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In this paper, the authors get a common fixed point theorem for a sequence of mappings admitting intuitionistic fuzzy contractive conditions defined on intuitionistic fuzzy metric spaces.
To estimate the ultimate bound and positively invariant set of a dynamic system is an important but quite challenging task. This paper is concerned with the ultimate bounds and positively invariant sets for a system describing the laser-plasma interaction. Based on generalized positive definite and radially unbound Lyapunov functions with respect to the parameters of the system, we derive some new...
This paper is concerned with the ultimate bounds and positively invariant sets for a system describing the amplitude of a plasma instability proposed by Pikovski, Rabinovich and Trakhtengerts. Based on generalized positive definite and radially unbound Lyapunov functions with respect to the parameters of the system, we derive a new ellipsoidal estimate and a cylindrical domain of the globally exponentially...
This paper introduces several basic principles of chaos generated by memristive circuits in accordance with the characteristic of memristor, and a new three-dimensional chaotic system with only one equilibrium are further proposed based on a series memristive circuit. The numerical results show that the proposed memristive system has the common features of nonlinear system under different parameters,...
This paper considers the sub shifts induced by a class of non-primitive constant-length substitutions on two symbols. The authors give a sufficient condition for hyperspace system induced by such a sub shift to be Li-Yorke chaotic. Furthermore, the authors proof a sufficient condition for the hyperspace system mentioned above to have 0 topological entropy.
In this paper, the Genesio system with distributed time delay feedback is studied. Its linear stability is investigated based on the Routh-Hurwitz criteria. After the local asymptotic stability is analyzed, Hopf bifurcation is demonstrated by choosing the mean time delay as a bifurcation parameter. The direction and the stability criteria of the bifurcating periodic solutions are determined by applying...
A seven-mode truncation system of the Navier-Stokes equations for a two-dimensional incompressible fluid on a torus is considered. Its stationary solutions and stability are presented, the existence of attractor and the global stability of the system are discussed. The whole process, which shows a chaos behavior approached through an involved sequence of bifurcations, is simulated numerically by computer...
This paper is concerned with chaos in a delay difference equation. The map of the system is proved to be chaotic in the sense of both Devaney and Li-Yorke under some conditions, by employing the snap-back repeller theory. Some computer simulations are provided to illustrate the theoretical result.
In this paper, iteration method of logistic map with low positions is introduced in order to investigate property of logistic map. Basic structure of logistic map is proposed, which consists of common gene positions (CGPs) and individual gene positions (IGPs). CGPs have the same value of corresponding positions which transferred from previous numerical solutions. The ergodicity and long-term unpredictability...
Bifurcation of limit cycles for two differential polynomial systems is investigated using both qualitative analysis and numerical exploration. The investigation is based on detection functions which are particularly effective for the differential polynomial systems. The study reveals that each of the two systems has 8 limit cycles using detection function approach. By using method of numerical simulation,...
A new three-dimensional continuous quadratic autonomous chaotic system with no equilibria is discussed. Basic properties of the new system are analyzed by means of Lyapunov exponent spectrum, Poincaré mapping, fractal dimension, Analysis results show that this system has complex dynamics with some interesting characteristics.
In this work, we provide a practical implementation of a new memristor based chaotic circuit, which was generated by replacing the nonlinear resistor in the canonical Chua's circuit with a flux-controlled memristor. The existence of the chaos is not only demonstrated by computer simulations, but also verified with Lyapunov exponents and bifurcation analysis. Moreover, we present a breadboarded circuit...
This Paper explores using a non-linear system to construct dynamic logic architecture-cellular neural networks (CNN). The proposed CNN schemes can discriminate the two input signals and switch easily among different 16 kinds of operational roles by changing parameters. Each logic cell performs more flexibly, that makes it possible to achieve complex logic operations and construct computing architecture...
This study examines some dynamical behaviors, in simulations of financial systems. A new fractional-order financial system is proposed in this study. It is a generalization of a dynamic financial model recently reported in the literature. The basic dynamical behaviors of this financial system are investigated, such as the equilibrium, stability. Furthermore, it has been found that chaos exists in...
In this paper, based on improved Chua's chaotic oscillation circuit (MCK circuit), a four-dimensional autonomous hyper chaotic system with memristor is presented, in this system piecewise-linear function taken to describe the nonlinearity of the Chua diode has been replaced by a cubic polynomial. This circuit consists of just five linear components (two resistors, two capacitors and inductor), two...
In this paper, a delayed predator-prey model incorporating a constant prey refuge and diffusion is studied. By analyzing the characteristic equation of linearized system corresponding to the model, we study the local asymptotic stability of the postive equilibrium of the system. Hopf bifurcation is occured. By using the normal form and the center manifold theory, an explicit algorithm to determine...
A method of encryption for embedding a meaningful gray image in the frequency domains of an audio signal is described. Chaotic sequence based on logistic map is adopted to improve the security of the proposed watermarking scheme by quantizing wavelet packet coefficients of audio samples. Simulations under various conditions are given to verify the effectiveness of the audio watermarking scheme. The...
In this paper a new image encryption algorithm is proposed based on Qi hyper-chaotic system. Pseudo random sequences generated from Qi hyper-chaotic system are used to hide the image visual information and to change the image characteristics in the frequency and spatial domains. In this method, a two-level encryption is employed. The first level consists of a selective encryption of Discrete Cosine...
In this paper a hyper-chaotic cryptosystem is proposed based on two encryption processes: the image substitution permutation cryptography process followed by masking of the ciphered image. In the substitution-permutation cryptography process, the selective encryption using exclusive or operation is performed in the frequency domain, and the image is further encrypted in the spatial domain using the...
This paper presents a new color image encryption algorithm based on the fractional-order hyper chaotic systems. First, two fractional-order hyper chaotic systems is applied to generate the chaotic sequences to scramble and diffuse the images. The system parameters, fractional order and initial conditions can be used as the secret keys. Second, we modify the RGB values of the plain-image pixels using...
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