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In this paper, fuzzy cellular neural networks with time-varying delays in leakage terms are investigated. With the help of the differential inequality theory and almost periodic function theory, a set of sufficient criteria that guarantee the existence and exponential stability of almost periodic solutions of fuzzy cellular neural networks with time-varying delays in leakage terms are established. Our results are new and complement some previously known ones. Moreover, numerical simulations are carried out to verify our theoretical results. [ABSTRACT FROM AUTHOR]

In this paper, a class of fuzzy cellular neural networks with proportional delays are considered. Applying the differential inequality theory and constructing Lyapunov functional, some sufficient criteria which ensure the global exponential periodicity of fuzzy cellular neural networks with proportional delays are established. Numerical simulations are carried out to illustrate our theoretical predictions. Compared with the previous works, the main contributions lies in: (1) it is the first to deal with the global exponential periodicity of fuzzy cellular neural networks with proportional delays; (2) some new sufficient criteria to ensure the global exponential periodicity of fuzzy cellular neural networks with proportional delays are established; (3) the obtained results of this paper are new and complement some existing ones. [ABSTRACT FROM AUTHOR]

In this paper, a class of fuzzy cellular neural networks (FCNNs) with proportional delays and impulsive effects are discussed. With the help of the differential inequality theory, a set of sufficient criteria which ensure the global exponential convergence of the fuzzy cellular neural networks with proportional delays and impulsive effects are established. Numerical simulations are conducted to test our theoretical analysis. The results achieved are new and complement some existing works. [ABSTRACT FROM AUTHOR]

In this paper, fuzzy cellular neural networks with distributed delays and variable coefficients are studied. Applying Gaines and Mawhin's continuation theorem of coincidence degree theory, the method of Lyapunov function and the elementary inequality 2xy ≤ x² + y², we establish some sufficient conditions which ensure the existence and global exponential stability of periodic solution of such fuzzy cellular neural networks with distributed delays and variable coefficients. These sufficient conditions, which are easily checked in practice by simple algebra methods, have a wide range of application. An example with its numerical simulations is given to show the feasibility of the obtained theoretical predictions. The results obtained in this article are completely new and complement the previously known studies. [ABSTRACT FROM AUTHOR]

In this letter, we deal with a class of memristor-based neural networks with distributed leakage delays. By applying a new Lyapunov function method, we obtain some sufficient conditions that ensure the existence, uniqueness, and global exponential stability of almost periodic solutions of neural networks. We apply the results of this solution to prove the existence and stability of periodic solutions for this delayed neural network with periodic coefficients. We then provide an example to illustrate the effectiveness of the theoretical results. Our results are completely new and complement the previous studies Chen, Zeng, and Jiang (2014) and Jiang, Zeng, and Chen (2015). [ABSTRACT FROM AUTHOR]

This article concerns Liénard-type systems with time-varying de-lays. By applying the theory of exponential dichotomies, the properties of pseudo almost periodic function, inequality analysis techniques, and contrac tion mapping principle, new criteria for the existence and uniqueness of pseudo almost periodic solutions are established. An example is given to illustrate the theoretical findings. [ABSTRACT FROM AUTHOR]

This paper is concerned with cellular neural networks with proportional delays. The proportional delay is a time-varying unbounded delay which is different from the constant delay, bounded time-varying delay and distributed delay. Using matrix measure and generalized Halanay inequality, some sufficient conditions are obtained to ensure the pth exponential stability of cellular neural networks with proportional delays. The obtained results are simple and easy to be verified. An example is given to illustrate the effectiveness of the obtained results. This paper ends with a brief conclusion. [ABSTRACT FROM AUTHOR]

In this paper, a neutral multi-species logarithmic population model is investigated. By applying the matrix's spectral theory which is different from the methods employed in the literature, a set of sufficient conditions are obtained for the existence and uniqueness of almost periodic solution of the neutral multi-species logarithmic population model. The obtained sufficient conditions are given in terms of spectral radius of explicit matrices which are much different from those by the algebraic inequalities. An example is given to illustrate the feasibility and effectiveness of the obtained results. The results of this paper are completely new and generalize those of the previous studies. [ABSTRACT FROM AUTHOR]

In this paper, cellular neural networks(CNNs) with time-varying leakage delays on time scales are investigated. By applying the existence of the exponential dichotomy of linear dynamic equations on time scales, fixed point theorem and the theory of calculus on time scales, a set of sufficient conditions are obtained for the existence and exponential stability of almost automorphic solutions for the model.Anexample with its numerical simulations is given to illustrate the feasibility and effectiveness of the obtained results. [ABSTRACT FROM AUTHOR]

In this article we study a cellular neural network with impulsive effects. By using differential inequality techniques, we obtain verifiable crite- ria on the existence and exponential stability of anti-periodic solutions. An example is included to illustrate the feasibility and of our main results. [ABSTRACT FROM AUTHOR]

In this paper, we study an Nicholson-type delay system with delays. New criteria for the boundedness and exponential stability of positive solutions of Nicholson-type system with time-varying delays are established by applying the fundamental solution matrix, inequality techniques and Lyapunov method. Two examples with their computer simulations are presented to illustrate the effectiveness of the theoretical findings. Our results are new and supplement some previously known ones. [ABSTRACT FROM AUTHOR]

This paper deals with a delayed three-level food chain model with Beddington-DeAngelis functional response. By using the differential inequality theory, a set of sufficient conditions are obtained for the permanence of the system. By constructing a suitable Liapunov function, we derive that the system has a unique asymptotically periodic solution which is globally asymptotically stable. An example is given to illustrate the effectiveness of the results. The paper ends with a brief conclusion. [ABSTRACT FROM AUTHOR]

In this letter, a class of Cohen-Grossberg shunting inhibitory neural networks with time-varying delays and impulses is investigated. Sufficient conditions for the existence and exponential stability of antiperiodic solutions of such a class of neural networks are established. Our results are new and complementary to previously known results. An example is given to illustrate the feasibility and effectiveness of our main results. [ABSTRACT FROM AUTHOR]

This paper is devoted to investigate the problem of controlling chaos in a 3D ratio-dependent food chain system. Time-delayed feedback control method is applied to suppress chaos to unstable equilibria or unstable periodic orbits. By local stability analysis, we theoretically prove the occurrences of Hopf bifurcation. Some numerical simulations are presented to support theoretical predictions. Finally, main conclusions are drawn. [ABSTRACT FROM AUTHOR]