Generation of grid multi-scroll chaotic attractors via switching piecewise linear controller |
| |
Authors: | Chaoxia Zhang Simin Yu |
| |
Institution: | College of Automation, Guangdong University of Technology, Guangzhou 510006, China |
| |
Abstract: | In this Letter, a novel method is developed for generating grid multi-scroll chaotic attractors using switching piecewise linear controller. First, a third-order linear system is designed to ensure that its unique equilibrium point belongs to a saddle-focus type with index 2 and the corresponding eigenvalues satisfy Shilnikov conditions. Then, by three different types of switching control strategies, the equilibrium point can be extended along both xy plane and z axis direction, so as to generate grid multi-scroll chaotic attractors. The dynamical behaviors are further analyzed. Moreover, an improved module-based circuit is designed for realizing 5×3 and 4×4 grid scroll chaotic attractors, and the experimental results are also obtained, which is consistent with the numerical simulations. |
| |
Keywords: | Third-order linear system Switching control Grid multi-scroll chaotic attractor Circuit realization |
本文献已被 ScienceDirect 等数据库收录! |
|