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Periodic bifurcation of Duffing-van der Pol oscillators having fractional derivatives and time delay.
- Source :
-
Communications in Nonlinear Science & Numerical Simulation . Apr2014, Vol. 19 Issue 4, p1142-1155. 14p. - Publication Year :
- 2014
-
Abstract
- Highlights: [•] The residue harmonic balance is again introduced in bifurcation analysis. [•] The periodic bifurcations are examined using the fractional order, feedback gain and time delay as continuation parameters. [•] All possible steady state solutions are derived analytically without numerical integration. [•] The fractional order, feedback gain and time delay change the bifurcating curves qualitatively. [•] Control strategies are proposed to avoid jumps and hysteresis phenomena using trials and errors. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10075704
- Volume :
- 19
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Communications in Nonlinear Science & Numerical Simulation
- Publication Type :
- Periodical
- Accession number :
- 91600921
- Full Text :
- https://doi.org/10.1016/j.cnsns.2013.08.020