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http//localhost:8080/jspui/handle/123456789/4695| Title: | Bifurcation in economic grawth model to transformed ode |
| Authors: | Abdallah, HABHOUB Laila, GATTAL |
| Keywords: | Modèledecroissanceéconomique,modèledeKaldor-Kalecki,fonc- tion d'investissement,paramètredetempsderetard,tempsderetarddistribué, bifurcation deHopf Economic growthmodel,Kaldor_Kaleckimodel,Investmentfunc- tion, time-delayparameter,distributedtimedelay,Hopfbifurcation |
| Issue Date: | 2022 |
| Publisher: | Larbi Tebessi University - Tebessa |
| Abstract: | Our workfocusesonstudyingtwopapersdeeply,wherewescrutinizeanddis- cuss themainpaperofGuerrinietal.[?], whichisconsideredageneralization of KrawiecandSzydlowskiwork[?]. Whither,theauthorsinvestigatedthedy- namics ofthemodi_edKaldormodelandconcludedgivingthemtheresultthat the limitcyclebehaviorisindependentoftheassumptionthattheinvestment function iss-shaped.Inthisstudy,asanassumption,supposedthelinearfunc- tion I(Y ), andonlythetime-delayparameterplayacrucialroleincreatingthe limit cycle.Also,theyshowedthatforasmalltime-delayparameter,inthelin- ear approximation,theKaldor_KaleckimodelassumestheformoftheLiénard equation. Alinearstabilityanalysisincludingthetimedelayisshowntobean accurate predictorofthecritical T for the_rstbifurcation.As T is increased, the systembifurcatestothelimitcyclebehavior,thentomultipleperiodicand aperiodiccyclesoreventuallytendstowardsthechaoticbehaviorviatheperiod doubling cascaderoutetotheturbulence. Guerrini etalstudiedapossiblebifurcationexpectedtoachangeofthepa- rameter valuesoftheKaldor-Kaleckigrowthmodel,which,theyconsidertwo simplest casesofthreeandfour-dimensionaldynamicalsystems,thatwereob- tained throughthelinearchaintrickfromtheKaldor-Kaleckigrowthmodel with distributeddelay.Forbothmodels,theexistenceconditions'oftheHopf bifurcation withrespecttothetimedelayparameterandtherateofgrowthpa- rameter areestablished.Finally,wediscussthenumericalstudyintheprevious papers |
| URI: | http//localhost:8080/jspui/handle/123456789/4695 |
| Appears in Collections: | 2- رياضيات |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| مدكرة تخرج (1).pdf | 2,03 MB | Adobe PDF | View/Open |
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