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We explore the dynamics of a class of mutualism-competition-predator interaction models with Beddington-DeAngelis functional responses and impulsive perturbations. Sufficient conditions for existence of positive periodic solution are established by using
Xiaoming Fan, Zhigang Wang, Fuquan Jiang
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Control of a Time Delay System Arising From Linearized Conservation Laws
A structure of energy cogeneration with distributed parameters is considered, modeled by an initial boundary value problem for hyperbolic conservation laws with a nonlinear and nonstandard boundary condition.
Daniela Danciu +2 more
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Lyapunov functions for linear nonautonomous dynamical equations on time scales [PDF]
The existence of a Lyapunov function is established following a method of Yoshizawa for the uniform exponential asymptotic stability of the zero solution of a nonautonomous linear dynamical equation on a time scale with uniformly bounded ...
Kloeden, Peter E., Zmorzynska, Alexandra
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Halanay type inequalities on time scales with applications
This paper aims to introduce Halanay type inequalities on time scales. By means of these inequalities we derive new global stability conditions for nonlinear dynamic equations on time scales. Giving several examples we show that beside generalization and
Adıvar, Murat, Bohner, Elvan Akın
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Long surface wave instability in dense granular flows [PDF]
In this paper we present an experimental study of the long surface wave instability that can develop when a granular material flows down a rough inclined plane.
Forterre, Y., Pouliquen, O.
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Locality and stability of the cascades of two-dimensional turbulence [PDF]
We investigate and clarify the notion of locality as it pertains to the cascades of two-dimensional turbulence. The mathematical framework underlying our analysis is the infinite system of balance equations that govern the generalized unfused structure ...
A. Kolmogorov +16 more
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We consider a differential-difference equation of second order of delay type, containing the delay of the function and its derivatives. Such equations occur in the modeling of electronic devices.
E. P. Kubyshkin, A. R. Moryakova
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Despite the fact that the theory of stability of continuous-time difference equations has a long history, is well developed and very popular in research, there is a simple and clearly formulated problem about the stability of stochastic difference ...
Leonid Shaikhet
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In the present work, a new dynamical model with a single rigid frame driven by two pairs of vibrators, of which each pair of vibrators is engaged with each other by gear mechanism, is proposed to explore the composite synchronization of the system.
Xueliang Zhang +4 more
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Buckling of Rectangular Plates under Nonlinear Creep
Introduction. The task of analyzing the stability of plates and shells under creep conditions is critical for structural elements made of materials with the property of aging, which are under the action of long-term loads, since the loss of stability can
S. B. Yazyev, A. S. Chepurnenko
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