| Title |
Transient chaos in time-delayed systems subjected to parameter drift / |
| Authors |
Cantisán, Julia ; Seoane, Jesús M ; Sanjuán, Miguel A.F |
| DOI |
10.1088/2632-072X/abd67b |
| Full Text |
|
| Is Part of |
Journal of physics: complexity.. Bristol : IOP Publishing. 2021, vol. 2, iss. 2, art. no. 025001, p. 1-10.. ISSN 2632-072X |
| Keywords [eng] |
Duffing oscillator ; time-delayed systems ; transient chaos |
| Abstract [eng] |
External and internal factors may cause a system's parameter to vary with time before it stabilizes. This drift induces a regime shift when the parameter crosses a bifurcation. Here, we study the case of an infinite dimensional system: a time-delayed oscillator whose time delay varies at a small but non-negligible rate. Our research shows that due to this parameter drift, trajectories from a chaotic attractor tip to other states with a certain probability. This causes the appearance of the phenomenon of transient chaos. By using an ensemble approach, we find a gamma distribution of transient lifetimes, unlike in other non-delayed systems where normal distributions have been found to govern the process. Furthermore, we analyze how the parameter change rate influences the tipping probability, and we derive a scaling law relating the parameter value for which the tipping takes place and the lifetime of the transient chaos with the parameter change rate. |
| Published |
Bristol : IOP Publishing |
| Type |
Journal article |
| Language |
English |
| Publication date |
2021 |
| CC license |
|
