Research Article

Abundant Coexisting Multiple Attractors’ Behaviors in Three-Dimensional Sine Chaotic System

Table 1

Equilibrium points, eigenvalues, and stabilities for k = 3.6 and 5.

kEquilibrium pointsEigenvaluesStabilities

3.6: (0, 0, 0)1.0528 ± j0.4807, –3.1057Index-2 USF
: (0, ±2.4074, 0)1.3656, –1.1828 ± j1.7041Index-1 USF
: (±1.7659, ±1.7668, ±1.7659)0.1205 ± j1.9193, –1.2410Index-2 USF
: (±1.7659, ±0.7858, ±1.7659)1.3103, –1.1551 ± j1.3587Index-1 USF
: (±1.7659, ±2.8378, ±1.7659)0.3285 ± j2.6672, –1.6569Index-2 USF

5: (0, 0, 0)1.4346 ± j1.0215, –3.8692Index-2 USF
: (0, ±2.5976, 0)2.0719, –1.5359 ± j2.2986Index-1 USF
: (±2.1253, ±2.1271, ±2.1253)0.4429 ± j2.9575, –1.8857Index-2 USF
: (±2.1253, ±0.5756, ±2.1253)2.1115, –1.5558 ± j2.1419Index-1 USF
: (±2.1253, ±2.9680, ±2.1253)0.6154 ± j3.4532, –2.2309Index-2 USF