Existence of heteroclinic orbits in a novel three-order dynamical system.

Autor: Yu, Hu, Le-Quan, Min, Ping, Zhen
Předmět:
Zdroj: Chinese Physics B; Nov2013, Vol. 22 Issue 11, p110502-110508, 7p
Abstrakt: In this paper, we design a novel three-order autonomous system. Numerical simulations reveal the complex chaotic behaviors of the system. By applying the undetermined coefficient method, we find a heteroclinic orbit in the system. As a result, the Ši'lnikov criterion along with some other given conditions guarantees that the system has both Smale horseshoes and chaos of horseshoe type. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index