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

Joint Authors

English, L. Q.
Mareno, A.

Source

Discrete Dynamics in Nature and Society

Issue

Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-14, 14 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2020-07-16

Country of Publication

Egypt

No. of Pages

14

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Mareno, A.& English, L. Q.. 2020. Flip and Neimark–Sacker Bifurcations in a Coupled Logistic Map System. Discrete Dynamics in Nature and Society،Vol. 2020, no. 2020, pp.1-14.
https://search.emarefa.net/detail/BIM-1153023

Modern Language Association (MLA)

Mareno, A.& English, L. Q.. Flip and Neimark–Sacker Bifurcations in a Coupled Logistic Map System. Discrete Dynamics in Nature and Society No. 2020 (2020), pp.1-14.
https://search.emarefa.net/detail/BIM-1153023

American Medical Association (AMA)

Mareno, A.& English, L. Q.. Flip and Neimark–Sacker Bifurcations in a Coupled Logistic Map System. Discrete Dynamics in Nature and Society. 2020. Vol. 2020, no. 2020, pp.1-14.
https://search.emarefa.net/detail/BIM-1153023

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1153023