organic chaotic circuit - phd.dees.unict.it

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UNIVERSITA’ DEGLI STUDI DI CATANIA FACOLTA’ DI INGEGNERIA PhD course in Systems Engineering XXVI cycle DIPARTIMENTO 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

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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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8

7

6

5

43

21

10

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.

Memristive chaotic circuits based on CNN

Theoretical results Experimental results

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.