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Exponential stability via aperiodically intermittent control of complex-variable time delayed chaotic systems

Song Zheng (2020)

Kybernetika

This paper focuses on the problem of exponential stability analysis of uncertain complex-variable time delayed chaotic systems, where the parameters perturbation are bounded assumed. The aperiodically intermittent control strategy is proposed to stabilize the complex-variable delayed systems. By taking the advantage of Lyapunov method in complex field and utilizing inequality technology, some sufficient conditions are derived to ensure the stability of uncertain complex-variable delayed systems,...

Extension of the Bernstein condition to systems of ordinary differential equations of general form.

Lepin, A.Ja., Myshkis, A.D. (2000)

Zeitschrift für Analysis und ihre Anwendungen

Extinction and permanence of a three-species Lotka-Volterra system with impulsive control strategies.

Baek, Hunki (2008)

Discrete Dynamics in Nature and Society

Extinction in a generalized Lotka-Volterra predator-prey model.

Ackleh, Azmy S., Marshall, David F., Heatherly, Henry E. (2000)

Journal of Applied Mathematics and Stochastic Analysis

Extinction of a two species non-autonomous competitive system with Beddington-DeAngelis functional response and the effect of toxic substances

Fengde Chen, Xiaoxing Chen, Shouying Huang (2016)

Open Mathematics

A two species non-autonomous competitive phytoplankton system with Beddington-DeAngelis functional response and the effect of toxic substances is proposed and studied in this paper. Sufficient conditions which guarantee the extinction of a species and global attractivity of the other one are obtained. The results obtained here generalize the main results of Li and Chen [Extinction in two dimensional nonautonomous Lotka-Volterra systems with the effect of toxic substances, Appl. Math. Comput. 182(2006)684-690]....

Extremal properties of distance-based graph invariants for $k$ -trees

Minjie Zhang, Shuchao Li (2018)

Mathematica Bohemica

Sharp bounds on some distance-based graph invariants of $n$ -vertex $k$ -trees are established in a unified approach, which may be viewed as the weighted Wiener index or weighted Harary index. The main techniques used in this paper are graph transformations and mathematical induction. Our results demonstrate that among $k$ -trees with $n$ vertices the extremal graphs with the maximal and the second maximal reciprocal sum-degree distance are coincident with graphs having the maximal and the second maximal reciprocal...