Hyperchaotic circuit with damped harmonic oscillators

Erik Lindberg; K. Murali; A. Tamasevicius

doi:10.1109/ISCAS.2001.921443

Hyperchaotic circuit with damped harmonic oscillators

Erik Lindberg
, K. Murali
, A. Tamasevicius

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

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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.

Original language	English
Title of host publication	Proceedings on The 2001 IEEE International Symposium on Circuits and Systems
Volume	2
Publication date	2001
Pages	759-762
ISBN (Print)	0-7803-6685-9
DOIs	https://doi.org/10.1109/ISCAS.2001.921443
Publication status	Published - 2001
Event	2001 IEEE International Symposium on Circuits and Systems - Sydney, Australia Duration: 6 May 2001 → 9 May 2001

Conference

Conference	2001 IEEE International Symposium on Circuits and Systems
Country/Territory	Australia
City	Sydney
Period	06/05/2001 → 09/05/2001

Bibliographical note

Copyright: 2000 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE

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title = "Hyperchaotic circuit with damped harmonic oscillators",

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.",

author = "Erik Lindberg and K. Murali and A. Tamasevicius",

note = "Copyright: 2000 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE; 2001 IEEE International Symposium on Circuits and Systems, ISCAS 2001 ; Conference date: 06-05-2001 Through 09-05-2001",

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AU - Murali, K.

AU - Tamasevicius, A.

N1 - Copyright: 2000 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE

PY - 2001

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N2 - 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.

AB - 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.

U2 - 10.1109/ISCAS.2001.921443

DO - 10.1109/ISCAS.2001.921443

M3 - Article in proceedings

SN - 0-7803-6685-9

VL - 2

SP - 759

EP - 762

BT - Proceedings on The 2001 IEEE International Symposium on Circuits and Systems

T2 - 2001 IEEE International Symposium on Circuits and Systems

Y2 - 6 May 2001 through 9 May 2001

ER -

Hyperchaotic circuit with damped harmonic oscillators

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