Construction of classes of circuit-independent chaotic oscillators using passive-only nonlinear devices
| dc.contributor.author | Elwakil, Ahmed S. | |
| dc.contributor.author | Kennedy, Michael Peter | |
| dc.contributor.funder | Enterprise Ireland | en |
| dc.date.accessioned | 2010-04-27T15:56:08Z | |
| dc.date.available | 2010-04-27T15:56:08Z | |
| dc.date.issued | 2001-03 | |
| dc.date.updated | 2010-04-27T15:38:52Z | |
| dc.description.abstract | Two generic classes of chaotic oscillators comprising four different configurations are constructed. The proposed structures are based on the simplest possible abstract models of generic second-order RC sinusoidal oscillators that satisfy the basic condition for oscillation and the frequency of oscillation formulas. By linking these sinusoidal oscillator engines to simple passive first-order or second-order nonlinear composites, chaos is generated and the evolution of the two-dimensional sinusoidal oscillator dynamics into a higher dimensional state space is clearly recognized. We further discuss three architectures into which autonomous chaotic oscillators can be decomposed. Based on one of these architectures we classify a large number of the available chaotic oscillators and propose a novel reconstruction of the classical Chua's circuit. The well-known Lorenz system of equations is also studied and a simplified model with equivalent dynamics, but containing no multipliers, is introduced | en |
| dc.description.sponsorship | Enterprise Ireland (Basic Research Program Grant SC/98/740) | en |
| dc.description.status | Peer reviewed | en |
| dc.description.version | Published Version | en |
| dc.format.mimetype | application/pdf | en |
| dc.identifier.citation | Elwakil, A.S., Kennedy, M.P., 2001. Construction of classes of circuit-independent chaotic oscillators using passive-only nonlinear devices. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 48(3), pp.289-307. doi: 10.1109/81.915386 | en |
| dc.identifier.doi | 10.1109/81.915386 | |
| dc.identifier.endpage | 307 | en |
| dc.identifier.issn | 1057-7122 | |
| dc.identifier.issued | 3 | en |
| dc.identifier.journaltitle | IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications | en |
| dc.identifier.startpage | 289 | en |
| dc.identifier.uri | https://hdl.handle.net/10468/167 | |
| dc.identifier.volume | 48 | en |
| dc.language.iso | en | en |
| dc.publisher | IEEE | |
| dc.rights | ©2001 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. | en |
| dc.subject | Chaotic oscillators | en |
| dc.subject | Lorenz system | en |
| dc.subject | Chaos | en |
| dc.subject | Chua's circuit | en |
| dc.subject.lcsh | State-space methods | en |
| dc.subject.lcsh | Oscillators, Electric | en |
| dc.title | Construction of classes of circuit-independent chaotic oscillators using passive-only nonlinear devices | en |
| dc.type | Article (peer-reviewed) | en |
