A route to turbulence in delay-differential system (Q2368119)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A route to turbulence in delay-differential system |
scientific article |
Statements
A route to turbulence in delay-differential system (English)
0 references
24 August 1993
0 references
The author develops a singular perturbation approach to study the dynamical behaviour of the delay-differential system at the points of transition from quasi-periodic to more chaotic states. He observes that some attractor crisis windows appear at merging points of the chaotic bands. The widths and the critical values of the windows vary with the different linear modes of the system regularly leading to some harmonic bifurcation and hysteresis behaviour.
0 references
turbulence
0 references
singular perturbation approach
0 references
delay-differential system
0 references
transition from quasi-periodic to more chaotic states
0 references
attractor crisis windows
0 references
harmonic bifurcation
0 references
hysteresis
0 references