chemicallytechFine Chemical TechnologiesТонкие химические технологии2410-65932686-7575MIREA – Russian Technological University (RTU MIREA).chemicallytech-741Research ArticleMATHEMATICAL METHODS AND INFORMATION SYSTEMS IN CHEMICAL TECHNOLOGYМАТЕМАТИЧЕСКИЕ МЕТОДЫ И ИНФОРМАЦИОННЫЕ СИСТЕМЫ В ХИМИЧЕСКОЙ ТЕХНОЛОГИИThe logistic map and the birth of period-3 cycleToroLuis Albertolatoroc@unal.edu.coCardonaCarlos Arielnoemail@neicon.ruPisarenkoYu. A.noemail@neicon.ruInstituto de Biotecnología y Agroindustria, ManizalesRussian FederationM.V. Lomonosov Moscow State University of Fine Chemical TechnologiesRussian Federation201228062012737176Copyright © Toro L.A., Cardona C.A., Pisarenko Y.A., 20122012Toro L.A., Cardona C.A., Pisarenko Y.A.Toro L.A., Cardona C.A., Pisarenko Y.A.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://www.finechem-mirea.ru/jour/article/view/741attractorbifurcation diagramdynamical systemschaosfixed pointslogistic mapmapssymmetric polynomialstangent conditionvector fieldsReferencesCampos Diógenes Romero, José Fernando Isaza Delgado. Prolegómenos a los Sistemas Dinámicos. - Bogotá: Universidad Nacional de Colombia, 2002. 504 р.Campos Diógenes Romero, José Fernando Isaza Delgado. Prolegómenos a los Sistemas Dinámicos. - Bogotá: Universidad Nacional de Colombia, 2002. 504 р.Guckenheimer John, Philip Holmes. Nonlinear oscillations, dynamical systems, and bifurcations of vector fields. - USA: Springer Verlag, 1983. 453 р.Guckenheimer John, Philip Holmes. Nonlinear oscillations, dynamical systems, and bifurcations of vector fields. - USA: Springer Verlag, 1983. 453 р.Hirsch Morris W., Stephen Smale. Differential equations, dynamical systems and linear algebra. - USA: Academic Press, 1974. 358 р.Hirsch Morris W., Stephen Smale. Differential equations, dynamical systems and linear algebra. - USA: Academic Press, 1974. 358 р.Hubbard J.H., West B.H. Differential equations: A dynamical systems approach. - USA: Springer Verlag, 1990. 348 р.Hubbard J.H., West B.H. Differential equations: A dynamical systems approach. - USA: Springer Verlag, 1990. 348 р.Strogatz S.H. Nonlinear dynamics and chaos. - Pearson Books Publishing, 1994. 512 р.Strogatz S.H. Nonlinear dynamics and chaos. - Pearson Books Publishing, 1994. 512 р.Toro Luis Alberto. The logistic map and chaos / Applied Knowledge Paper, Course MATH 723 Chaos Theory. - Lacrosse University. MS. 2005.Toro Luis Alberto. The logistic map and chaos / Applied Knowledge Paper, Course MATH 723 Chaos Theory. - Lacrosse University. MS. 2005.Verhulst F. Nonlinear differential equations and dynamical systems. - Berlin: Springer Verlag, 1990. 270 p.Verhulst F. Nonlinear differential equations and dynamical systems. - Berlin: Springer Verlag, 1990. 270 p.Wiggins S. Introduction to applied nonlinear dynamical systems and chaos. - New York: Springer Verlag, 1990. 843 р.Wiggins S. Introduction to applied nonlinear dynamical systems and chaos. - New York: Springer Verlag, 1990. 843 р.Boyce W.E., DiPrima R.C. Elementary differential equations and boundary value problems. - John Wiley and Sons, 1992. 605 р.Boyce W.E., DiPrima R.C. Elementary differential equations and boundary value problems. - John Wiley and Sons, 1992. 605 р.Wolfram S. The mathematic book. - Wolfram Media / Cambridge University Press, 1999. 470 р.Wolfram S. The mathematic book. - Wolfram Media / Cambridge University Press, 1999. 470 р.
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