On stability of equilibrium points in nonlinear fractional differential equations and fractional Hamiltonian systems |
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| Authors: | Fatemeh Keshtkar Gholamhussian Erjaee Mahmoud Boutefnouchet |
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| Institution: | 1. Faculty of Mathematical Sciences, Applied Mathematics Department, University of Tabriz, Tabriz;2. Mathematics Department, Shiraz University, Shiraz, Iran;3. Mathematics, Physics and Statistic Department, Qatar University, Doha, Qatar |
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| Abstract: | In this article, a brief stability analysis of equilibrium points in nonlinear fractional order dynamical systems is given. Then, based on the first integral concept, a definition of planar Hamiltonian systems with fractional order introduced. Some interesting properties of these fractional Hamiltonian systems are also presented. Finally, we illustrate two examples to see the differences between fractional Hamiltonian systems with their classical order counterparts.© 2014 Wiley Periodicals, Inc. Complexity 21: 93–99, 2015 |
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| Keywords: | dynamical systems fractional differential equations Hamiltonian systems |
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