Autonomous third-order duffing-holmes type chaotic oscillator

Erik Lindberg; E Tamaseviciute; G Mykolaitis; S Bumeliene; T Pyragiene; A Tamasevicius; R Kirvaitis

doi:10.1109/ECCTD.2009.5275062

Autonomous third-order duffing-holmes type chaotic oscillator

Erik Lindberg, E Tamaseviciute, G Mykolaitis, S Bumeliene, T Pyragiene, A Tamasevicius, R Kirvaitis

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Abstract

A novel Duffing-Holmes type autonomous chaotic oscillator is described. In comparison with the well-known nonautonomous Duffing-Holmes circuit it lacks the external periodic drive, but includes two extra linear feedback subcircuits, namely a direct positive feedback loop, and an inertial negative feedback loop. In contrast to many other autonomous chaotic oscillators, including linear unstable resonators and nonlinear damping loops, the novel circuit is based on nonlinear resonator and linear damping loop in the negative feedback. SPICE simulation and hardware experimental investigations are presented. The Lyapunov exponents calculated from the rate equations confirm dynamical nature of chaotic oscillations.

Original language	English
Title of host publication	European Conference on Circuit Theory and Design, 2009. ECCTD 2009.
Publisher	IEEE
Publication date	2009
ISBN (Print)	978-1-4244-3896-9
DOIs	https://doi.org/10.1109/ECCTD.2009.5275062
Publication status	Published - 2009
Event	2009 European Conference on Circuit Theory and Design - Divan Talya Hotel, Antalya, Turkey Duration: 23 Aug 2009 → 27 Aug 2009

Conference

Conference	2009 European Conference on Circuit Theory and Design
Location	Divan Talya Hotel
Country/Territory	Turkey
City	Antalya
Period	23/08/2009 → 27/08/2009

Bibliographical note

Copyright: 2009 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 = "Autonomous third-order duffing-holmes type chaotic oscillator",

abstract = "A novel Duffing-Holmes type autonomous chaotic oscillator is described. In comparison with the well-known nonautonomous Duffing-Holmes circuit it lacks the external periodic drive, but includes two extra linear feedback subcircuits, namely a direct positive feedback loop, and an inertial negative feedback loop. In contrast to many other autonomous chaotic oscillators, including linear unstable resonators and nonlinear damping loops, the novel circuit is based on nonlinear resonator and linear damping loop in the negative feedback. SPICE simulation and hardware experimental investigations are presented. The Lyapunov exponents calculated from the rate equations confirm dynamical nature of chaotic oscillations.",

author = "Erik Lindberg and E Tamaseviciute and G Mykolaitis and S Bumeliene and T Pyragiene and A Tamasevicius and R Kirvaitis",

note = "Copyright: 2009 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; 2009 European Conference on Circuit Theory and Design, ECCTD'09 ; Conference date: 23-08-2009 Through 27-08-2009",

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doi = "10.1109/ECCTD.2009.5275062",

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Lindberg, E, Tamaseviciute, E, Mykolaitis, G, Bumeliene, S, Pyragiene, T, Tamasevicius, A & Kirvaitis, R 2009, Autonomous third-order duffing-holmes type chaotic oscillator. in European Conference on Circuit Theory and Design, 2009. ECCTD 2009.. IEEE, 2009 European Conference on Circuit Theory and Design, Antalya, Turkey, 23/08/2009. https://doi.org/10.1109/ECCTD.2009.5275062

TY - GEN

T1 - Autonomous third-order duffing-holmes type chaotic oscillator

AU - Lindberg, Erik

AU - Tamaseviciute, E

AU - Mykolaitis, G

AU - Bumeliene, S

AU - Pyragiene, T

AU - Tamasevicius, A

AU - Kirvaitis, R

N1 - Copyright: 2009 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 - 2009

Y1 - 2009

N2 - A novel Duffing-Holmes type autonomous chaotic oscillator is described. In comparison with the well-known nonautonomous Duffing-Holmes circuit it lacks the external periodic drive, but includes two extra linear feedback subcircuits, namely a direct positive feedback loop, and an inertial negative feedback loop. In contrast to many other autonomous chaotic oscillators, including linear unstable resonators and nonlinear damping loops, the novel circuit is based on nonlinear resonator and linear damping loop in the negative feedback. SPICE simulation and hardware experimental investigations are presented. The Lyapunov exponents calculated from the rate equations confirm dynamical nature of chaotic oscillations.

AB - A novel Duffing-Holmes type autonomous chaotic oscillator is described. In comparison with the well-known nonautonomous Duffing-Holmes circuit it lacks the external periodic drive, but includes two extra linear feedback subcircuits, namely a direct positive feedback loop, and an inertial negative feedback loop. In contrast to many other autonomous chaotic oscillators, including linear unstable resonators and nonlinear damping loops, the novel circuit is based on nonlinear resonator and linear damping loop in the negative feedback. SPICE simulation and hardware experimental investigations are presented. The Lyapunov exponents calculated from the rate equations confirm dynamical nature of chaotic oscillations.

U2 - 10.1109/ECCTD.2009.5275062

DO - 10.1109/ECCTD.2009.5275062

M3 - Article in proceedings

SN - 978-1-4244-3896-9

BT - European Conference on Circuit Theory and Design, 2009. ECCTD 2009.

PB - IEEE

T2 - 2009 European Conference on Circuit Theory and Design

Y2 - 23 August 2009 through 27 August 2009

ER -

Autonomous third-order duffing-holmes type chaotic oscillator

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