organic chaotic circuit - phd.dees.unict.it
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UNIVERSITA’ DEGLI STUDI DI CATANIA
FACOLTA’ DI INGEGNERIAPhD course in Systems Engineering
XXVI cycleDIPARTIMENTO DI INGEGNERIA ELETTRICA ELETTRONICA E INFORMATICA
XXII Brainstorming Day
Lucia Valentina Gambuzza
Catania , 20 Maggio 2011
Coordinator Prof. Ing. Luigi Fortuna
Tutor Ing. Mattia Frasca
Nonlinear circuits based on
organic technology
Organic technology
Organic chaotic circuits for traceability of agricultural products
Colpitts oscillator
Design of the chaotic and periodic oscillator based on single transistor
Network of Colpitts oscillators.
Design and implementation of circuits with minimum number of
components: the memristor
Memristive chaotic circuit
Chua’s circuitNew circuitry based
on memristors,
memcapacitors and
meminductors
Design of chaotic
circuit based on
single transitor:
Colpitts oscillator
R L C
DIMATIX DMP-3000 can be used to
create electrical circuits using
organic semiconductor material and
inorganic electronic fluids, on both
rigid and flexible substrates.
Partner
University of
Novi SadPlanning of the activities
Organic chaotic circuits for traceability of
agricultural products
Identifiability and traceability of
agricultural products
Definition of new techniques
based on chaotic systems
Organic chaotic circuits
Synchronization technique
Organic
chaotic circuit
The product contains a tag equipped with a circuit showing
chaotic dynamics when activated by an external generator
The dynamical information embedded in it can be decoded
only in presence of a circuit which can be synchronized to it
Organic chaotic circuits for traceability
of agricultural products
Limited life-cycle cells
Organic chaotic
circuit - master
Reader Product tag
Organic chaotic
circuit - slaveReading
Power
The slave is a limited life-cycle chaotic circuit
It is powered only when reading is needed
How does the chaotic attractor evolve when power supply changes?
Design of organic chaotic circuits: different
approaches
◦ Single transistor circuits
◦ Colpitts oscillator
◦ OpAmp-based circuits
◦ Circuits based on memristors
Topology of the chaotic circuit based
on single transistor
1 BJT
2 capacitors
1 inductor
2 resistors
Colpitts oscillator – nMOS pMOS
1 MOS, 2 capacitors, 1 inductor, 2
resistors
Colpitts oscillator - BJT
Single transistor oscillatorsColpitts oscillator -
nMOS
Colpitts oscillator -
pMOS
Colpitts oscillator - BJT
1 BJT
2 Capacitors
1 Inductor
2 resistors
Network of three Colpitts oscillators
1 3 2• F1=15kHz
• F3=10kHz
• F2=5kHz
M. Frasca, L. V. Gambuzza, L. Fortuna,
S. Boccaletti, Experimental observations
of synchronization interfaces in
networks of oscillators, ISSCS 2011.
Network of three Colpitts oscillators
•This corresponds to the case of
uncoupled circuits.
•The interface frequency has fast
oscillations between the frequency of the
oscillator 1 and oscillator 2
•Oscillator 3 is strongly coupled with
oscillator 1 and weakly coupled with
oscillator 2
Network of ten Colpitts oscillators
•When uncoupled, the Colpitts oscillators of the network have different
frequencies, distributed uniformly in the interval [11.4kHz, 14.4kHz] with a mean
value equal to 12.8kHz.
•When coupled into the network two communities of synchronized nodes arise.
•While the nodes within each of the two communities are synchronized, the
interface nodes oscillate with a not constant frequency.
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Dynamics of overlapping structures
in modular network
Recent studies have highlighted the
importance of modular overlapping,
as a possible mechanism through
which networking systems are able
to perform parallel tasks in a
coordinated way.
We investigated a network of
nonlinear circuits with the aim of
focusing on experimental evidences
of the interface behavior observed
in numerical simulations of coupled
dynamical systems.
The memristor is a two-terminal
element, described by a nonlinear
i − v characteristic as:
v = M(q)i, or i = W(φ)v,
where v, i, q, and φ are the
voltage, the current, the charge
and the flux associated to the
device, M(q) is the memristance
and W(φ) is the memductance
defined as:
M(q)= dφ(q)/d(q)
W(φ)= dq(φ)/dφ
Memristive chaotic circuits based on CNN
Memristor
Memristive chaotic circuits based on
CNN
The parameters leading to a chaotic
behavior in the memristive Chua’s
oscillator are: = 10, = 13, = 0.35,
= 1.5, c = 0.3 and d = 0.8.
Courses-Sistemi complessi adattativi, Prof. L. Fortuna
-Elementi di Fisica Statistica e Sistemi Dinamici, Prof. V. Latora
Publications-L. Fortuna, M. Frasca, L. V. Gambuzza, A. Sarra Fiore, R. S. Ali, M. T. Rashid,Analysis of the determinism of time-series extracted from social and biologicalsystems, accepted for oral presentation at the IEEE 1st International Conference onEnergy, Power and Control (EPC-IQ'01), 30 nov.-2 dec., 2010.
-A. Buscarino, L.Fortuna, M. Frasca, L. V. Gambuzza, G. Sciuto, Memristivechaotic circuits based on cellular nonlinear networks, International Journal ofBifurcation and Chaos (accepted).
-M. Frasca, L. V. Gambuzza, L. Fortuna, S. Boccaletti, Experimental observationsof synchronization interfaces in networks of oscillators, ISSCS 2011.