Motion Switching and Chaos of a Particle in a Generalized Fermi-Acceleration Oscillator

Figure 20

Chaotic motion (Ω=12): (a) displacement time-history, (b) velocity time-history, (c) phase plane for particle, and (d) phase plane for piston. Solid and dashed curves represent the motion of particle and piston, respectively, (𝑚₁=0.01,𝑚₂=1,𝑘=10,𝑐=6,𝑒₁=0.9,𝑒₂=0.7,ℎ=1,𝑄=0.5) and the initial condition (𝑡₀=0.40024561, 𝑥⁽¹⁾₀=𝑥⁽²⁾₀=−0.22472018, 𝑥̇⁽¹⁾₀=2.58913681,𝑥̇⁽²⁾₀=1.19198278).

(a)

(b)

(c)

(d)