Hyperchaotic circuit with damped harmonic oscillators

Author

Lindberg, E. ; Murali, K. ; Tamasevicius, A.

Author_Institution

DTU Dept., Tech. Univ. Denmark, Lyngby, Denmark

Volume

3

fYear

2001

fDate

6-9 May 2001

Firstpage

759

Abstract

A simple fourth-order hyperchaotic circuit with damped harmonic oscillators is described. ANP3 and PSpice simulations including an eigenvalue study of the linearized Jacobian are presented together with a hardware implementation. The circuit contains two inductors with series resistance, two ideal capacitors and one nonlinear active conductor. The Lyapunov exponents are presented to confirm the hyperchaotic nature of the oscillations of the circuit. The nonlinear conductor is realized with a diode. A negative impedance converter and a linear resistor. The performance of the circuit is investigated by means of numerical integration of the appropriate differential equations

Keywords

Jacobian matrices; SPICE; chaos; eigenvalues and eigenfunctions; harmonic oscillators (circuits); negative impedance convertors; nonlinear network analysis; ANP3; Lyapunov exponents; PSpice; damped harmonic oscillators; differential equations; eigenvalue study; fourth-order hyperchaotic circuit; hardware implementation; hyperchaotic nature; ideal capacitors; linear resistor; linearized Jacobian; negative impedance converter; nonlinear active conductor; numerical integration; series resistance; Active inductors; Capacitors; Circuit simulation; Conductors; Diodes; Eigenvalues and eigenfunctions; Hardware; Impedance; Jacobian matrices; Oscillators;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 2001. ISCAS 2001. The 2001 IEEE International Symposium on

Conference_Location

Sydney, NSW

Print_ISBN

0-7803-6685-9

Type

conf

DOI

10.1109/ISCAS.2001.921443

Filename

921443