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利用Maltab求解变参数lorenz方程,在非线性动力学和混沌研究中经常遇到类似的问题。本程序也可以求解类似的有变参数的微分方程系统如Chen system, Lv system, Rossler system 等。-use Maltab variational parameters lorenz equation, Nonlinear Dynamics and Chaos often encountered similar problems. The procedures also can
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用matlab分析典型的洛伦茨动力系统的性质,讨论混沌分型等非线性系统的性质。-Matlab analysis with the typical nature of the Lorenz dynamical system discussed such chaos type properties of nonlinear systems.
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以上是驱动系统的混沌微分方程的matlab源程序-The above is the chaos of driving system of differential equation of the source program
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可以直接画出lorenz系统在各种参数下的3D演化吸引子和分叉图-Can directly draw the evolution of the the lorenz system in the various parameters of the 3D attractor bifurcation diagram
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实现一个洛伦兹混沌系统,以供用来学习和参考。-Realize lorenz chaos system
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混沌系统最大Lyapunov指数的估计方法,应用混沌同步条件,估计原系统最大的Lyapunov指数,以lorenz混沌为例-The estimation of the largest Lyapunov exponent of the chaotic system, the application of chaos synchronization conditions, it is estimated that the largest Lyapunov exponent of the origin
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lorenzx相位图 吸收引子 混沌 chaos-lorenz system phase
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lorenz系统的相图程序,简单数学模型中的混沌现象
-lorenz system phase diagram of the program, a simple mathematical model of Chaos
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混沌的基本概念,MATLAB中的龙格—库塔(Runge-Kutta)实现,Lorenz 混沌系统 ,Rossler 混沌系统-The basic concept of chaos, MATLAB of Runge- Kutta (Runge-Kutta) realize, Lorenz chaotic system, Rossler chaotic system
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洛伦兹系统的最大LYPA指数的计算程序-lorenz system ,max lypanov expenents,chaos,matlab,,......
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混沌系统的分析方法:李氏图(以Lorenz系统为例)-the chaos system analysis method :lyapunov figure(the chaos system is lorenz syatem )
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混沌系统的分析方法:庞加莱截面图(以Lorenz 系统为例)-the chaos system analysis mehtod:pointcare figure(the system is lorenz system)
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Most amazing animation of Lorenz system and beautiful three dimension plot, written by SVEND BERTEL DAHL-JENSEN
MAKES TWO INTIAL POINTS, ONE WITH A SMALL OFFSET, AND SHOWS THE SOLUTION
TRJECTORIES LIVE TO SHOW THE EFFECT OF STRANGE ATTRACTORS AN
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fractional order Lorenz system phase portrait.
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对Lorenz系统进行仿真出李雅普诺夫指数和最大李雅普诺夫指数;可以直接套用到其他的混沌系统进行反正出图即可。(The Lyapunov exponent and the largest Lyapunov exponent are simulated on the Lorenz system, and the other chaotic systems can be directly applied to the inverse diagram.)
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