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Type III intermittency without characteristic relation by Ezequiel del Rio; Sergio Elaskar is a Physics and Astronomy article available to read on EtoBox.
What is Type III intermittency without characteristic relation about?
Chaotic intermittency is a route to chaos when transitions between laminar and chaotic dynamics occur. The main attribute of intermittency is the reinjection mechanism, described by the reinjection probability density (RPD), which maps trajectories from the chaotic region into the laminar one. The RPD classically was taken as a constant. This hypothesis is behind the classically reported characteristic relations, a tool describing how the mean value of the laminar length goes to infinity as the control parameter goes to zero. Recently, a generalized non-uniform RPD has been observed in a wide class of 1D maps; hence, the intermittency theory has been generalized. Consequently, the characteristic relations were also generalized. However, the RPD and the characteristic relations observed in some experimental Poincaré maps still cannot be well explained in the actual intermittency framework. We extend the previous analytical results to deal with the mentioned class of maps. We found that in the mentioned maps, there is not a well-defined RPD in the sense that its shape drastically changes depending on a small variation of the parameter of the map. Consequently, the characteristic rela
Who reads Type III intermittency without characteristic relation?
It is typically read by researchers, students, and practitioners in Physics and Astronomy.
- Author
- Ezequiel del Rio; Sergio Elaskar
- Publisher
- AIP Publishing
- Published
- 2021
- Language
- EN
- Field
- Physics and Astronomy (Physical Sciences)