Second Generation Miscellaneous Linear/Nonlinear Applications of Various Types of Current Conveyors - Current Conveyors: Variants, Applications and Hardware Implementations - page 511

R 2

R 1

R

z +

y z +

y

y

y

z − z +

DOCCII

+ +

C 1 C 2

DOCCII

DOCCII

V c1 V c2

C L

DOCCII
z +

I L

− −

z − x z −

x

z − x

x

I k

R 4

R L1 R 3

R L2

Fig. 15.18 Current mode Chua s oscillator proposed by Gandhi (Adapted from [ 24 ] 2005

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Springer Science + Business Media)

available as a current output is made from two DOCCII two grounded resistors and
a grounded capacitor is analogous to the three CFOA based inductance simulator
employed in Senani, Gupta implementation [ 25 ] with inductive current available
from the Z output of one of the CFOAs therein.
Gandhi has demonstrated that with DOCCIIs replaced by multiple output CCII, a
MOCCII based Chua s oscillator is obtained which can be very easily adopted to

create hyper chaotic circuits by appropriate connections and couplings of several
such units together with a considerable reduced hardware as compared to other
available solutions for generating hyper chaos.

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15.11 Realization of Chua Family of Nonlinear Network
Elements: Mutators, Rotators, Reflectors
and Scalars

Mutators : Chua introduced four new network elements namely, the mutator, the
scalor, the reflector and the rotator [ 26 , 27 ] which have been found to be quite
useful in nonlinear network synthesis. Three basic mutators were defined originally:
the C-R mutator, the L-C mutator and the L-R mutator. The first one transforms a
nonlinear resistance into a nonlinear capacitance, the second converts a nonlinear
capacitance into nonlinear inductance and the last one transforms a nonlinear
resistance into nonlinear inductance. Some of the mutators can be related to the
class of active elements known as generalized impedance converters/inverters
(GIC/GII) but all mutators are not equivalent to GIC/GII.
The mutators are normally characterized by transmission matrices and based
upon the fact that more than one characterization is possible to achieve an intended
mutation , the basic types of mutators have been further classified into C-R-mutator
type1, C-R-mutator type 2, L-R mutator type 1, L-R-mutator type 2, L-C-mutator
type 1 and L-C-mutator type 2. Later on, the concept of mutators had even been
extended beyond the territory of R, L, C elements to the domain of FDNR
(an element having Z(s)

1/Ds 2 ) and FDNC (an element having Z(s) Ms 2 )

¼ ¼