Chaotic mathematics: Lu Chen's inception

Lu Chen Attractor, also known as Lu attractor, is a researcher at the Institute of Mathematics and System Science, Chinese Emy of Sciences in 2002.
The findings and analysis of Jinhu Lu, suchun Zhang, and guangrong Chen, a professor at the Department of Electronic Engineering at the City University of Hong Kong
A new type of sound source between Lorenz attraction and Zeiss circuit.
The change of the control parameters is characteristic of the LVS.

Lv's Wang's equation:
Frac {dx (t)} {DT} = A * (Y (t)-x (t ))
Frac {DY (t)} {DT} = x (t)-x (t) * Z (t) + C * Y (t) + u
Frac {dz (t)} {DT} = x (t) * Y (t)-B * Z (t)

Parameters: a = 36, c = 20, B = 3, u =-15... 15
Initial Condition: x (0) =. 1, y (0) =. 3, Z (0) =-. 6

Where u is a control number,
When u ≤-11, L? Chen's chaotic source is the chaotic source of the Left voluum,
When u is between-10 and 10,
When u is greater than or equal to 11, it is the chaotic source of the right voluum wave.

 

Related code:

class LuChenAttractor : public DifferentialEquation{public:    LuChenAttractor()    {        m_StartX = 0.1f;        m_StartY = 0.3f;        m_StartZ = -0.6f;        m_ParamA = 36.0f;        m_ParamB = 3.0f;        m_ParamC = 20.0f;        m_ParamD = 8.0f;    }    void Derivative(float x, float y, float z, float& dX, float& dY, float& dZ)    {        dX = m_ParamA*(y - x);        dY = x - x*z + m_ParamC*y + m_ParamD;        dZ = x*y - m_ParamB*z;    }    bool IsValidParamA() const {return true;}    bool IsValidParamB() const {return true;}    bool IsValidParamC() const {return true;}    bool IsValidParamD() const {return true;}};

 

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Chaotic mathematics: Lu Chen's inception