4 papers
Spectral Analysis and its applications for a class of scale-free network based on the weighted m-clique annex operation
Zhizhuo Zhang, Jinde Cao, Bo Wu
The spectrum of network is an important tool to study the function and dynamic properties of network, and graph operation and product is an effective mechanism to construct a speci…
Periodic solutions and the avoidance of pull--in instability in non--autonomous micro--electro--mechanical systems
Shirali Kadyrov, Ardak Kashkynbayev, Piotr Skrzypacz +2
We study periodic solutions of a one-degree of freedom micro-electro-mechanical system (MEMS) with a parallel-plate capacitor under --periodic electrostatic forcing. We obtain a…
Persistence of Li-Yorke chaos in systems with relay
Marat Akhmet, Mehmet Onur Fen, Ardak Kashkynbayev
It is rigorously proved that the chaotic dynamics of the non-smooth system with relay function is persistent even if a chaotic perturbation is applied. We consider chaos in a modif…
Replication of Li-Yorke Chaos Near a Homoclinic Orbit
Marat Akhmet, Michal Fečkan, Mehmet Onur Fen +1
We prove the presence of chaos near a homoclinic orbit in the modified Li-Yorke sense [10] by implementing chaotic perturbations. A Duffing oscillator is considered to show the eff…