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

Figure 16

Periodic motion of 𝑃₍₂₁₃₎ (Ω=6.7 and 𝑒₂=0.7): (a) displacement history, (b) velocity history, (c) phase plane of particle, and (d) phase plane of piston. Solid and dashed curves indicate the motion of particle and piston, respectively, (𝑚₁=0.01, 𝑚₂=1, 𝑘=10, 𝑐=6, 𝑒₁=0.9, ℎ=1, 𝑄=0.5, 𝑡₀=0.0741633079, 𝑥⁽¹⁾₀=1.0, 𝑥̇⁽¹⁾₀=5.4104888431, 𝑥⁽²⁾₀=0.3280350633, 𝑥̇⁽²⁾₀=1.1504459376).

(a)

(b)

(c)

(d)