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6 papers · 2 filters
Stability properties of a two-dimensional system involving one Caputo derivative and applications to the investigation of a fractional-order Morris-Lecar neuronal model
Oana Brandibur, Eva Kaslik
Necessary and sufficient conditions are given for the asymptotic stability and instability of a two-dimensional incommensurate order autonomous linear system, which consists of a d…
Stability and Hopf bifurcation analysis for the hypothalamic-pituitary-adrenal axis model with memory
Eva Kaslik, Mihaela Neamtu
This paper generalizes the existing minimal model of the hypothalamic-pituitary-adrenal (HPA) axis in a realistic way, by including memory terms: distributed time delays, on one ha…
Dynamics of complex-valued fractional-order neural networks
Eva Kaslik, Ileana Rodica Radulescu
The dynamics of complex-valued fractional-order neuronal networks are investigated, focusing on stability, instability and Hopf bifurcations. Sufficient conditions for the asymptot…
A stability criterion for non-degenerate equilibrium states of completely integrable systems
Razvan M. Tudoran
We provide a criterion in order to decide the stability of non-degenerate equilibrium states of completely integrable systems. More precisely, given a Hamilton-Poisson realization…
Analysis of two- and three-dimensional fractional-order Hindmarsh-Rose type neuronal models
Eva Kaslik
A theoretical analysis of two- and three-dimensional fractional-order Hindmarsh-Rose neuronal models is presented, focusing on stability properties and occurrence of Hopf bifurcati…
Bifurcations of limit cycles of perturbed completely integrable systems
Răzvan M. Tudoran, Anania Gîrban
The main purpose of this article is to study from the geometric point of view the problem of limit cycles bifurcation of perturbed completely integrable systems.