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Based on generalized chaos synchronization theorems for bidirectional discrete system, we construct a Hénon area-preserving quadratic system, and design a new 3-dimensional chaotic system called generalized discrete predator-prey system. Furthermore, a new encryption algorithm based on composite two new discrete chaotic systems for sound communication is proposed. This encryption algorithm has 9...
Based on a generalized chaos synchronization theorem for discrete-time systems, this paper introduces a new 4-dimensional generalized chaos synchronization system. A chaos-based pseudorandom number generator (CPNG) is designed based on the new system. We use the FIPA-140-2 tests issued by the National Institute of Standard and Technology to verify the random properties of the binary number sequences...
This paper establishes three constructive theorems which are to achieve generalized chaos synchronization (GCS) for non-autonomously discrete time chaotic systems. The theorems uncover the general forms of two GCS non-autonomously discrete time chaotic systems by a prescribed transformation. Numerical simulation examples are given to illustrate the effectiveness of the proposed theorems.
Based on the two-dimensional Arnold's cat map, and a generalized chaos synchronization (GCS) theorem, this paper presents a new six-dimensional discrete chaos map (6DCM) with GCS property. A chaos-based pseudorandom number generator (CPNG) is designed based on the 6DCM. We use the FIPA-140-2 tests issued by the National Institute of Standard and Technology to verify the random properties of the binary...
This paper establishes one new constructive generalized (chaos) synchronization (GS) theorems for coupled array ordinary differential equation systems (ADESs). The theorems provide general representations of GS ADES. Based on the theorem, one can design GS driven ADESs via driving chaotic ADESs and continuously differentiable transformations. As an applications, a Lorenz's cellular neural network...
Two constructive generalized synchronization (GS) theorems for a kind of neural network are introduced, which are described by discrete-time array equation systems (DTAEs). Based on the theorems, one can design a GS driven DTAE via a driving chaotic DTAE and an inverse function of H. As an application, a generalized Henon cellular neural network (CNN) with three state variables is introduced. Using...
First this paper introduces a discrete Lorenz three-dimensional chaotic (Lorenz) Cellular Neural Network (CNN). Second based on a constructive generalized chaos synchronization (GS) theorem for unidirectionally coupled discrete array system (UCDAS) presented in, and the Lorenz CNN, this paper constructs a coupled GS UCDAS with 51times51times6 cells. The hyper chaotic GS phenomena of the GS UCDAS have...
Based on a novel generalized chaotic synchronization system (GCSS), this paper introduces a steganography scheme to secret multimedia information. Firstly a sender uses the chaotic stream generated by the GCSS to mask a secret image and a secrete text according to prescribed rules. Secondly he uses the least significant bit (LSB) embedding method to embed the masked pseudo-liked messages into an unsuspicious...
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