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混沌数学之Rössler(若斯叻)吸引子

若斯叻吸引子(Rössler attractor)是一组三元非线性微分方程：
frac{dx(t)}{dt} = -y(t)-z(t)
frac{dy(t)}{dt} = x(t)+a*y(t)
frac{dz(t)}{dt} = b-c*z(t)+x(t)*z(t)
若斯叻方程没有解析解，但可利用龙格－库塔法求数值解并做图。

相关软件:混沌数学及其软件模拟

相关代码:

class RosslerAttractor : public DifferentialEquation
{
public:
    RosslerAttractor()
    {
        m_StartX = 1.0f;
        m_StartY = 2.0f;
        m_StartZ = 3.0f;

        m_ParamA = 0.15f;
        m_ParamB = 0.2f;
        m_ParamC = 10.0f;

        m_StepT = 0.01f;
    }

    void Derivative(float x, float y, float z, float& dX, float& dY, float& dZ)
    {
        dX = -y - z;
        dY = x + m_ParamA*y;
        dZ = m_ParamB - m_ParamC*z + x*z;
    }

    bool IsValidParamA() const {return true;}
    bool IsValidParamB() const {return true;}
    bool IsValidParamC() const {return true;}
};