O některých nelineárních diferenciálních rovnicích třetího řádu
O některých vlastnostech lineárních diferenciálních rovnic
Observer-based adaptive sliding mode fault-tolerant control for the underactuated space robot with joint actuator gain faults
An adaptive sliding mode fault-tolerant controller based on fault observer is proposed for the space robots with joint actuator gain faults. Firstly, the dynamic model of the underactuated space robot is deduced combining conservation law of linear momentum with Lagrange method. Then, the dynamic model of the manipulator joints is obtained by using the mathematical operation of the block matrices, hence the measurement of the angular acceleration of the base attitude can be omitted. Subsequently,...
On a codimension three bifurcation
On a generalized time-varying SEIR epidemic model with mixed point and distributed time-varying delays and combined regular and impulsive vaccination controls.
On a geometrical study of population ecosystems.
On a “Liapunov like” function for an equation with a complex-valued function
On a periodic predator-prey system with Holling III functional response and stage structure for prey.
On a periodic time-dependent model of population dynamics with stage structure and impulsive effects.
On a singular perturbed differential delay equation
On a Theorem by W. Hahn.
On algebraic approach in quadratic systems.
On almost specification and average shadowing properties
We study relations between the almost specification property, the asymptotic average shadowing property and the average shadowing property for dynamical systems on compact metric spaces. We show implications between these properties and relate them to other important notions such as shadowing, transitivity, invariant measures, etc. We provide examples showing that compactness is a necessary condition for these implications to hold. As a consequence, we also obtain a proof that limit shadowing in...
On an asymptotic behaviour of solutions of the differential equation of the fourth order
On asymptotic behavior of solutions of second order linear differential equations.
On asymptotic behaviour of oscillatory solutions for fourth order differential equations.
On asymptotic decaying solutions for a class of second order differential equations
The author considers the quasilinear differential equations By means of topological tools there are established conditions ensuring the existence of nonnegative asymptotic decaying solutions of these equations.
On asymptotic properties of a strongly nonlinear differential equation
The paper describes asymptotic properties of a strongly nonlinear system , . The existence of an parametric family of solutions tending to zero is proved. Conditions posed on the system try to be independent of its linear approximation.
On certain asymptotic properties of the solutions of the equation with a complex-valued function
On Chaotic Subthreshold Oscillations in a Simple Neuronal Model
In a simple FitzHugh-Nagumo neuronal model with one fast and two slow variables, a sequence of period-doubling bifurcations for small-scale oscillations precedes the transition into the spiking regime. For a wide range of values of the timescale separation parameter, this scenario is recovered numerically. Its relation to the singularly perturbed integrable system is discussed.