
308 Classical Mechanics
© 2010 Taylor & Francis Group, LLC
control parameter, chaotic bursts are more frequent and last longer until the pattern eventually
becomes completely chaotic.
Quasi-periodicity is motion or behavior caused by two or more simultaneous periodicities whose
different frequencies are out of phase (not commensurate) with one another. Because the frequencies
are independent and lack a common denominator, the motion never repeats itself exactly. However,
it can almost repeat itself or seem, at rst glance, to repeat itself. Hence we dub it quasi-periodic.
It does not show up readily on a time-series graph and usually requires more ...