@book{fc7527b0f1c74e5e9e76c3d39c450e6f,

title = "Exploring nonlinearity by feedback",

abstract = "The possibilities of studying nonlinear physical systems by small feedback action are discussed. Analytical bounds of possible system energy change by feedback are established. It is shown that for 1-DOF nonlinear oscillator the change of energy by feedback can reach the limit achievable for linear oscillator by harmonic (nonfeedback) action. The results are applied to different physical problems: evaluating the amplitude of action causing the escape from a potential well; stabilizing unstable modes of nonlinear oscillator (pendulum); using feedback testing signals in spectroscopy. These and related investigations are united by similarity of goals: studying possibilities and limitations of changing system behavior by feedback and by unified methodology borrowed from cybernetics (control science). They therefore constitute a part of physics which can be called {\em cybernetical physics}.",

keywords = "MSC-93D30, MSC-70H05, MSC-58F05, MSC-93C10",

author = "Fradkov, {Alexander L.}",

year = "1998",

language = "English",

series = "Memorandum",

publisher = "University of Twente, Department of Applied Mathematics",

number = "1447",

}