activity
20022023
most citedNon-existence of periodic solutions in fractional-order dynamical systems and a remarkable difference between integer and fractional-order derivatives of periodic functions

180 citations · 483 across the 23 of their papers we have counts for

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Showing 2016Show all

6 papers · 1 filter

math.DS2016★ 23 cited

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…

math.OC2016

Stability analysis of a hypothalamic-pituitary-adrenal axis model with inclusion of glucocorticoid receptor and memory

Eva Kaslik, Dan Bogdan Navolan, Mihaela Neamtu

This paper analyzes a four-dimensional model of the hypothalamic-pituitary-adrenal (HPA) axis that includes the influence of the glucocorticoid receptor in the pituitary. Due to th…

q-bio.PE2016

A Comparison Between the Stability Properties in a DDE Model for Leukemia and the Modified Fractional Counterpart

Ileana Rodica Radulescu, Doina Candea, Eva Kaslik

In this paper, a delay differential equations (DDEs) model of leukemia is introduced and its dynamical properties are investigated in comparison with the modified fractional-order…

math.DS2016★ 13 cited

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…

math.DS2016★ 63 cited

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…

math.DS2016★ 45 cited

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…