Two-dimensional Logistic Model of chaotic mathematics

The logistic chaos model is discussed in the previous section. This section describes the two-dimensional logistic ing. it serves as a link between one dimension and high dimensions. The study of chaos in two dimensional ing helps us to understand and predict the state of a more complex high dimensional dynamic system. Two-dimensional logistic ing based on the construction of one-time coupling and secondary disaster recovery is used to study the path from two-dimensional logistic ing to chaos. The characteristics of its fractal structure and suction basin are analyzed, and different control parameters are selected, two-dimensional ing can go to Chaos Based on Feigenbaum paths and point out a large area in the control parameter space.

The mathematical equation of two-dimensional delayed logistic ing is: x (n + 1) = y (n); y (n + 1) = u * Y (N) * (2.28 (n), u belongs to (0,), and [x, y] belongs)

For related demos, see the discrete point set graphics demo of chaos mathematics.

The code is similar to the Code in the previous section:

// http://www.baike.com/wiki/logistic%E6%A8%A1%E5%9E%8Bclass Logistic2DEquation : public DiscreteEquation{public:    Logistic2DEquation()    {        m_StartX = 0.5f;        m_StartY = m_StartX;        m_ParamA = 2.003f;    }    void IterateValue(float x, float y, float& outX, float& outY) const    {        outX = y;        outY = m_ParamA*y*(1-x);    }    bool IsValidParamA() const {return true;}};

The figure is different from the one in the previous section:

 

Two-dimensional Logistic Model of chaotic mathematics