Showing papers in "Applied Mathematics and Computation in 2017"

TL;DR: Fe3O4-water nanofluid flow in a cavity with constant heat flux is investigated using a control volume based finite element method (CVFEM) and results indicate that the temperature gradient is an increasing function of the buoyancy force and the volume fraction, but it is a decreasingfunction of the Lorentz force.

TL;DR: This paper focuses on reducing the conservatism of stability criteria by estimating the derivative of the LKF more accurately and theoretically proved that the GFWM approach is less conservative than the existing methods commonly used for the same task.

TL;DR: Investigation of the global dynamics of a general SIRS epidemic model with a ratio-dependent incidence rate and its corresponding stochastic differential equation version finds that random fluctuations introduced in the model can suppress disease outbreak, which can provide some useful control strategies to regulate disease dynamics.

TL;DR: This paper investigates the global asymptotic stability and stabilization of memristive neural networks (MNNs) with communication delays via event-triggered sampling control through a newly augmented Lyapunov-Krasovskii functional.

TL;DR: Results confirmed that neurons exposed to external electromagnetic field can induce phase synchronization and appropriate behaviors can be selected, and could give new mechanism explanation for phase synchronization by applying field coupling between neurons.

TL;DR: Asymptotic stabilities of nonlinear fractional difference equations are investigated and Lyapunov second direct method is proposed for nonlinear discrete fractional systems.

TL;DR: Current results are further conducive to understanding the universal and persuasive cooperation within many natural, biological, social and even man-made systems.

TL;DR: The stability and bifurcation of a class of delayed FCVNN is investigated for the first time, and it reveals that the onset of the bIfurcation point can be delayed as the order increases.

TL;DR: This paper investigates an issue of bifurcation control for a novel incommensurate fractional-order predator-prey system with time delay and it is shown that the control effort is markedly influenced by feedback gain.

TL;DR: This paper investigates two classes of synchronization problems of multiple chaotic systems with unknown uncertainties and disturbances by employing sliding mode control and Simulation results are given to illustrate the effectiveness of the proposed schemes by comparing with the existing methods.

TL;DR: The dynamics of a Cournot duopoly with relative profits maximizations and costs function with externalities is considered and results concerning the equilibria of the economic model and their stability are presented.

TL;DR: The discrete artificial bee colony optimization is the best-performing algorithm and it is able to improve 126 out of the 240 best known solutions for the benchmarks in the literature.

TL;DR: The present scheme is compared with the analytical solution and a number of existing numerical techniques to show the efficiency of ANNs with high accuracy, fast convergence and low use of memory for solving the FDEs.

TL;DR: Based on the theory of fractional calculus, impulsive differential equation and S-procedure, several sufficient criteria are established to guarantee the Mittag-Leffler stability for the addressed model with appropriate impulsive controller.

TL;DR: It is confirmed that the system can be switched between stable state, periodical state and even chaotic state by selecting appropriate initials even the parameters are fixed, and it is thought that nonlinear cross terms with higher order could account for the emergence of this behavior.

TL;DR: This paper describes the graphs with n vertices, minimum vertex degree ≥ 2, and m edges for m = 2 n − 4 and m =2 n − 3, that have maximum ABC index.

TL;DR: By constructing a novel Lyapunov functional, a sufficient criterion for the existence, uniqueness, and exponential stability for the equilibrium point of the considered system is derived and similar results are obtained for the exponential stability problem of delayed complex-valued BAM neural networks without memristors.

TL;DR: The genetic algorithm (GA) is employed to improve the multi-objective Pareto optimal design of group method of data handling (GMDH) neural network results and shows that GS-G MDH is more efficient than GMDH-PSO, with a high difference between predicted values.

TL;DR: This paper considers globally exponential synchronization of complex-valued complex dynamical networks with multiple time-varying delays and stochastic perturbations by designing a time-delayed impulsive control scheme using the advantage of Lyapunov method in complex field.

TL;DR: A novel piecewise time-dependent Lyapunov-Krasovskii functional (LKF) is constructed to fully capture the available characteristics of real sampling information and nonlinear function vector of the system.

TL;DR: A new Lyapunov–Krasovskii function is constructed with triple and four integral terms and then utilizing Wirtinger-type inequality technique to derive sufficient conditions for finite-time boundedness and finite- time passivity.

TL;DR: It is shown that Newman–Watts small-world feedforward neural networks yield the highest output correlation as well as the best output error parameters.

TL;DR: This paper investigates the event-triggered H ∞ control problem for networked discrete-time Markov jump systems subject to repeated scalar nonlinearities and proposes a co-design method using a diagonally-dominant-type Lyapunov functional.

TL;DR: In this paper, convergence capability of the conventional fractional order gradient methods (FOGMs) is analyzed and a new FOGM with guaranteed and faster convergence ability is proposed.

TL;DR: Under the complex network framework, a seasonal influenza-like disease model by incorporating the interplay between subsidy policies and human behavioral responses is studied, showing that there exist some optimal intermediate regions leading to the minimal social cost.

TL;DR: The corresponding conclusion is provided to ensure the delayed Cohen–Grossberg neural networks without reaction-diffusion term can reach fixed-time synchronization goal.

TL;DR: In this paper, the authors considered the structure of mixed metric generators and characterized graphs for which the mixed metric dimension equals the trivial lower and upper bounds, and proved that the problem of determining the mixed-metric dimension of a graph is NP-hard in the general case.

TL;DR: A numerical study of natural convection inside a porous wavy cavity filled with a nanofluid under the effect of thermal dispersion has been carried out using the Forchheimer–Buongiorno approach and it has been revealed the heat transfer enhancement with Rayleigh number, undulation number and dispersion parameter.

TL;DR: In this paper, the multistability problem is studied for an n-dimensional delayed complex-valued neural networks with two general classes of activation functions and some sufficient conditions are derived for the local exponential stability of some equilibria.

TL;DR: This paper derives a sufficient condition for the global exponential stability of this type of neural networks by using a matrix measure method, the Halanay inequality and some analytic techniques, and builds a Lyapunov functional.