Controlling the Chaotic State in Ferromagnetic Response

[9400263]维根技术摘要：混沌是一种复杂且往往不受欢迎的行为。控制混沌行为的能力是一种特殊的属性，可能对许多应用都是有益的。混沌吸引子包含无限数量的不稳定轨道。通过对系统变量施加定义良好的扰动，可以通过稳定其中一个不稳定轨道来控制混沌系统的行为。通过修改摄动，所选轨道可以改变，允许在常规线性系统中不易获得的各种轨道。提出利用磁场扰动来控制铁磁共振信号的混沌行为。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颤动和大脑信号。在许多系统中，人们付出了巨大的努力来消除导致这种混沌行为的条件。然而，随着最近“控制混沌”的发展，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。通过应用适当的控制信号，可以稳定这些期望的模式。这种行为增加了许多系统的灵活性，从而产生了新的应用程序和环境。＊＊＊

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. ***