Dynamical systems with newtonian type potentials
Dynamical systems with several equilibria and natural Liapunov functions
Dynamical systems with several equilibria occur in various fields of science and engineering: electrical machines, chemical reactions, economics, biology, neural networks. As pointed out by many researchers, good results on qualitative behaviour of such systems may be obtained if a Liapunov function is available. Fortunately for almost all systems cited above the Liapunov function is associated in a natural way as an energy of a certain kind and it is at least nonincreasing along systems solutions....
Dynamics analysis and robust modified function projective synchronization of Sprott E system with quadratic perturbation
Hopf bifurcation, dynamics at infinity and robust modified function projective synchronization (RMFPS) problem for Sprott E system with quadratic perturbation were studied in this paper. By using the method of projection for center manifold computation, the subcritical and the supercritical Hopf bifurcation were analyzed and obtained. Then, in accordance with the Poincare compactification of polynomial vector field in , the dynamical behaviors at infinity were described completely. Moreover, a...
Dynamics and thresholds of a simple epidemiological model: example of HIV/AIDS in mali.
Dynamics for a discrete competition and cooperation model of two enterprises with multiple delays and feedback controls
This paper is concerned with a competition and cooperation model of two enterprises with multiple delays and feedback controls. With the aid of the difference inequality theory, we have obtained some sufficient conditions which guarantee the permanence of the model. Under a suitable condition, we prove that the system has global stable periodic solution. The paper ends with brief conclusions.
Dynamics in a discrete predator-prey system with infected prey
In this paper, a discrete version of continuous non-autonomous predator-prey model with infected prey is investigated. By using Gaines and Mawhin's continuation theorem of coincidence degree theory and the method of Lyapunov function, some sufficient conditions for the existence and global asymptotical stability of positive periodic solution of difference equations in consideration are established. An example shows the feasibility of the main results.
Dynamics of a class of uncertain nonlinear systems under flow-invariance constraints.
Dynamics of a nonautonomous semiratio-dependent predator-prey system with nonmonotonic functional responses.
Dynamics of a system of nonlinear differential equations.
Dynamics of logistic equations with non-autonomous bounded coefficients.
Dynamics of polynomial systems at infinity.
Dynamics of species in a nonautonomous Lotka-Volterra system.
Dynamics of systems with Preisach memory near equilibria
We consider autonomous systems where two scalar differential equations are coupled with the input-output relationship of the Preisach hysteresis operator, which has an infinite-dimensional memory. A prototype system of this type is an LCR electric circuit where the inductive element has a ferromagnetic core with a hysteretic relationship between the magnetic field and the magnetization. Further examples of such systems include lumped hydrological models with two soil layers; they can also appear...
Editorial
Effect of nonlinear perturbations on second order linear nonoscillatory differential equations.
Effect of randomly fluctuating environment on autotroph-herbivore model system.
Effective Computation of Periodic Orbits and Bifurcation Diagrams in Delay Equations.
Effective computation of the first Lyapunov quantities for a planar differential equation
We take advantage of the complex structure to compute in a short way and without using any computer algebra system the Lyapunov quantities and for a general smooth planar system.
Eigenvalues of the -Laplacian and disconjugacy criteria.
Eighty fifth anniversary of birthday and scientific legacy of Professor Miloš Ráb
The paper is concentrated on Professor Miloš Ráb and his contribution to the theory of oscillatory properties of solutions of second and third order linear differential equations, the theory of differential equations with complex coefficients and dynamical systems, and the theory of nonlinear second order differential equations. At the beginning, we take a brief look at the most important moments in his life. Afterwards, we describe his scientific activities on mentioned theories.