Second Order Nonlinear Oscillation - Deviating Arguments.
Slowly oscillating solutions for differential equations with strictly monotone operator.
Small amplitude critical periods in a cubic polynomial system.
Smooth linearization of centres
Solutions for a class of integro-differential equations with time periodic coefficients.
Solutions of a singular Cauchy problem for a nonlinear system of differential equations
Solutions series for some non-harmonic motion equations.
Some metric-singular properties of the graph of solutions of the one-dimensional -Laplacian.
Some oscillation theorems for second order differential equations
In this paper we establish some oscillation or nonoscillation criteria for the second order half-linear differential equation where (i) , and on for some ; (ii) for some fixed number . We also generalize some results of Hille-Wintner, Leighton and Willet.
Some remarks on a recent third order nonlinear oscillation result
Some results on the oscillatory and asymptotic behavior of the solutions of differential equations with deviating arguments
Spatio-Temporal Modelling of the p53–mdm2 Oscillatory System
In this paper we investigate the role of spatial effects in determining the dynamics of a subclass of signalling pathways characterised by their ability to demonstrate oscillatory behaviour. To this end, we formulate a simple spatial model of the p53 network that accounts for both a negative feedback and a transcriptional delay. We show that the formation of protein density patterns can depend on the shape of the cell, position of the nucleus, and the protein diffusion rates. The temporal...
Stability analysis of uncertain complex-variable delayed nonlinear systems via intermittent control with multiple switched periods
In this paper, an intermittent control approach with multiple switched periods is proposed for the robust exponential stabilization of uncertain complex-variable delayed nonlinear systems with parameters perturbation, in which the considered complex systems have bounded parametric uncertainties. Based on the Lyapunov stability theory and comparison theorem of differential equations, some stability criteria are established for a class of uncertain complex delayed nonlinear systems with parameters...
Stability implications on the asymptotic behavior of nonlinear systems.
Stable closed orbits in plane autonomous dynamical systems.
Strong oscillations for second order nonlinear functional differential equations.
Synchronization in ensembles of coupled maps with a major element.
Synchronization of fractional-order chaotic systems with multiple delays by a new approach
In this paper, we propose a new approach of designing a controller and an update rule of unknown parameters for synchronizing fractional-order system with multiple delays and prove the correctness of the approach according to the fractional Lyapunov stable theorem. Based on the proposed approach, synchronizing fractional delayed chaotic system with and without unknown parameters is realized. Numerical simulations are carried out to confirm the effectiveness of the approach.
Synchronization with error bound of non-identical forced oscillators
Synchronization with error bound of two non-identical forced oscillators is studied in the paper. By introducing two auxiliary autonomous systems, differential inequality technique and active control technique are used to deal with the synchronization of two non-identical forced oscillators with parameter mismatch in external harmonic excitations. Numerical simulations show the effectiveness of the proposed method.