Dynamic Properties of the Fractional-Order Logistic Equation of Complex Variables
We study the dynamic properties (equilibrium points, local and global stability, chaos and bifurcation) of the continuous dynamical system of the logistic equation of complex variables. The existence and uniqueness of uniformly Lyapunov stable solution will be proved.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/251715 |
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doaj-3b7e11e80f1c4227b78b3dc407f1fd712020-11-25T01:01:37ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/251715251715Dynamic Properties of the Fractional-Order Logistic Equation of Complex VariablesA. M. A. El-Sayed0E. Ahmed1H. A. A. El-Saka2Faculty of Science, Alexandria University, Alexandria 21526, EgyptFaculty of Science, Mansoura University, Mansoura 35516, EgyptMathematics Department, Faculty of Science, Damietta University, P.O. Box 34517, New Damietta, EgyptWe study the dynamic properties (equilibrium points, local and global stability, chaos and bifurcation) of the continuous dynamical system of the logistic equation of complex variables. The existence and uniqueness of uniformly Lyapunov stable solution will be proved.http://dx.doi.org/10.1155/2012/251715 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
A. M. A. El-Sayed E. Ahmed H. A. A. El-Saka |
| spellingShingle |
A. M. A. El-Sayed E. Ahmed H. A. A. El-Saka Dynamic Properties of the Fractional-Order Logistic Equation of Complex Variables Abstract and Applied Analysis |
| author_facet |
A. M. A. El-Sayed E. Ahmed H. A. A. El-Saka |
| author_sort |
A. M. A. El-Sayed |
| title |
Dynamic Properties of the Fractional-Order Logistic Equation of Complex Variables |
| title_short |
Dynamic Properties of the Fractional-Order Logistic Equation of Complex Variables |
| title_full |
Dynamic Properties of the Fractional-Order Logistic Equation of Complex Variables |
| title_fullStr |
Dynamic Properties of the Fractional-Order Logistic Equation of Complex Variables |
| title_full_unstemmed |
Dynamic Properties of the Fractional-Order Logistic Equation of Complex Variables |
| title_sort |
dynamic properties of the fractional-order logistic equation of complex variables |
| publisher |
Hindawi Limited |
| series |
Abstract and Applied Analysis |
| issn |
1085-3375 1687-0409 |
| publishDate |
2012-01-01 |
| description |
We study the dynamic properties (equilibrium points, local and global
stability, chaos and bifurcation) of the continuous dynamical system of the logistic
equation of complex variables. The existence and uniqueness of uniformly Lyapunov
stable solution will be proved. |
| url |
http://dx.doi.org/10.1155/2012/251715 |
| work_keys_str_mv |
AT amaelsayed dynamicpropertiesofthefractionalorderlogisticequationofcomplexvariables AT eahmed dynamicpropertiesofthefractionalorderlogisticequationofcomplexvariables AT haaelsaka dynamicpropertiesofthefractionalorderlogisticequationofcomplexvariables |
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1725208251648180224 |