Solving Hyperchaotic Systems Using the Spectral Relaxation Method

Table 1

Comparison of the numerical solution of the hyperchaotic Chua system obtained by the MSRM and ode45.

𝑡	MSRM	ode45	MSRM	ode45
	𝑥1(𝑡)		𝑥2(𝑡)
2	−0.170293	−0.170293	1.551695	1.551694
4	3.990219	3.990219	2.525985	2.525985
6	5.159513	5.159513	3.058536	3.058536
8	4.648366	4.648366	1.766664	1.766664
10	2.583704	2.583704	−0.980654	−0.980654
	𝑥3(𝑡)		𝑥4(𝑡)
2	11.014651	11.014651	−1.493298	−1.493298
4	7.011997	7.011997	−3.597274	−3.597274
6	−6.752382	−6.752381	−7.371016	−7.371016
8	−22.334344	−22.334343	−16.055827	−16.055827
10	−27.076591	−27.076591	−22.167142	−22.167142
CPU time	0.387212	0.675014