hysteretic_circuit_lyap.h

/*------------------------------------------------------------------------------------

ヒステリシス回路の方程式のリアプノフスペクトラムの計算

calculating the Lyapunov spectrum of the Hysteretic circuit equations

dx/dt = y + GAMMA * x + C * z;

dy/dt = OMEGA * x - DELTA2 * y;

dz/dt = ( (1.0 - z * z) * (S * x - D + z) - DELTA3 * z )/EPSILON;

hysteretic_circuit_lyap.h

------------------------------------------------------------------------------------*/

#include <stdio.h>

#include <stdlib.h>

#include <math.h>

#define ITERATION 10000000

#define SKIP      100000

#define DELTA_T 0.001 // step size of the fourth-order Runge-Kutta method

// 初期値

// initial values

#define X0 1.0

#define Y0 1.1

#define Z0 1.2

// parameters

#define GAMMA    0.2

#define C        2.2

#define DELTA2   0.001

#define DELTA3   0.0001

#define EPSILON  0.3

#define OMEGA   -10.0

#define S        1.667

#define D        0.0

// 変数の数

// number of variables

#define DIM 3

/*------------------------------------------------------------------------*/

extern void solve_HC_eqs_using_RK4( double v[DIM], double u[DIM][DIM] );

extern void HC_eqs( double v[DIM], double dfu[DIM][DIM], double dvdt[DIM], double df_k[DIM][DIM] );

extern void gram_schmidt_orth( double u[DIM][DIM], double e[DIM][DIM] );

extern double calc_lyap_dim( double lambda[DIM] );

extern double log2( double x );