将混沌研究转移到一个新的竞技场的巨大潜力：检测非线性和混沌的方法的真实的实验验证。 最终目标是发展确定自然种群动态是否是混沌的基础的方法。 在这个项目中，将使用真实的生物体来创建数据集，这些数据集可证明表现出复杂的非线性动力学（混沌或复杂的周期性振荡）。 这些数据将用于实验测试现有的和新的方法来表征复杂的动态。 实验系统是一个单态恒化器，培养轮虫和它们的藻类食物，限制藻类生长的营养盐的供应率是可变的。 有实验证据表明，该系统可以表现出捕食者-食饵振荡。 数学理论表明，这种振荡可以被驱动成复杂的锁模振荡，并最终进入混沌，通过脉冲或周期性变化的营养供应率。 SGER资金将用于一项为期一年的试点研究，以证明以下可行性：构建和维护实验系统;改变条件以获得有用的种群动态;并进行实验。 这将是第一次通过对真实的生物体进行实验来验证用于自然种群的统计方法的研究。 与使用模拟数据的传统测试相比，这是迈向现实的重要一步。