Analytical Study of Fractional-Order Multiple Chaotic FitzHugh-Nagumo Neurons Model Using Multistep Generalized Differential Transform Method

المؤلفون المشاركون

al-Smadi, Mohammed
Momani, Shaher M.
Freihat, Asad

المصدر

Abstract and Applied Analysis

العدد

المجلد 2014، العدد 2014 (31 ديسمبر/كانون الأول 2014)، ص ص. 1-10، 10ص.

الناشر

Hindawi Publishing Corporation

تاريخ النشر

2014-06-11

دولة النشر

مصر

عدد الصفحات

10

التخصصات الرئيسية

الرياضيات

الملخص EN

The multistep generalized differential transform method is applied to solve the fractional-order multiple chaotic FitzHugh-Nagumo (FHN) neurons model.

The algorithm is illustrated by studying the dynamics of three coupled chaotic FHN neurons equations with different gap junctions under external electrical stimulation.

The fractional derivatives are described in the Caputo sense.

Furthermore, we present figurative comparisons between the proposed scheme and the classical fourth-order Runge-Kutta method to demonstrate the accuracy and applicability of this method.

The graphical results reveal that only few terms are required to deduce the approximate solutions which are found to be accurate and efficient.

نمط استشهاد جمعية علماء النفس الأمريكية (APA)

Momani, Shaher M.& Freihat, Asad& al-Smadi, Mohammed. 2014. Analytical Study of Fractional-Order Multiple Chaotic FitzHugh-Nagumo Neurons Model Using Multistep Generalized Differential Transform Method. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1013620

نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)

Momani, Shaher M.…[et al.]. Analytical Study of Fractional-Order Multiple Chaotic FitzHugh-Nagumo Neurons Model Using Multistep Generalized Differential Transform Method. Abstract and Applied Analysis No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-1013620

نمط استشهاد الجمعية الطبية الأمريكية (AMA)

Momani, Shaher M.& Freihat, Asad& al-Smadi, Mohammed. Analytical Study of Fractional-Order Multiple Chaotic FitzHugh-Nagumo Neurons Model Using Multistep Generalized Differential Transform Method. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1013620

نوع البيانات

مقالات

لغة النص

الإنجليزية

الملاحظات

Includes bibliographical references

رقم السجل

BIM-1013620