Stochastically perturbed allelopathic phytoplankton model.
Strategies for computation of Lyapunov exponents estimates from discrete data
The Lyapunov exponents (LE) provide a simple numerical measure of the sensitive dependence of the dynamical system on initial conditions. The positive LE in dissipative systems is often regarded as an indicator of the occurrence of deterministic chaos. However, the values of LE can also help to assess stability of particular solution branches of dynamical systems. The contribution brings a short review of two methods for estimation of the largest LE from discrete data series. Two methods are analysed...
Stress-controlled hysteresis and long-time dynamics of implicit differential equations arising in hypoplasticity
A long-time dynamic for granular materials arising in the hypoplastic theory of Kolymbas type is investigated. It is assumed that the granular hardness allows exponential degradation, which leads to the densification of material states. The governing system for a rate-independent strain under stress control is described by implicit differential equations. Its analytical solution for arbitrary inhomogeneous coefficients is constructed in closed form. Under cyclic loading by periodic pressure, finite...
Strict disconjugacy of -th order linear differential equations with delays
Strong oscillations for second order nonlinear functional differential equations.
Studies on the differential equations of enzyme kinetics. I. Bimolecular scheme: simplified model.
Studio asintotico del moto di un punto su una linea chiusa, per azione di forze indipendenti dal tempo
Studium des Resonanzfalles bei gewöhnlichen linearen reduzierten Differentialgleichungen mit periodischen Koeffizienten
Study of a prey-predator dynamics under the simultaneous effect of toxicant and disease.
Sturmian theorems for systems of differential equations.
Sturmian theory and transformations for the Riccati equation
Sturm-Picone comparison theorem of second-order linear equations on time scales.
Sturm's theorem for equations with delayed argument.
Su alcuni criteri di oscillazione per le equazioni differenziali lineari del secondo ordine
Subgroups of odd depth—a necessary condition
This paper gives necessary and sufficient conditions for subgroups with trivial core to be of odd depth. We show that a subgroup with trivial core is an odd depth subgroup if and only if certain induced modules from it are faithful. Algebraically this gives a combinatorial condition that has to be satisfied by the subgroups with trivial core in order to be subgroups of a given odd depth. The condition can be expressed as a certain matrix with -entries to have maximal rank. The entries of the matrix...
Subharmonic solutions for hamiltonian systems via a pseudoindex theory
Subharmonic solutions of a nonconvex noncoercive hamiltonian system
In this paper we study the existence of subharmonic solutions of the hamiltonian systemwhere is a linear map, is a -function and is a continuous function.
Subharmonic solutions of a nonconvex noncoercive Hamiltonian system
In this paper we study the existence of subharmonic solutions of the Hamiltonian system where u is a linear map, G is a C1-function and e is a continuous function.
Subharmonics near an equilibrium point for Hamiltonian systems.
Sufficient and necessary condition for the permanence of periodic predator-prey system.