Study of dynamics of a fourth-order autonomous nonlinear electric circuit

Author

Stouboulos, I.N. ; Kyprianidis, I.M.

Author_Institution

Dept. of Phys., Aristotelian Univ. of Thessaloniki, Greece

Volume

2

fYear

1997

fDate

2-4 Jul 1997

Firstpage

715

Abstract

We study the dynamics of a fourth-order autonomous nonlinear electric circuit with two active elements, one linear negative conductance and one nonlinear resistor with a symmetrical piecewise linear V-I characteristic. Using the capacitances C₁ and C ₂ as the control parameters, we observe antimonotonicity, a reverse period-doubling sequence, as well as a crisis-induced intermittency, when the spiral attractor suddenly widens to a double-scroll attractor. The control of chaotic behavior using an external sinusoidal signal reveals, that there is an optimum (minimum) value of the amplitude, which leads the circuit to a period-1 steady state

Keywords

active networks; bifurcation; capacitance; chaos; dynamics; electric admittance; nonlinear network analysis; piecewise-linear techniques; active elements; amplitude; antimonotonicity; bifurcation; capacitances; chaotic behavior control; control parameters; crisis-induced intermittency; double-scroll attractor; dynamics; fourth-order autonomous nonlinear electric circuit; linear negative conductance; nonlinear resistor; period-1 steady state; reverse period-doubling sequence; sinusoidal signal; spiral attractor; symmetrical piecewise linear V-I characteristic; Bifurcation; Capacitance; Chaos; Circuits; Laboratories; Logistics; Nonlinear dynamical systems; Orbits; Resistors; Spirals;

fLanguage

English

Publisher

ieee

Conference_Titel

Digital Signal Processing Proceedings, 1997. DSP 97., 1997 13th International Conference on

Conference_Location

Santorini

Print_ISBN

0-7803-4137-6

Type

conf

DOI

10.1109/ICDSP.1997.628452

Filename

628452