Yaroslav Boev

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The dynamics of the autonomous and non-autonomous Rössler system is studied using the Poincaré recurrence time statistics. It is shown that the probability distribution density of Poincaré recurrences represents a set of equidistant peaks with the distance that is equal to the oscillation period and the envelope obeys an exponential distribution. The(More)
The Poincaré recurrence time is one of the fundamentally important characteristics of temporal dynamics of chaotic systems. It has been proven by Poincaré in 1912 (the proof is presented in Ref. [1]) that for stable according to Poisson systems with a defined probability measure, a phase trajectory starting from an initial point~x0ðt0Þ will return(More)
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