Application of Lagrange Multiplier Method for Computing Fold Bifurcation Point in A Two-Prey One Predator Dynamical System
| Autor: | Marwan Marwan, J.M. Tuwankotta, Eric Harjanto |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Fold Bifurcation
Constrained Extremum Dynamical Systems Dynamical systems theory lcsh:Mathematics Saddle-node bifurcation 02 engineering and technology Function (mathematics) lcsh:QA1-939 Dynamical system 01 natural sciences Nullcline symbols.namesake Intersection Lagrange multiplier 0103 physical sciences 0202 electrical engineering electronic engineering information engineering symbols Applied mathematics 020201 artificial intelligence & image processing Point (geometry) 010301 acoustics Mathematics |
| Zdroj: | Journal of the Indonesian Mathematical Society, Vol 24, Iss 2, Pp 7-19 (2018) |
| ISSN: | 2460-0245 2086-8952 |
| DOI: | 10.22342/jims.24.2.595.7-19 |
| Popis: | We propose by means of an example of applications of the classical Lagrange Multiplier Method for computing fold bifurcation point of an equilibrium ina one-parameter family of dynamical systems. We have used the fact that an equilibrium of a system, geometrically can be seen as an intersection between nullcline manifolds of the system. Thus, we can view the problem of two collapsing equilibria as a constrained optimization problem, where one of the nullclines acts as the cost function while the other nullclines act as the constraints. |
| Databáze: | OpenAIRE |
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