Controlling the Chaotic State in Ferromagnetic Response

控制铁磁响应中的混沌状态

• 批准号: 9400263
• 负责人: Philip Wigen
• 金额: --
• 依托单位: Ohio State University Research Foundation -DO NOT USE
• 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 1998-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9400263&HistoricalAwards=false
• 关键词: Controlling; Chaotic; State; Ferromagnetic; Response

9400263 Wigen Technical abstract: Chaos is a complicated and often undesirable behavior. The ability to control chaotic behavior is a special attribute that may be beneficial to many applications. The chaotic attractor includes an infinite number of unstable orbits. By applying a well defined perturbation to a system variable it is possible to control the behavior of a chaotic system by stabilizing one of these unstable orbits. By modifying the perturbation the selected orbit may be varied permitting a variety of orbits that are not readily available in a conventional linear system. It is proposed to utilize perturbation of the magnetic field to control the chaotic behavior observed in the ferromagnetic resonance signal. Non-technical abstract: The complex behavior of a chaotic system is commonly known and widely recognized in many systems from bridges and the weather to heart fibrillation and brain signals. In many systems significant effort is made to eliminate the conditions that lead to this chaotic behavior. However, with the recent evolution of "controlling chaos" it is possible to put the system into one of a number of unstable behavioral patterns that are present in a chaotic system. By applying an appropriate control signal it is possible to stabilize these desired patterns. This behavior leads to an increased flexibility in many systems giving rise to new applications and environments. ***

小行星9400263 技术摘要：混沌是一种复杂的，通常不受欢迎的行为。 控制混沌行为的能力是一个特殊的属性，可能有利于许多应用。 混沌吸引子包含了无穷多个不稳定轨道。 通过对系统变量施加一个定义良好的扰动，可以通过稳定这些不稳定轨道之一来控制混沌系统的行为。 通过修改扰动，可以改变所选择的轨道，从而允许在常规线性系统中不容易获得的各种轨道。 提出了利用磁场的扰动来控制在铁磁共振信号中观察到的混沌行为。 非技术摘要：混沌系统的复杂行为是众所周知的，并在许多系统中得到广泛认可，从桥梁和天气到心脏纤颤和大脑信号。 在许多系统中，为了消除导致这种混沌行为的条件，人们做出了巨大的努力。 然而，随着“控制混沌”的最新发展，有可能将系统置于混沌系统中存在的许多不稳定行为模式之一中。 通过施加适当的控制信号，可以稳定这些期望的图案。 这种行为导致许多系统的灵活性增加，从而产生新的应用程序和环境。 ***