一个新类Lorenz混沌系统的动力学分析及电路仿真
일개신류Lorenz혼돈계통적동역학분석급전로방진
Nonlinear dynamics and circuit implementation of a new Lorenz-like attractor
  • 万方数据
    四川大学学报（自然科学版） 사천대학학보（자연과학판）
    JOURNAL OF SICHUAN UNIVERSITY（NATURAL SCIENCE EDITION）
    2008年 5期 1167-1173 ,共7页

    李险峰%褚衍东%徐冬亮%张建刚

    리험봉%저연동%서동량%장건강

    新类Lorenz系统%分岔%混沌%电路实现 新類Lorenz繫統%分岔%混沌%電路實現
    신류Lorenz계통%분차%혼돈%전로실현
    new Lorenz-like system%bifurcation%chaos%circuit implementation
    提出了一个新的三维自治类Lorenz系统,理论分析了该系统的非线性动力学特性.分析了系统在平衡点处的稳定性,以及产生Hopf分岔的条件. 最后对该系统的一个混沌吸引子进行了数值仿真和实际电路模拟.
    제출료일개신적삼유자치류Lorenz계통,이론분석료해계통적비선성동역학특성.분석료계통재평형점처적은정성,이급산생Hopf분차적조건. 최후대해계통적일개혼돈흡인자진행료수치방진화실제전로모의.
    In this paper, a new three dimensional Lorenz-like chaotic system is reported. Nonlinear characteristic and basic dynamic properties of the three-dimensional autonomous system are studied by means of nonlinear dynamics theory, including the stability and the conditions for generating Hopf bifurcation of the equilibria. The chaotic system is not only demonstrated by numerical simulation but also verified with the electronic circuit.
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