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Wyszukujesz frazę "Lyapunov exponents" wg kryterium: Temat


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Tytuł:
Response of Lyapunov exponents to diffusion state of biological networks
Autorzy:
Altuntas, Volkan
Gok, Murat
Kocal, Osman Hilmi
Powiązania:
https://bibliotekanauki.pl/articles/1838156.pdf
Data publikacji:
2020
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
synthetic network
biological network
Lyapunov exponents
sieć syntetyczna
sieć biologiczna
wykładniki Lapunova
Opis:
The topologies of protein-protein interaction networks are uncertain and noisy. The network topology determines the reliability of computational knowledge acquired from noisy networks and can impose the deterministic and non-deterministic character of the resulting data. In this study, we analyze the effect of the network topology on Lyapunov exponents and its relationship with network stability. We define the methodology to convert the network data into signal data and obtain the Lyapunov exponents for a variety of networks. We then compare the Lyapunov exponent response and the stability results. Our technique can be applied to all types of network topologies as demonstrated with our experiments, conducted on both synthetic and real networks from public databases. For the first time, this article presents findings where Lyapunov exponents are evaluated under topological mutations and used for network analysis. Experimental results show that Lyapunov exponents have a strong correlation with network stability and both are correlatively affected by the network model. Hence we develop a novel coefficient, termed LEC, to measure the robustness of biological networks. LEC can be applied to real or synthetic biological networks rapidly. Results are a striking indication that the Lyapunov exponent is a potential candidate measure for network analysis.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2020, 30, 4; 689-702
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Simple environment for developing methods of controlling chaos in spatially distributed systems
Autorzy:
Korus, Ł.
Powiązania:
https://bibliotekanauki.pl/articles/907826.pdf
Data publikacji:
2011
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
stabilność układu
wykładnik Lapunowa
metoda Lyapunova
coupled map lattice
spatiotemporal chaos
system stability
Lyapunov exponents
net direction phase
Opis:
The paper presents a simple mathematical model called a coupled map lattice (CML). For some range of its parameters, this model generates complex, spatiotemporal behavior which seems to be chaotic. The main purpose of the paper is to provide results of stability analysis and compare them with those obtained from numerical simulation. The indirect Lyapunov method and Lyapunov exponents are used to examine the dependence on initial conditions. The net direction phase is introduced to measure the symmetry of the system state trajectory. In addition, a real system, which can be modeled by the CML, is presented. In general, this article describes basic elements of environment, which can be used for creating and examining methods of chaos controlling in systems with spatiotemporal dynamics.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2011, 21, 1; 149-159
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-2 z 2

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