Directional Control of Bifurcation into Targeted Trajectory
| Autor: | Nikola Konatar, Vladimir Jaćimović |
|---|---|
| Rok vydání: | 2015 |
| Předmět: |
Mathematical optimization
Dynamical systems theory Applied Mathematics MathematicsofComputing_NUMERICALANALYSIS Saddle-node bifurcation Heteroclinic bifurcation Bifurcation diagram Biological applications of bifurcation theory Bifurcation theory Transcritical bifurcation Control theory Modeling and Simulation Engineering (miscellaneous) Bifurcation Mathematics |
| Zdroj: | International Journal of Bifurcation and Chaos. 25:1550154 |
| ISSN: | 1793-6551 0218-1274 |
| DOI: | 10.1142/s0218127415501540 |
| Popis: | The field of bifurcation control includes several classes of problems that are actively studied with various motivations and from different points of view. The different statements of the problem are articulated by defining various objectives of applying control to the system, depending on the motivation and the specific problem. In this paper, we propose the objective of bifurcation control that is based on one of the main features of bifurcation phenomena: bifurcation generates possibilities for different scenarios to occur. We show how to find the right directions to control the system in order to ensure the realization of a favorable scenario. Our method is based on a bifurcation theorem for an abstract problem with constraints (inequalities). This theorem is further applied to controlled dynamical systems and two reasonably simple bifurcation control problems are analyzed in order to illustrate our objective and method. |
| Databáze: | OpenAIRE |
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