Chua's circuit equations form an autonomous dynamical system of three coupled first-order ordinary differential equations (Chua et al. 1993, Chua 2007). A dimensionless form is
|
(1)
| |||
|
(2)
| |||
|
(3)
|
where ,
,
and
are the state variables, primes denote derivatives
with respect to dimensionless time
,
and
and
are positive parameters. The odd piecewise
linear function
describes the circuit's nonlinear response,
|
(4)
|
The slope of
is
for
and
for
. The system is invariant under the simultaneous
sign change of
,
, and
.
Its stationary states have the form
with
.
For suitable parameters, the system exhibits a double-scroll
attractor. A trajectory on it winds around two lobes in phase
space (Chua 2007).