Canards ina Modified LotkaVolterra Model

1
Canards in a Modified Lotka-Volterra Model

• Vladimir Sobolev, Alexei Pokrovskii, andElena
  Shchepakina

2
Parabolic Curve
The slow curve
The exact canard
3
The slow curve
The exact canard
4
The Simplest Canard
5
Feeble canards
6
Two-faced feeble canards
7
Feeble canards
8
Two-faced feeble canards
9
Canard Doublet
The slow curve
10
Canard Doublet (feeble)
The slow curve
11
Generalized Lotka-Voltera model
12
(No Transcript)
13
Relaxation Canard (p1)
14
Relaxation Canard (p2)
15
Canard Doublet (p1)
16
Canard Doublet (p2)
17
Canard Doublet (p2)Apparent Disappearance
18
Excitability (p1)
19
Excitability (p1)
20
Excitability (p2)