四川师范大学学报（自然科学版）2012，Vol.35Issue(2)：288-292,5.DOI:10.3969/j.issn.1001-8395.2012.02.030
一个新的混沌系统及其电路仿真
A New Chaotic System and Its Circuit Emulation
摘要
Abstract
A new three-dimensional autonomous chaotic system is constructed in this paper. The new system contains two parameters and two quadratic cross-product terms. The rich dynamics characteristics of the new system are analyzed by means of theoretical a-nalysis and nonlinear techniques, such as numerical simulations, bifurcation diagram and Lyapunov exponent spectrum. Results show this system is dissipative and it has two unstable equilibrium points. The trajectory is bounded and the new system is chaotic when its parameters satisfy certain conditions. Finally, specific practical electronic circuit is designed according to mathematical model of the new chaotic system and the phase diagrams of the circuit under the chaotic state are given, which agree with the simulation results.关键词
新混沌系统/理论分析/数值仿真/Lyapunov指数谱/分岔图/电路实验Key words
new chaotic system/theoretical analysis/numerical simulation/Lyapunov exponent spectrum/bifurcation digram/circuitry implementation 2000 MSC:65P20分类
数理科学引用本文复制引用
高智中,韩新风,章毛连..一个新的混沌系统及其电路仿真[J].四川师范大学学报（自然科学版）,2012,35(2):288-292,5.基金项目
安徽省高校省级优秀青年人才基金(2012SQRL146)资助项目 （2012SQRL146）
安徽科技学院校自然科学基金(ZRC2010260)对本文给予了资助,谨致谢意. （ZRC2010260）
