Solving Hyperchaotic Systems Using the Spectral Relaxation Method

Table 6

Comparison of the numerical solution of Rabinovich-Fabrikant equations obtained by the MSRM and ode45 for 𝑎=0.1 and 𝑏=0.2715.

𝑡	𝑥1(𝑡)		𝑥2(𝑡)		𝑥3(𝑡)
	MSRM	ode45	MSRM	ode45	MSRM	ode45
5	0.209579	0.209579	−0.115166	−0.115166	0.006755	0.006755
10	−0.186073	−0.186073	−0.348447	−0.348447	0.000415	0.000415
15	−0.470037	−0.470037	0.450639	0.450639	0.000030	0.000030
20	0.763142	0.763142	−0.755078	−0.755078	0.000002	0.000002
25	1.037421	1.037421	−1.430741	−1.430741	0.001753	0.001753
30	1.809575	1.809575	−0.478596	−0.478597	0.003993	0.003993
35	1.385747	1.385746	−1.420675	−1.420676	0.005921	0.005921
40	−0.878223	−0.878223	1.883510	1.883510	0.014795	0.014795
CPU time	0.275718	0.469540