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Flip and Neimark–Sacker Bifurcations in a Coupled Logistic Map System

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This published version is made available on Dickinson Scholar with the permission of the publisher. For more information on the published version, visit Hindawi's Website. Copyright © 2020 A. Mareno and L. Q. English. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Mareno, A., and L.Q. English. Flip and Neimark–Sacker Bifurcations in a Coupled Logistic Map System. Discrete Dynamics in Nature and Society 2020 (2020): Article ID 4103606, 14 pp. https://www.hindawi.com/journals/ddns/2020/4103606/

In this paper, we consider a system of strongly coupled logistic maps involving two parameters. We classify and investigate the stability of its fixed points. A local bifurcation analysis of the system using center manifold theory is undertaken and then supported by numerical computations. This reveals the existence of a flip and Neimark–Sacker bifurcations.


MLA citation style (9th ed.)

English, Lars Q, and Mareno, A. Flip and Neimark–sacker Bifurcations In a Coupled Logistic Map System. . 2020. dickinson.hykucommons.org/concern/generic_works/e1980c60-5c35-486a-b938-f6dff45618b9?q=2020.

APA citation style (7th ed.)

E. L. Q, & M. A. (2020). Flip and Neimark–Sacker Bifurcations in a Coupled Logistic Map System. https://dickinson.hykucommons.org/concern/generic_works/e1980c60-5c35-486a-b938-f6dff45618b9?q=2020

Chicago citation style (CMOS 17, author-date)

English, Lars Q., and Mareno, A.. Flip and Neimark–sacker Bifurcations In a Coupled Logistic Map System. 2020. https://dickinson.hykucommons.org/concern/generic_works/e1980c60-5c35-486a-b938-f6dff45618b9?q=2020.

Note: These citations are programmatically generated and may be incomplete.

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