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

Figure 21

Poincare mapping sections of chaotic motion (Ω=12). (a) Switching displacement of particle, (b) switching velocity of particle, (c) switching displacement of piston, (d) switching velocity of piston, (e) Poincare section of particle, and (f) Poincare section of piston. (𝑚₁=0.01,𝑚₂=1,𝑘=10,𝑐=6,𝑒₁=0.9,𝑒₂=0.7,ℎ=1,𝑄=0.5) and initial condition (𝑡₀=0.40024561, 𝑥⁽¹⁾₀=𝑥⁽²⁾₀=−0.22472018, 𝑥̇⁽¹⁾₀=2.58913681,𝑥̇⁽²⁾₀=1.19198278).

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(b)

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(e)

(f)