A circuit for automatic measurement of bifurcation diagram in nonlinear electronic oscillators.
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Date
2016
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Abstract
Experimental bifurcation diagram is very helpful to
describe the global behaviour of nonlinear electronic oscillators.
The diagram allows insight gain of the oscillators behaviour for a
parameter variation. However, when the bifurcation parameter is
a resistance, experimental bifurcation diagrams are hard to
achieve. In this case, if the potentiometer resistance has been used
to change the gain, it is possible to replace the potentiometer by an
alternative circuit using operational transconductance amplifier.
This kind of circuit is presented in this work and experimental
results are provided to piecewise affine Rössler electronic
oscillator. The results obtained show a very good matching with
the theoretical diagram. Then, if the bifurcation parameter is a
resistance, voltage or current, we have implemented a circuit to
extract the experimental bifurcation diagram of all nonlinear
electronic oscillators.
Description
Keywords
Operational Transconductance Amplifiers, Automatic gain control, Nonlinear dynamical systems
Citation
RICCO, R. A.; VERLY, A.; AMARAL, G. F. V. A circuit for automatic measurement of bifurcation diagram in nonlinear electronic oscillators. Revista IEEE América Latina, v. 14, p. 3042-3047, 2016. Disponível em: <http://ieeexplore.ieee.org/document/7587600/>. Acesso em: 02 out. 2017.