华中师范大学学报(自然科学版)2018,Vol.52Issue(2):188-193,6.DOI:10.19603/j.cnki.1000-1190.2018.02.006
一种非对称多吸引子的共存现象及其硬件实验验证
A kind of coexisting phenomenon of asymmetric multiple attractors and its hardware experiment conformation
摘要
Abstract
Coexisting multiple attractors with multiple steady states is a special phenomenon of nonlinear dynamical systems,which offers great flexibility in engineering applications and receives much attention by international and domestic academics in recent years.A kind of novel coexisting phenomenon of asymmetric multiple attractors has been reported in the recent literature.Based on the proposed hypogenetic Jerk dynamical system,stability analysis of the system equilibrium points is performed,and bifurcation analyses with the variations of system parameters and initial conditions are carried out by using dynamical methods including bifurcation diagram,Lyapunov exponent spectrum,and phase portrait,from which the forming mechanism of coexisting asymmetric multiple attractors is elaborated.Meanwhile,a hardware circuit is designed and fabricated,upon which the experimental results effectively verify the truth of coexisting asymmetric multiple attractors.关键词
共存多吸引子/退化Jerk系统/平衡点/硬件实验Key words
Coexisting multiple attractors/hypogenetic Jerk system/equilibrium point/hardware experiment分类
信息技术与安全科学引用本文复制引用
陆海空,王露,武花干..一种非对称多吸引子的共存现象及其硬件实验验证[J].华中师范大学学报(自然科学版),2018,52(2):188-193,6.基金项目
国家自然科学青年基金项目(51607013) (51607013)
江苏高校品牌专业建设工程项目(PPZY2015C237). (PPZY2015C237)