Eroğlu, Deniz

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Deniz, Eroglu
Eroglu,D.
Eroğlu, DENIZ
DENIZ EROĞLU
Eroglu, Deniz
Eroglu D.
EROĞLU, DENIZ
Eroğlu,D.
Deniz EROĞLU
Eroğlu, D.
Eroğlu, Deniz
Deniz Eroğlu
E., Deniz
EROĞLU, Deniz
E.,Deniz
D. Eroğlu
Eroglu,Deniz
Eroğlu, Deniz
Job Title
Dr. Öğr. Üyesi
Email Address
deniz.eroglu@khas.edu.tr
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Molecular Biology and Genetics
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ORCID ID
0000-0001-6725-6949
Scopus Author ID
37006533200
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20

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17

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105

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Author: Pereira, TiagoSubject: Eigenvalue modification

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    Article
    Citation - WoS: 1
    Citation - Scopus: 0
    Cycle-Star Motifs: Network Response To Link Modifications
    (Springer, 2024) Bakrani, Sajjad; Eroğlu, Deniz; Kiran, Narcicegi; Eroglu, Deniz; Pereira, Tiago
    Understanding efficient modifications to improve network functionality is a fundamental problem of scientific and industrial interest. We study the response of network dynamics against link modifications on a weakly connected directed graph consisting of two strongly connected components: an undirected star and an undirected cycle. We assume that there are directed edges starting from the cycle and ending at the star (master-slave formalism). We modify the graph by adding directed edges of arbitrarily large weights starting from the star and ending at the cycle (opposite direction of the cutset). We provide criteria (based on the sizes of the star and cycle, the coupling structure, and the weights of cutset and modification edges) that determine how the modification affects the spectral gap of the Laplacian matrix. We apply our approach to understand the modifications that either enhance or hinder synchronization in networks of chaotic Lorenz systems as well as R & ouml;ssler. Our results show that the hindrance of collective dynamics due to link additions is not atypical as previously anticipated by modification analysis and thus allows for better control of collective properties.