Degenerated singular cycles of inclination-flip type
Démonstration de quelques théorèmes sur les équations différentielles
Density of chaotic dynamics in periodically forced pendulum-type equations
We announce that a class of problems containing the classical periodically forced pendulum equation displays the main features of chaotic dynamics for a dense set of forcing terms in a space of periodic functions with zero mean value. The approach is based on global variational methods.
Der verallgemeinerte Ljapunovsche Oszillationssatz
Determination of coupled sway, roll, and yaw motions of a floating body in regular waves.
Deterministic Chaos vs. Stochastic Fluctuation in an Eco-epidemic Model
An eco-epidemiological model of susceptible Tilapia fish, infected Tilapia fish and Pelicans is investigated by several author based upon the work initiated by Chattopadhyay and Bairagi (Ecol. Model., 136, 103–112, 2001). In this paper, we investigate the dynamics of the same model by considering different parameters involved with the model as bifurcation parameters in details. Considering the intrinsic growth rate of susceptible Tilapia fish as bifurcation parameter, we demonstrate the period doubling...
Devil's staircase route to chaos in a forced relaxation oscillator
We use one-dimensional techniques to characterize the Devil’s staircase route to chaos in a relaxation oscillator of the van der Pol type with periodic forcing term. In particular, by using symbolic dynamics, we give the behaviour for certain range of parameter values of a Cantor set of solutions having a certain rotation set associated to a rational number. Finally, we explain the phenomena observed experimentally in the system by Kennedy, Krieg and Chua (in [10]) related with the appearance of...
Die algebraische Struktur der allgemeinen Kummerschen Transformationen
Die Eindeutigkeit des Grenzzyklus bei der Liénardschen Differentialgleichung.
Die möglichen Wachstumsordnungen der Lösungen von linearen Differentialgleichungen.
Differential equations with infinite number of limit cycles
Differential growth models for microbial populations
Two models of microbial growth are derived as a resuslt of a discussion of the models of Monod and Hinshelwood types. The approach takes account of the lyse of dead cells in inhibitory products as well as in those which stimulate the growth. The asymptotic behaviour of the models is proved and the models applied to a chemostat.
Differential-algebraic equations in the theory of invariant manifolds for singular equations.
Diffusive synchronization of hyperchaotic Lorenz systems.
Disconjugacy and disfocality criteria for second order singular half-linear differential equations
We establish Vallée Poussin type disconjugacy and disfocality criteria for the half-linear second order differential equation , where α ∈ (0,1] and the functions are allowed to have singularities at the end points t = a, t = b of the interval under consideration.
Disconjugacy criteria for linear vector differential equations
Disconjugate operators and related differential equations.
Diskonjugierte Differentialgleichungen 2. Ordnung im Komplexen.
Diskonjugovaná a nekritická komplexná diferenciálna rovnica
Dispersions for linear differential equations of arbitrary order
For linear differential equations of the second order in the Jacobi form O. Borvka introduced a notion of dispersion. Here we generalize this notion to certain classes of linear differential equations of arbitrary order. Connection with Abel’s functional equation is derived. Relations between asymptotic behaviour of solutions of these equations and distribution of zeros of their solutions are also investigated.