现代电子技术
現代電子技術
현대전자기술
MODERN ELECTRONICS TECHNIQUE
2014年
1期
83-85,89
,共4页
指数混沌%Logistic映射%动力学特性%序列性能分析
指數混沌%Logistic映射%動力學特性%序列性能分析
지수혼돈%Logistic영사%동역학특성%서렬성능분석
exponential chaos%Logistic map%dynamic characteristics%sequence performance analysis
针对Logistic映射参数简单、混沌区间范围小的缺点,提出一种新型的离散指数混沌映射。通过引入指数项和增加参数个数,进而扩大映射的混沌区间。利用常规的动力学分析方法,对指数混沌映射进行了动力学特性分析,包括Ly-apunov指数图、分岔图等。在此基础上,对Logistic映射和离散指数混沌映射进行了特性比较。最后对由该离散混沌映射产生的序列进行NIST测试,测试结果表明序列性能更良好。
針對Logistic映射參數簡單、混沌區間範圍小的缺點,提齣一種新型的離散指數混沌映射。通過引入指數項和增加參數箇數,進而擴大映射的混沌區間。利用常規的動力學分析方法,對指數混沌映射進行瞭動力學特性分析,包括Ly-apunov指數圖、分岔圖等。在此基礎上,對Logistic映射和離散指數混沌映射進行瞭特性比較。最後對由該離散混沌映射產生的序列進行NIST測試,測試結果錶明序列性能更良好。
침대Logistic영사삼수간단、혼돈구간범위소적결점,제출일충신형적리산지수혼돈영사。통과인입지수항화증가삼수개수,진이확대영사적혼돈구간。이용상규적동역학분석방법,대지수혼돈영사진행료동역학특성분석,포괄Ly-apunov지수도、분차도등。재차기출상,대Logistic영사화리산지수혼돈영사진행료특성비교。최후대유해리산혼돈영사산생적서렬진행NIST측시,측시결과표명서렬성능경량호。
Aiming at the disadvantage of simple parameter and small range of chaotic interval in Logistic map,a new kind of discrete chaotic map with exponent is proposed,which enlarge the range of chaotic interval and increase parameters by intro-ducing the exponential terms. The dynamic characteristic of exponential chaotic mapping is analyzed by conventional kinetic analysis, which includes Lyapunov exponential graph and bifurcation diagram. On this basis,the characteristic of the Logistic map and discrete exponential chaotic map are compared. Finally the sequence generated by the discrete map is tested by NIST,the results indicate that the sequence have a better performance.