Conference paper
Autonomous third-order duffing-holmes type chaotic oscillator
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.
Language: | English |
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Publisher: | IEEE |
Year: | 2009 |
Pages: | 663-666 |
Proceedings: | 2009 European Conference on Circuit Theory and Design |
ISBN: | 1424438969 and 9781424438969 |
Types: | Conference paper |
DOI: | 10.1109/ECCTD.2009.5275062 |
ORCIDs: | Lindberg, Erik |
Chaos Circuit simulation Damping Feedback circuits Feedback loop Hardware Lyapunov exponents Negative feedback Negative feedback loops Oscillators SPICE SPICE simulation autonomous third-order Duffing-Holmes type chaotic oscillator chaotic oscillators damping direct positive feedback loop inertial negative feedback loop linear damping loop linear feedback subcircuits nonlinear dynamics nonlinear resonator oscillators