The forced vibro-impact oscillator with Coulomb friction admits an exact symplectic stroboscopic map on its non-sticking set, supporting KAM tori near elliptic periodic orbits and hyperbolic dynamics near saddles, with elliptic orbits persisting as attractors under small damping.
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Mixed Global Dynamics of the Forced Vibro-Impact Oscillator with Coulomb Friction and its Symplectic Structure, KAM Tori, and Persistence
The forced vibro-impact oscillator with Coulomb friction admits an exact symplectic stroboscopic map on its non-sticking set, supporting KAM tori near elliptic periodic orbits and hyperbolic dynamics near saddles, with elliptic orbits persisting as attractors under small damping.