Coexistence of hidden attractors in the smooth cubic Chua's Circuit with two stable equilibria

I Ahmad, B Srisuchinwong… - International Journal of …, 2023 - World Scientific
Since the invention of Chua's circuit, numerous generalizations based on the substitution of
the nonlinear function have been reported. One of the generalizations is obtained by …

Memristor-based chaotic circuits

B Muthuswamy, PP Kokate - IETE Technical Review, 2009 - Taylor & Francis
Ever since its physical fabrication in 2008, the memristor has been promising in the fields of
nanoelectronics, computer logic and neuromorphic computers. Taking advantage of the …

Image encryption based on synchronization of fractional chaotic systems

Y Xu, H Wang, Y Li, B Pei - … in Nonlinear Science and Numerical Simulation, 2014 - Elsevier
This paper deals with a synchronization scheme for two fractional chaotic systems which is
applied in image encryption. Based on Pecora and Carroll (PC) synchronization, fractional …

An infinite 2-D lattice of strange attractors

C Li, JC Sprott, Y Mei - Nonlinear Dynamics, 2017 - Springer
Periodic trigonometric functions are introduced in 2-D offset-boostable chaotic flows to
generate an infinite 2-D lattice of strange attractors. These 2-D offset-boostable chaotic …

Modified generalized projective synchronization of a new fractional-order hyperchaotic system and its application to secure communication

X Wu, H Wang, H Lu - Nonlinear Analysis: Real World Applications, 2012 - Elsevier
This paper presents a new fractional-order hyperchaotic system. The chaotic behaviors of
this system in phase portraits are analyzed by the fractional calculus theory and computer …

Fuzzy generalized projective synchronization of incommensurate fractional-order chaotic systems

A Boulkroune, A Bouzeriba, T Bouden - Neurocomputing, 2016 - Elsevier
This paper proposes a novel fuzzy adaptive controller for achieving an appropriate
generalized projective synchronization (GPS) of two incommensurate fractional-order …

A speech encryption using fractional chaotic systems

LJ Sheu - Nonlinear dynamics, 2011 - Springer
In this paper, a new speech encryption using fractional chaotic systems is presented. A two-
channel transmission method is used where the original speech is encoded using a …

Function projective synchronization of different chaotic systems with uncertain parameters

H Du, Q Zeng, C Wang - Physics Letters A, 2008 - Elsevier
This Letter investigates the function projective synchronization of different chaotic systems
with unknown parameters. By Lyapunov stability theory, the adaptive control law and the …

Fuzzy adaptive synchronization of uncertain fractional-order chaotic systems

A Boulkroune, A Bouzeriba, T Bouden… - Advances in chaos theory …, 2016 - Springer
In this chapter, a fuzzy adaptive controller for a class of fractional-order chaotic systems with
uncertain dynamics and external disturbances is proposed to realize a practical projective …

Projective synchronization of a new hyperchaotic Lorenz system

Q Jia - Physics Letters A, 2007 - Elsevier
This Letter mainly concerns projective synchronization (PS) of a new hyperchaotic Lorenz
system. PS with both identical and different scaling factors between two hyperchaotic Lorenz …