Chapter - Cycle expansions

1 Pseudocycles and shadowing
Shadowing of a long periodic orbit by a pair of short ones
Xiong Ding and Predrag Cvitanović
In this simulation Xiong Ding illustrates the basic principle of periodic orbit theory: The theory works because long periodic orbits are shadowed by shorter ones, and thus the short periodic orbits build up accurate estimates of the infinite time behavior of a chaotic flow.

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