Affiliation:
1. School of Mechatronic Engineering and Automation, Foshan University, Foshan, P. R. China
2. School of Medicine, Southern University of Science and Technology, Shenzhen, P. R. China
Abstract
This paper develops an anticontrol approach to design a 3D continuous-time autonomous chaotic system with saddle-focus homoclinic orbit, based on two chaotification criterions for all orbits to be globally bounded with positive Lyapunov exponents. By using the Shil’nikov theorem, a Poincaré return map near the origin is found in the designed controlled system, confirming the existence of chaos in sense of the Smale horseshoe.
Funder
National Natural Science Foundation of China
Natural Science Foundation of Guangdong Province
Science and Technology Foundation Program of Guangzhou
China Postdoctoral Science Foundation
Research on Common Technologies of Intelligent Factories for Discrete Manufacturing Industry Chain
Publisher
World Scientific Pub Co Pte Ltd