A STUDY OF THE COEXISTENCE OF THREE TYPES OF ATTRACTORS IN AN AUTONOMOUS SYSTEM

作者：Braga Denis De Carvalho^*; Mello Luis Fernando

来源：International Journal of Bifurcation and Chaos, 2013, 23(12): 1350203.

DOI：10.1142/S0218127413502039

• Equilibrium point
• limit cycle
• chaotic attractor
• degenerate Hopf bifurcation

In this paper, we study the coexistence of three types of attractors in an autonomous system in R-3: an equilibrium point, a limit cycle and a chaotic attractor. We give an analytical proof of the mechanism for the birth of two different types of these attractors.

• 出版日期2013-12