Catastrophe model in nonlinear dynamical systems and working groups

Eglė Butkevičiūtė; Mantas Landauskas; Liepa Bikulčienė

doi:10.15388/LMR.A.2015.03

Articles

Eglė Butkevičiūtė

Kaunas University of Technology

Mantas Landauskas

Kaunas University of Technology

Liepa Bikulčienė

Kaunas University of Technology

Published 2015-12-15

https://doi.org/10.15388/LMR.A.2015.03

PDF

Keywords

dynamical system
catastrophe
bifurcation
leadership emergence

How to Cite

Butkevičiūtė, E., Landauskas, M. and Bikulčienė, L. (2015) “Catastrophe model in nonlinear dynamical systems and working groups”, Lietuvos matematikos rinkinys, 56(A), pp. 12–17. doi:10.15388/LMR.A.2015.03.

Download Citation

Abstract

This paper employs catastrophe theory which analyzes changes in dynamical systems depending on two or more parameters at the same time. The main purpose of this work is to investigate the dynamics of the swallowtail catastrophe depending on the values of parameters. This catastrophe could be used as a model of leadership emergence in working groups. The best model of collected data has been found by using the particle optimization algorithm.

PDF

Downloads

Download data is not yet available.

Most read articles by the same author(s)

Mantas Landauskas, Minvydas Ragulskis, Clocking convergence to Arnold tongues – the circle map revisited , Lietuvos matematikos rinkinys: Vol. 53 (2012): Ser. A
Mantas Landauskas, Modeling of surfaces using 3D fractal interpolation , Lietuvos matematikos rinkinys: Vol. 54 (2013): Ser. A
Mantas Landauskas, Alfonsas Vainoras, Minvydas Ragulskis, Algebraic and spectral analysis of local magnetic field intensity , Lietuvos matematikos rinkinys: Vol. 56 (2015): Ser. A
Liepa Bikulčienė, Kristina Poderienė, Eglė Butkevičiūtė, Mantas Landauskas, The investigation of physiological data using the theory of complex systems , Lietuvos matematikos rinkinys: Vol. 56 (2015): Ser. A
Mantas Landauskas, Eimutis Valakevičius, MCMC approach to modelling queuing systems , Lietuvos matematikos rinkinys: Vol. 51 (2010)
Mantas Landauskas, Eimutis Valakevičius, Analysis of pricing models for options , Lietuvos matematikos rinkinys: Vol. 50 (2009)
Mantas Landauskas, Eimutis Valakevičius, MCMC based modelling of queuing systems from empirical data , Lietuvos matematikos rinkinys: Vol. 52 (2011)
Liepa Bikulčienė, Zenonas Navickas, Solution of differential equations using sum of exponential functions , Lietuvos matematikos rinkinys: Vol. 44 (2004)
Liepa Bikulčienė, Jurgita Dabulytė, Distance teaching of probability theory and statistics , Lietuvos matematikos rinkinys: Vol. 43 (2003)
Jurgita Dabulytė-Bagdonavičienė, Liepa Bikulčienė, Software in distance education course ``Probability theory and statistics'' , Lietuvos matematikos rinkinys: Vol. 44 (2004)

1 2 > >>