Constrained Equation で記述されるカオス発生回路について

概要

論文の詳細を見る
To content of this paper relates to the unsolved important problem that is the proof of the generation of continuous chaos in simple realistic nonlinear circuits. First, the author has proposed a chaos generating circuit which is LC tuning circuit with both linear negative resistor and current controlled nonlinear resistor connected in parallel. The dynamics is described by a third order piecewise linear differential equation including only one nonlinear term and a small parameter ε (a kind of so-called constrained equation). Next, in the case of ε⟶0,the sufficient condition for the generation of continuous chaos is derived analytically, where the definition of continuous chaos is that Poincare Map processes the unique absolutely continuous invariant measure. Moreover, the generation of continuous chaos can be verified experimentally.
湘南工科大学の論文
1986-03-26