#f,g are the dH/dq and -dH/dp respectively

def f(v1,v2):

    alpha = (a*v1 - b*v2)/k 
    beta =  (a*v2 - c*v1)/k

    dot1 = (c-a)/(3*k) +  (a*np.exp(alpha)/k - c*np.exp(beta)/k)/(1 + np.exp(alpha) + np.exp(beta))
    dot2 = (b-a)/(3*k) +  (a*np.exp(beta)/k - b*np.exp(alpha)/k)/(1 + np.exp(alpha) + np.exp(beta))
    return dot1, dot2

def g(u1,u2):

    dot1 = -1/3 + np.exp(u1)/(1 + np.exp(u1)+ np.exp(u2))
    dot2 = -1/3 + np.exp(u2)/(1 + np.exp(u1)+ np.exp(u2))
    return -dot1, -dot2



#these are the constants for 4th order symplectic rk method where c1 is for canonical position and c2 for canonical momentum cordinates. (As given by Ruth and Forest)

c1 = np.array((1.0/(2.0*(2.0-2.0**(1.0/3.0))), (1.0-2.0**(1.0/3.0))/(2.0*(2.0-2.0**(1.0/3.0))),(1.0-2.0**(1.0/3.0))/(2.0*(2.0-2.0**(1.0/3.0))), 1.0/(2.0*(2.0-2.0**(1.0/3.0)))))

c2 = np.array((1.0/(2.0-2.0**(1.0/3.0)), -2.0**(1.0/3.0)/(2.0-2.0**(1.0/3.0)),1.0/(2.0-2.0**(1.0/3.0)), 0.0))





#this is the function where the integration is happening and returns the 4 arrays which are time series of the phase-space variables

def sol(x0):

    u1 = np.zeros(n+1)
    u2 = np.zeros(n+1)
    v1 = np.zeros(n+1)
    v2 = np.zeros(n+1)

    u1[0] = x0[0]
    u2[0] = x0[1]
    v1[0] = x0[2]
    v2[0] = x0[3]
    for k in xrange (n):
            u10 = u1[k]
            u20 = u2[k]
            v10 = v1[k]
            v20 = v2[k]
            for i in xrange(len(c2)):
                    U1 = u10 + c1[i]*h*f(v10,v20)[0]
                    U2 = u20 + c1[i]*h*f(v10,v20)[1]
                    V1 = v10 + c2[i]*h*g(U1,U2)[0]
                    V2 = v20 + c2[i]*h*g(U1,U2)[1]
                    u10 = U1
                    u20 = U2
                    v10 = V1
                    v20 = V2

            U1 = u10 + h*c1[-1]*f(v10,v20)[0]
            U2 = u20 + h*c1[-1]*f(v10,v20)[1]
            u10 = U1
            u20 = U2
            u1[k+1] = U1
            u2[k+1] = U2
            v1[k+1] = V1
            v2[k+1] = V2

    return u1,u2,v1,v2

当我为某些参数值（如 a、b、c 等）运行代码时，在 dot2 中出现溢出错误。对于其他参数，我得到一个无界的相空间，但哈密顿系统应该有一个有界的轨迹。

我的算法有问题吗？请指出错误。我可以提供整个代码和论文，我试图重现其结果。