Research Article
Dynamic Analysis and Degenerate Hopf Bifurcation-Based Feedback Control of a Conservative Chaotic System and Its Circuit Simulation
Table 1
Motion states of system (
1) for different values of the parameters
under
with initial value
.
| | Parameter | Lyapunov exponents | Lyapunov dimension | Motion states | Phase portrait |
| | (0.003,0,−0.003) | 3 | Rotationally symmetric chaotic flow | Figure 2(a) | | (0.003,0,−0.003) | 3 | Rotationally symmetric chaotic flow | Figure 2(b) | | (0.013,0,−0.013) | 3 | Symmetric pair of chaotic flow | Figure 2(c) | | (0.003,0,−0.003) | 3 | Rotationally symmetric chaotic flow | Figure 2(d) | | (0.004,0,−0.004) | 3 | Symmetric pair of chaotic flow | Figure 2(e) | | (0.003,0,−0.003) | 3 | Symmetric pair of chaotic flow | Figure 2(f) | | (0.004,0,−0.005) | 2.8 | Rotationally symmetric chaotic flow | Figure 2(g) | | (0,−0.37, −0.95) | 1 | Symmetric limit cycle | Figure 2(h) | | (0,−0.01,−26.94) | 1 | Symmetric pair of limit cycles | Figure 2(i) |
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