The multiple chaotic systems
which consist of the tent chaotic map (1), the piecewise linear chaotic map (2) and the Chen's high-dimension hyper-chaotic system
(3) are utilized to enlarge the key space and perform the complex dynamic behavior.
In general, the proposed ICS algorithm is a feasible, energy-efficient, and promising method for parameters estimation of chaotic systems
Nowadays, in literature there are several approaches of implementation of chaotic systems
in cryptography, because chaotic systems
present cryptographic properties related to confusion and diffusion such as sensitivity to initial conditions and control parameters, mixing, determinism, and ergodicity [1, 2, 12, 13, 15].
Observed based synchronization of chaotic systems
Phys Rev E 54 4803-4811.
In practical terms, a chaotic system
is one that is highly sensitive to initial conditions.
These peculiar characteristics have led such attractors to be called strange attractors, but chaotic systems
are so-called for another reason, namely that any change in the starting point of the temporal evolution of the system in the phase space, no matter how small, inflates exponentially.
Among the topics are the complexity of a kind of special shift map, positive solutions for some three-point boundary value problems, bifurcation analysis for a predator-prey system with prey refuge and diffusion, similar-short periodicity analysis and application in image compression encryption, the adaptive synchronization of the incommensurate fractional-order chaotic systems
with fully unknown parameters, and applying a fractal approach to processing geochemical exploration data of the Baiyin area of Gansu Province.
In the literature, many chaotic systems
have been presented [3-9,15,16], but few have been used in cryptography.
Abstract: For a robust predictability of chaotic systems
, which are very sensitive to initial conditions, we propose in this paper a new approach to design a chaotic system
The idea of synchronizing two identical chaotic systems
was first introduced by Carroll and Pecora [1-2].
In 1990, pecora and carroll proposed a successful method to synchronize two identical chaotic systems
with different initial conditions .
During last one and half decade an interesting relationship between chaos and cryptography has been developed, according to which many properties of chaotic systems
such as: ergodicity, sensitivity to initial conditions/system parameters, mixing property, deterministic dynamics and structural complexity can be considered analogous to the confusion, diffusion with small change in plaintext/secret key, diffusion with a small change within one block of the plaintext, deterministic pseudo randomness and algorithmic complexity properties of traditional cryptosystems.