Vv. Bykov, ON BIFURCATIONS LEADING TO CHAOS IN CHUAS CIRCUIT, International journal of bifurcation and chaos in applied sciences and engineering, 8(4), 1998, pp. 685-699
Bifurcations and the structure of limit sets are studied for a three-d
imensional Chua's circuit system with a cubic nonlinearity. On the bas
e of both computer simulations and theoretical results a model map is
proposed which allows one to follow the evolution in the phase space f
rom a simple (Morse-Smale) structure to chaos. It is established that
the appearance of a complex, multistructural set of double-scroll type
is stimulated by the presence of a heteroclinic orbit of intersection
of the unstable manifold of a saddle periodic orbit and unstable mani
fold of an equilibrium state of saddle-focus type.