Activation process in excitable systems with multiple noise sources: One and two interacting units
We consider the coaction of two distinct noise sources on the activation process of a single
excitable unit and two interacting excitable units, which are mathematically described by the …
excitable unit and two interacting excitable units, which are mathematically described by the …
Activation process in excitable systems with multiple noise sources: Large number of units
We study the activation process in large assemblies of type II excitable units whose
dynamics is influenced by two independent noise terms. The mean-field approach is applied …
dynamics is influenced by two independent noise terms. The mean-field approach is applied …
Noises-and delay-enhanced stability in a bistable dynamical system describing chemical reaction
In this paper, we consider the Schlögl model with time-delayed feedback to study the
switching behavior of a bistable chemical reaction system in the presence of cross …
switching behavior of a bistable chemical reaction system in the presence of cross …
Emergent bimodality and switch induced by time delays and noises in a synthetic gene circuit
Based on the kinetic model for obtaining emergent bistability proposed by Tan et al.(2009),
the effects of the fluctuations of protein synthesis rate and maximum dilution rate, the cross …
the effects of the fluctuations of protein synthesis rate and maximum dilution rate, the cross …
Impact of time delay in a stochastic gene regulation network
In this paper, stationary probability distribution (SPD), mean first passage time (MFPT) and
stochastic resonance (SR) phenomenon of an abstract model of the Myc/E2F/MiR-17-92 …
stochastic resonance (SR) phenomenon of an abstract model of the Myc/E2F/MiR-17-92 …
Mean-field dynamics of a population of stochastic map neurons
We analyze the emergent regimes and the stimulus-response relationship of a population of
noisy map neurons by means of a mean-field model, derived within the framework of …
noisy map neurons by means of a mean-field model, derived within the framework of …
Stability, coherent spiking and synchronization in noisy excitable systems with coupling and internal delays
I Franović, K Todorović, N Vasović, N Burić - Communications in Nonlinear …, 2014 - Elsevier
We study the onset and the adjustment of different oscillatory modes in a system of excitable
units subjected to two forms of noise and delays cast as external or internal according to …
units subjected to two forms of noise and delays cast as external or internal according to …
The transition between strong and weak chaos in delay systems: Stochastic modeling approach
We investigate the scaling behavior of the maximal Lyapunov exponent in chaotic systems
with time delay. In the large-delay limit, it is known that one can distinguish between strong …
with time delay. In the large-delay limit, it is known that one can distinguish between strong …
Persistence and failure of mean-field approximations adapted to a class of systems of delay-coupled excitable units
I Franović, K Todorović, N Vasović, N Burić - Physical Review E, 2014 - APS
We consider the approximations behind the typical mean-field model derived for a class of
systems made up of type II excitable units influenced by noise and coupling delays. The …
systems made up of type II excitable units influenced by noise and coupling delays. The …
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Namenjena je studentima doktorskih studija Saobracajnog fakulteta i studijskih programa
Rudarsko inzenjerstvo i Geotehnika Rudarsko-geološkog fakulteta Univerziteta u Beogradu …
Rudarsko inzenjerstvo i Geotehnika Rudarsko-geološkog fakulteta Univerziteta u Beogradu …