Sonic boom faster than the speed of sound, thus creating a sonic boom. The whip is probably the first human invention to break the sound barrier. A bullwhip tapers down from the handle section to the cracker. The cracker has much less mass than the handle section. When the whip is sharply swung, the energy is transferred down the length of the tapering whip. Goriely and McMillen showed that the physical explanation is complex, involving the way that a loop travels down a tapered filament under tension. Sonic boom A sonic boom is the sound associated with the shock waves created whenever
Periodic travelling wave of periodic travelling wave generation are now well established. These include: In all of these cases, a key question is which member of the periodic travelling wave family is selected. For most mathematical systems this remains an open problem. It is common that for some parameter values, the periodic travelling waves arising from a wave generation mechanism are unstable. In such cases the solution usually evolves to spatiotemporal chaos. Thus the solution involves a spatiotemporal transition to chaos via the periodic travelling wave. There are two particular mathematical systems that serve as prototypes for periodic travelling waves, and which have