TY - CHAP
TI - Synchronization Phenomena in Coupled Birkhoff-Shaw Chaotic Systems Using
Nonlinear Controllers
AU - Volos, Christos K.
AU - Nistazakis, Hector E.
AU - Kyprianidis, Ioannis M.
AU - and Stouboulos, Ioannis N.
AU - Tombras, George S.
T2 - NONLINEAR SYSTEMS - DESIGN, ANALYSIS, ESTIMATION AND CONTROL
PB - INTECH EUROPE
PY - 2016
SN - 978-953-51-2715-4; 978-953-51-2714-7
SP - 293-318
TODO - 10.5772/64811
TODO - chaos; complete synchronization; antisynchronization; anidirectional
coupling; nonlinear controller
TODO - In this chapter, the well-known non-autonomous chaotic system, the
Birkhoff-Shaw, which exhibits the structure of beaks and wings,
typically observed in chaotic neuronal models, is used in a coupling
scheme. The Birkhoff-Shaw system is a second-order non-autonomous
dynamical system with rich dynamical behaviour, which has not been
sufficiently studied. Furthermore, the master-slave (unidirectional)
coupling scheme, which is used, is designed by using the nonlinear
controllers to target synchronization states, such as complete
synchronization and antisynchronization, with amplification or
attenuation in chaotic oscillators. It is the first time that the
specific method has been used in coupled non-autonomous chaotic systems.
The stability of synchronization is ensured by using Lyapunov function
stability theorem in the unidirectional mode of coupling. The simulation
results from system's numerical integration confirm the appearance of
complete synchronization and antisynchronization phenomena depending on
the signs of the parameters of the error functions. Electronic circuitry
that models the coupling scheme is also reported to verify its
feasibility.
ER -