| Abstract: | This paper proposes a new robust chaotic system of three-dimensionalquadratic autonomous ordinary differential equations by introducingan exponential quadratic term. This system can display adouble-scroll chaotic attractor with only two equilibria, and can befound to be robust chaotic in a very wide parameter domain withpositive maximum Lyapunov exponent. Some basic dynamical propertiesand chaotic behaviour of novel attractor are studied. By numericalsimulation, this paper verifies that the three-dimensional systemcan also evolve into periodic and chaotic behaviours by a constantcontroller. |
