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; 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.

9505343 Hairston Hairston博士要求为一个小型探索性研究（SGER）提供资金，该项目有很大的潜力将研究混乱的研究转移到新领域：对检测非线性和混乱的方法的真实实验验证。 最终目标是开发确定混乱是否构成自然种群动态的方法。 在这个项目中，真实的生物将用于创建可以表现出复杂非线性动力学（混乱或复杂的周期性振荡）的数据集。 这些数据将用于实验测试现有的和新方法，以表征复杂的动力学。 实验系统是一种单态化学固化培养物及其藻类食品，其营养限制藻类生长的供应速率可变。 有实验证据表明该系统可以表现出捕食者旋转。 数学理论表明，这种振荡可以通过脉冲或定期变化的养分供应速率驱动到复杂的模式锁定振荡中，并最终驱动到混乱中。 SGER资金将用于为期一年的试点研究，以证明：构建和维护实验系统的可行性；改变条件以获得有用的人群动态；并进行实验。 这些将是第一项研究，其中旨在用于自然种群的统计方法是通过对实际生物的实验来验证的。 与使用模拟数据相比，这是迈向现实的主要一步。