We will demonstrate the peculiar behavior of nonlinear oscillations with a collection of experiments: (1) A stretched rubber band, driven by a loudspeaker, exhibits hysteresis due to its bent resonance curve. (2) A doubly bent resonance curve and hysteresis are exhibited by a parametrically driven pendulum bouncing against stops. (3) Subharmonics can be heard when a loudspeaker, laid on its back, causes a pencil to bounce. (4) A hanging chain undergoes quasiperiodically modulated vibrations, where the modulations have a frequency independent of that of the drive. (5) A pendulum, free to rotate 360°, crosses the transition to deterministic chaos when driven with the proper oscillating torque. (6) Two metronomes on the same platform, initially ticking independently, pull each other into synchronism and phase lock, as seen by Christian Huygens in 1665. (7) A parametrically driven rigid pendulum will defy gravity by standing on end and oscillating upside down. (8) We will show the nonpropagating soliton, seen by the authors in a trough of water [Phys. Rev. Lett.52, 1421 (1984)], and two of these solitons oscillating about each other. [Work supported by ONR.]