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Showing papers in "Communications in Nonlinear Science and Numerical Simulation in 2014"


Journal ArticleDOI
TL;DR: A new lemma for the Caputo fractional derivatives, when 0 α 1 , is proposed, which has proved to be useful in order to apply the fractional-order extension of Lyapunov direct method, to demonstrate the stability of many fractional order systems, which can be nonlinear and time varying.

1,010 citations


Journal ArticleDOI
TL;DR: A novel image encryption scheme based on rotation matrix bit-level permutation and block diffusion that has the suitability for a parallel mode and the robustness against noise in communication system is proposed.

194 citations


Journal ArticleDOI
TL;DR: Numerical simulation is conducted and it is confirmed that traffic jam can be suppressed efficiently by considering the density difference effect in the modified lattice model for two-lane traffic.

148 citations


Journal ArticleDOI
TL;DR: A new scheme for generating good pseudo-random numbers (PRNG), based on quantum logistic map, which is not complex, which does not impose high requirement on computer hardware and thus computation speed is fast.

148 citations


Journal ArticleDOI
TL;DR: A novel version of EAs, bird mating optimizer (BMO), is proposed for continuous optimization problems which is inspired by mating strategies of bird species during mating season and represents a competitive performance to other EAs.

147 citations


Journal ArticleDOI
TL;DR: A synchronization scheme for two fractional chaotic systems which is applied in image encryption and the cryptanalysis is conducted in detail through histogram, information entropy, key space and sensitivity to verify the high security.

147 citations


Journal ArticleDOI
TL;DR: In this article, a link rewiring strategy based on the Fermi function is introduced to capture the dynamical property of peer-to-peer networks and study its impact on information spreading, where the informed individuals tend to break old links and reconnect to their second-order friends with more uninformed neighbors.

134 citations


Journal ArticleDOI
TL;DR: It is found that the dynamics of the network-based SIRS model is completely determined by a threshold value, which means that there exists uniquely an endemic equilibrium which is globally asymptotically stable.

130 citations


Journal ArticleDOI
TL;DR: A novel T–S fuzzy model pining controller with minimum control nodes is designed and numerical simulations are agreement with theoretical analysis, which both confirm that the correctness of the presented theory is correct.

127 citations


Journal ArticleDOI
TL;DR: A one round encryption scheme for the fast generation of large permutation and diffusion keys based on the sorting of the solutions of the Linear Diophantine Equation whose coefficients are integers and dynamically generated from any type of chaotic systems.

126 citations


Journal ArticleDOI
TL;DR: Simulation results reveal that the overall strength of the proposed chaotic substitution technique for encryption is much stronger than most of the existing encryption techniques.

Journal ArticleDOI
TL;DR: The delayed autaptic feedback connection switches the electrical activities of the HR neuron among quiescent, periodic and chaotic firing patterns and plays a positive role in generating and enhancing the chaotic state.

Journal ArticleDOI
TL;DR: A computational method for solving a class of system of nonlinear singular fractional Volterra integro-differential equations and shifted Chebyshev polynomials and their properties are employed to derive a general procedure for forming the operational matrix of fractional derivative for ChebysHEv wavelets.

Journal ArticleDOI
TL;DR: This paper presents a single round permutation–diffusion chaotic cipher for gray image, in which some temp-value feedback mechanisms are introduced to resist the known attacks.

Journal ArticleDOI
TL;DR: The inherent mechanism of high efficiency and superior performance of COA is revealed, from a new perspective of both the probability distribution property and search speed of chaotic sequences generated by different chaotic maps.

Journal ArticleDOI
TL;DR: A secure pseudo-random number generator three-mixer is proposed, which uses permutations whose positions are computed and indexed by a standard chaotic function and a linear congruence to create a secure cryptosystem.

Journal ArticleDOI
TL;DR: This paper investigates drive-response synchronization of chaotic systems with discontinuous right-hand side by utilizing a new lemma on impulsive differential inequality and the Lyapunov functional method and several synchronization criteria are obtained through rigorous mathematical proofs.

Journal ArticleDOI
TL;DR: In the present work Leonov’s conjecture on Lyapunov dimension of various Rossler systems with standard parameters is checked numerically and exact Lyapunskaya dimension of attractors of many classical chaotic systems is obtained.

Journal ArticleDOI
TL;DR: A new robust chaotic algorithm for digital image steganography based on a 3-dimensional chaotic cat map and lifted discrete wavelet transforms and Sweldens’ lifting scheme is applied to ensure integer-to-integer transforms, thus improving the robustness of the algorithm.

Journal ArticleDOI
TL;DR: Sufficient conditions for stability of the zero solution are proved, extending the corresponding theory of impulsive functional differential equations to an impulsive single species model of Lotka–Volterra type.

Journal ArticleDOI
TL;DR: Numerical simulation results illustrate the efficiency of stabilization conditions and the success of message signal transmission for the considered cryptosystem communication, based on third order generalized hyperchaotic Henon maps as transmitter and receiver key.

Journal ArticleDOI
TL;DR: A qualitative analysis of a novel computer virus propagation model, which incorporates a nonlinear vaccination probability, reveals that, depending on the value of the basic reproduction number, either the virus-free equilibrium or the viral equilibrium is globally asymptotically stable.

Journal ArticleDOI
TL;DR: Theoretical results indicate that the critical threshold value is significantly dependent on the topology of the underlying networks and quarantine rate, and the existence of equilibria is determined by threshold value.

Journal ArticleDOI
TL;DR: Two definitions of the differentiability of type-2 fuzzy number-valued functions of fractional order are introduced and the approximate solutions of two examples of linear and nonlinear T2FFDEs are obtained using the PECE method.

Journal ArticleDOI
TL;DR: A new sufficient condition and feedback controller design method for global exponential asymptotical synchronization of master and slave system are obtained by modeling the synchronization error system as an input-delay system and constructing a new Lyapunov functional.

Journal ArticleDOI
TL;DR: Some novel impulsive synchronization criteria are obtained by introducing a discontinuous Lyapunov function and by using the LyAPunov–Razumikhin technique, which are expressed in forms of linear matrix inequalities to reveal the effects of impulsive input delays and impulsive intervals on the stability of synchronization error systems.

Journal ArticleDOI
Chengbo Zhai1, Li Xu1
TL;DR: By using fixed point theorems of concave operators in partial ordering Banach spaces, the existence and uniqueness of positive solutions to a class of four-point boundary value problem of Caputo fractional differential equations for any given parameter are established.

Journal ArticleDOI
TL;DR: Using the impulsive delay differential inequality technique, several sufficient conditions ensuring the exponential synchronization of chaotic delayed networks are derived, which can be easily checked by LMI Control Toolbox in Matlab.

Journal ArticleDOI
TL;DR: A novel adaptive synchronization controller is developed with a more general and simpler analytical expression, which does not contain the parameters of the complex network, and effective adaptive laws of parameters.

Journal ArticleDOI
TL;DR: A novel computer virus propagation model with a complex-network approach that possesses a unique (viral) equilibrium which is globally attractive is established.