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Robust control of periodic bifurcation solutions
- Source :
- Applied Mathematics and Mechanics. 25:263-271
- Publication Year :
- 2004
- Publisher :
- Springer Science and Business Media LLC, 2004.
-
Abstract
- The topological bifurcation diagrams and the coefficients of bifurcation equation were obtained by C-L method.According to obtained bifurcation diagrams and combining control theory,the method of robust control of periodic bifurcation was presented,which differs from generic methods of bifurcation control.It can make the existing motion pattern into the goal motion pattern.Because the method does not make strict requirement about parametric values of the controller,it is convenient to design and make it.Numerical simulations verify validity of the method.
- Subjects :
- Period-doubling bifurcation
Applied Mathematics
Mechanical Engineering
MathematicsofComputing_NUMERICALANALYSIS
Saddle-node bifurcation
Heteroclinic bifurcation
Bifurcation diagram
Biological applications of bifurcation theory
Nonlinear Sciences::Chaotic Dynamics
Transcritical bifurcation
Bifurcation theory
Mechanics of Materials
Control theory
Feigenbaum constants
Applied mathematics
Nonlinear Sciences::Pattern Formation and Solitons
Mathematics
Subjects
Details
- ISSN :
- 15732754 and 02534827
- Volume :
- 25
- Database :
- OpenAIRE
- Journal :
- Applied Mathematics and Mechanics
- Accession number :
- edsair.doi...........c2f6290321957d93ffb3ebd8df86fa4a