Multipulse Heteroclinic Orbits and Chaotic Dynamics of the Laminated Composite Piezoelectric Rectangular Plate

Figure 12

The multipulse chaotic motion is obtained when 𝜎₁=7.31, 𝜎₂=12.23, 𝜇₁=0.3, 𝜇₂=0.2, 𝑎₂=20.9, 𝑎₃=13.6, 𝑎₄=17.3, 𝑎₆=−7.37, 𝑎₇=13.39, 𝑓₂=35.1, 𝑏₆=−3.68, 𝑏₇=−11.16, 𝑥₁₀=−3.1385, 𝑥₂₀=−4.45, 𝑥₃₀=−0.59, and 𝑥₄₀=0.36; (a) the phase portrait on the plane (𝑥₁,𝑥₂); (b) the phase portrait on the plane (𝑥₃,𝑥₄); (c) the waveform on the plane (𝑡,𝑥₁); (d) the waveform on the plane (𝑡,𝑥₃); (e) the phase portraits in the three-dimensional space (𝑥₁,𝑥₂,𝑥₃); (f) Poincare map on the plane (𝑥₁,𝑥₂).

(a)

(b)

(c)

(d)

(e)

(f)