Canards and rakes (Q1203388)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Canards and rakes |
scientific article; zbMATH DE number 118284
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Canards and rakes |
scientific article; zbMATH DE number 118284 |
Statements
Canards and rakes (English)
0 references
8 February 1993
0 references
We study the phenomenon of bifurcation delay in discrete dynamic planar systems. The distinction of one invariant curve for the system reduces the study of this phenomenon to the study of one object. We demonstrate the presence of bifurcation delay in oscillating analytic systems. We present a new phenomenon discovered experimentally which appears for non inversible systems: the invariant curve has a series of exponentially tight poles. We demonstrate this phenomenon on two examples. These examples establish a link between the phenomenon of bifurcation delay and the asymptotic behaviour of special or arithmetic functions.
0 references
\(q\)-difference equation
0 references
hypergeometric confluent function
0 references
discrete dynamical system
0 references
dynamic bifurcation
0 references
discret canard
0 references
rake
0 references
slow-fast application
0 references
non-standard analysis
0 references
difference equation
0 references
0 references
