Chaos theory describes the dynamical systems which exhibit unpredictable, yet deterministic, behavior
Control and synchronization of fractional-order chaotic systems
The chaotic dynamics of fractional-order systems and their applications in secure communication have gained the attention of many recent researches
Mathematical techniques of fractional order systems : A volume in advances in nonlinear dynamics and chaos (ANDC)
Mathematical Techniques of Fractional Order Systems illustrates advances in linear and nonlinear fractional-order systems relating to many interdisciplinary applications, including biomedical, control, circuits, electromagnetics and security
Generalized synchronization involving a linear combination of fractional-order chaotic systems
In this paper, a generalized scheme for synchronizing a fractional order chaotic system with another one or with a linear combination of two other fractional order chaotic systems is presented
Switched active control synchronization of three fractional order chaotic systems
This paper discusses the continuous effect of fractional order parameter on two chaotic systems
Analysis of bus width and delay on a fully digital signum nonlinearity chaotic oscillator
This paper introduces the first fully digital implementation of a 3rd order ODE-based chaotic oscillator with signum nonlinearity
Generalized fractional logistic map suitable for data encryption
This paper presents the generalization of a delayed version of the logistic map
FPGA Implementation of X- and Heart-shapes Controllable Multi-Scroll Attractors
This paper proposes new multi-scrolls chaotic systems which is called the X-shape
Permutation techniques based on discrete chaos and their utilization in image encryption
To achieve the Shannon’s confusion and diffusion properties, an image encryption algorithm should include permutations and substitutions
Fully digital 1-D, 2-D and 3-D multiscroll chaos as hardware pseudo random number generators
This paper introduces the fully digital implementation of a 1-D multiscroll chaos generator based on a staircase nonlinearity in the 3rd-order jerk system using the Euler approximation