Adel Ouannas, Salem Abdelmalek, Samir Bendoukha
Abstract:
Referring to incommensurate and commensurate fractional systems, this
article presents a new approach to investigate the coexistence of some
synchronization types between non-identical systems characterized by
different dimensions and different orders. In particular, the paper shows
that complete synchronization (CS), anti-synchronization (AS) and inverse
full state hybrid function projective synchronization (IFSHFPS) coexist
when synchronizing a three-dimensional master system with a four-dimensional
slave system. The approach is based on two new results involving stability
theory of linear fractional systems and the fractional Lyapunov method.
A number of examples are provided to highlight the applicability of the
method.
Submitted March 10, 2017. Published May 10, 2017.
Math Subject Classifications: 34A08, 34H10, 34D06.
Key Words: Chaos synchronization; fractional-order systems; coexistence;
fractional Lyapunov approach.
Show me the PDF file (825 KB), TEX file for this article.
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Adel Ouannas Laboratory of Mathematics Informatics and Systems (LAMIS) University of Larbi Tebessi Tebessa, 12002 Algeria email: ouannas.a@yahoo.com |
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Salem Abdelmalek Department of mathematics University of Tebessa, 12002 Algeria email: sallllm@gmail.com |
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Samir Bendoukha Electrical Engineering Department College of Engineering at Yanbu Taibah University, Saudi Arabia email: sbendoukha@taibahu.edu.sa |
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