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Numerical solutions and synchronization of a variable-order fractional chaotic system
ISSN: 2791 - 8564Publisher: author   
Numerical solutions and synchronization of a variable-order fractional chaotic system
Indexed in
Mathematics and Statistics
ARTICLE-FACTOR
1.3
Article Basics Score: 2
Article Transparency Score: 3
Article Operation Score: 3
Article Articles Score: 3
Article Accessibility Score: 3
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International Category Code (ICC):
ICC-1102
Publisher: Mehmet Yavuz
International Journal Address (IAA):
IAA.ZONE/2791123668564
eISSN
:
2791 - 8564
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ISSN Validator
Abstract
In the present paper, we implement a novel numerical method for solving differential equations with fractional variable-order in the Caputo sense to research the dynamics of a circulant Halvorsen system. Control laws are derived analytically to make synchronization of two identical commensurate Halvorsen systems with fractional variable-order time derivatives. The chaotic dynamics of the Halvorsen system with variable-order fractional derivatives are investigated and the identical synchronization between two systems is achieved. Moreover, graph simulations are provided to validate the theoretical analysis.