Journal
PRAMANA-JOURNAL OF PHYSICS
Volume 84, Issue 1, Pages 23-32Publisher
INDIAN ACAD SCIENCES
DOI: 10.1007/s12043-014-0830-6
Keywords
Susceptible-infected-recovered model; fractional time derivative; stability analysis; chaos; synchronization; active control method
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Funding
- TCS Research Scholar Programme, Tata Consultancy Services Limited, India
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This paper presents the synchronization between a pair of identical susceptible-infected-recovered (SIR) epidemic chaotic systems and fractional-order time derivative using active control method. The fractional derivative is described in Caputo sense. Numerical simulation results show that the method is effective and reliable for synchronizing the fractional-order chaotic systems while it allows the system to remain in chaotic state. The striking features of this paper are: the successful presentation of the stability of the equilibrium state and the revelation that time for synchronization varies with the variation in fractional-order derivatives close to the standard one for different specified values of the parameters of the system.
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