Nonlinear methods to control synchronization between fractional-order and integer-order chaotic systems

  • Adel Ouannas
  • Okba Zehrour
  • Zaid Laadjal

Abstract

In this paper, we present nonlinear methods to synchronize different dimensional master and slave chaotic systems described by integer-order and fractional-order differential equations. Based on integer-order Lyapunov stability method and fractional-order Lyapunov approach, effective control schemes to rigorously study the coexistence of generalized synchronization and inverse generalized synchronization, between integer-order and fractional-order chaotic systems with different
dimensions, are introduced. Numerical examples are used to verify the effectiveness of the proposed schemes.

Published
Feb 24, 2018
How to Cite
OUANNAS, Adel; ZEHROUR, Okba; LAADJAL, Zaid. Nonlinear methods to control synchronization between fractional-order and integer-order chaotic systems. Nonlinear Studies, [S.l.], v. 25, n. 1, p. 91-106, feb. 2018. ISSN 2153-4373. Available at: <http://nonlinearstudies.com/index.php/nonlinear/article/view/1655>. Date accessed: 15 oct. 2018.