The double hook [nonlinear chaotic circuits]

Author

Bartissol, Philippe ; Chua, Leon O.

Author_Institution

Electron. Res. Lab., California Univ., Berkeley, CA, USA

Volume

35

Issue

12

fYear

1988

fDate

12/1/1988 12:00:00 AM

Firstpage

1512

Lastpage

1522

Abstract

A new strange attractor exhibited by the same dynamic equation governing L.O. Chua´s circuit (ibid., vol.CAS-33, p.1073-118, Nov. 1986) but with a totally different parameter set is described. The main difference between the new double-hook attractor and the double scroll is that the vector field of the new attractor has three real eigenvalues at the origin, as opposed to the one real and the two complex eigenvalues of the double scroll. The bifurcation sequence appears to differ considerably from the period-doubling route to chaos observed in the double scroll. The authors focus on the circuit realization of this attractor and reconcile experimental observations with theoretical predictions and computer simulations of its structure

Keywords

chaos; eigenvalues and eigenfunctions; nonlinear network analysis; bifurcation sequence; chaos; circuit realization; double-hook attractor; nonlinear chaotic circuits; real eigenvalues; strange attractor; vector field; Chaos; Circuits; Computer simulation; Differential equations; Eigenvalues and eigenfunctions; Helium; Impedance; Nonlinear equations; Piecewise linear techniques; Resistors;

fLanguage

English

Journal_Title

Circuits and Systems, IEEE Transactions on

Publisher

ieee

ISSN

0098-4094

Type

jour

DOI

10.1109/31.9914

Filename

9914