The author of this article considers a numerical method that uses high-precision calculations to construct approximations attractors dynamical systems chaotic type with quadratic right-hand side, as well find the vertical asymptotes solutions explosive type. A special case such is population explosion model. theorem on existence proved. extension for piecewise smooth described using Chua system...

We investigate a modified Murali-Lakshmanan-Chua(MLC) circuit in which the Chua’s diode is replaced with a negative conductance and pair of diode as a nonlinearity. The dual nature of this circuit exhibiting the rich dynamics of both the MLC circuit and the Duffing van der Pol is also explored. The performance of the circuit is investigated by means of laboratory experiments, numerical integrat...

This paper reports the finding of a 3-scroll chaotic attractor with only three equilibria obtained via direct modification of Chua’s circuit. In addition, it is shown numerically that the new system can also generate one-scroll and two-scroll chaotic attractors. PACS numbers: 05.45.-a, 05.45.Gg.