Analysis of fractional order Bonhoeffer–van der Pol oscillator
We investigate a Bonhoeffer–van der Pol dynamical system with fractional derivatives of different orders. Spectral analysis is fulfilled analytically for certain relationships between derivative orders and numerically for any relation between them. It is shown that such a system could be more unstable than the system with integer derivatives even for fractional order indices less than one. Different types of oscillations appear as a result of this instability. Computer simulation of the typical oscillations demonstrating the observed effects are performed.
Year of publication: |
2008
|
---|---|
Authors: | Gafiychuk, V. ; Datsko, B. ; Meleshko, V. |
Published in: |
Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 387.2008, 2, p. 418-424
|
Publisher: |
Elsevier |
Subject: | Dynamical system | Fractional differential equations | Instability domain | Oscillations |
Saved in:
Online Resource
Saved in favorites
Similar items by subject
-
Modeling of the national economies in state-space : a fractional calculus approach
Škovránek, Tomáš, (2012)
-
Trapezoidal methods for fractional differential equations: Theoretical and computational aspects
Garrappa, Roberto, (2015)
-
Modeling of the national economies in state-space: A fractional calculus approach
Škovránek, Tomáš, (2012)
- More ...