Effect of initial conditions on Glauber dynamics in complex networks

We propose complex networks made with interacting fields, where the interaction dynamics at each individual node in the system has infinite degrees of freedom. We construct networks, based on the interactions between vector solitons, whose dynamics are governed by conservation laws. Hence, the dimensionality of the dynamics at each node is determined by the initial conditions, making the problem tractable. We present examples of small and large soliton-based networks, and demonstrate memory effects within them that are enormously enhanced by noise. Finally, we demonstrate that such networks, with infinite-dimensional dynamics, can exhibit spontaneous self-synchronization effects.

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OPINION DYNAMICS APPROACH FOR IDENTIFYING COMMUNITY STRUCTURES IN COMPLEX NETWORKS

Advances in Complex Systems ◽

10.1142/s0219525914500234 ◽

2014 ◽

Vol 17 (06) ◽

pp. 1450023 ◽

Cited By ~ 3

Author(s):

JAE KYUN SHIN

Keyword(s):

Monte Carlo ◽

Community Structure ◽

Complex Networks ◽

Initial Conditions ◽

Hierarchical Structures ◽

Opinion Dynamics ◽

Community Structures ◽

Dynamics Model ◽

Distance Data ◽

Dynamics Models

This paper suggests an opinion dynamics approach to define community structures in complex networks. If a typical opinion dynamics model is applied to a network with a community structure, the network can separate in two groups of nodes. Such bisection in a given network can arise in many different ways depending on the initial conditions. The opinion distance between two nodes is defined as the probability of disagreement, or the probability that the two nodes belong to different bisections in multiple Monte Carlo simulations. The communities can be defined in terms of the distance. Closer nodes belong to the same community. Three opinion dynamics models were tested to show how the method works. Through various example networks, it was shown that the distance data can be used as a unique metric for identifying hierarchical structures and overlapping nodes in networks, as well as for identifying the community structure itself.

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Complex Networks

10.1017/cbo9780511780356 ◽

2009 ◽

Cited By ~ 464

Author(s):

Reuven Cohen ◽

Shlomo Havlin

Keyword(s):

Complex Networks

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Assessment of Embedding Dimension and Sensitivity Initial Conditions Based on Statistical Tests

PsycEXTRA Dataset ◽

10.1037/e666962007-001 ◽

2006 ◽

Author(s):

Xavier Rifa-Ros ◽

Manel Viader-Junyen

Keyword(s):

Initial Conditions ◽

Statistical Tests ◽

Embedding Dimension

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Symmetry breaking in the double-well model: ohmic dissipation with unrelaxed (Feynman-Vernon) initial conditions

Journal de Physique ◽

10.1051/jphys:01989005007077500 ◽

1989 ◽

Vol 50 (7) ◽

pp. 775-781 ◽

Cited By ~ 4

Author(s):

V. Čápek

Keyword(s):

Symmetry Breaking ◽

Initial Conditions ◽

Ohmic Dissipation ◽

Well Model

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Sebuah Generalisasi Baru Barisan Fibonacci-Lucas

Talenta Conference Series Science and Technology (ST) ◽

10.32734/st.v2i2.478 ◽

2019 ◽

Vol 2 (2) ◽

Author(s):

Musraini M Musraini M ◽

Rustam Efendi ◽

Rolan Pane ◽

Endang Lily

Keyword(s):

Recurrence Relation ◽

Initial Conditions ◽

Lucas Sequence ◽

Binet’S Formula

Barisan Fibonacci dan Lucas telah digeneralisasi dalam banyak cara, beberapa dengan mempertahankan kondisi awal, dan lainnya dengan mempertahankan relasi rekurensi. Makalah ini menyajikan sebuah generalisasi baru barisan Fibonacci-Lucas yang didefinisikan oleh relasi rekurensi B_n=B_(n-1)+B_(n-2),n≥2 , B_0=2b,B_1=s dengan b dan s bilangan bulat tak negatif. Selanjutnya, beberapa identitas dihasilkan dan diturunkan menggunakan formula Binet dan metode sederhana lainnya. Juga dibahas beberapa identitas dalam bentuk determinan. The Fibonacci and Lucas sequence has been generalized in many ways, some by preserving the initial conditions, and others by preserving the recurrence relation. In this paper, a new generalization of Fibonacci-Lucas sequence is introduced and defined by the recurrence relation B_n=B_(n-1)+B_(n-2),n≥2, with , B_0=2b,B_1=s where b and s are non negative integers. Further, some identities are generated and derived by Binet’s formula and other simple methods. Also some determinant identities are discussed.

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Meningkatkan Kemampuan Guru dalam Menerapkan Model Pembelajaran Problem Centered Learning Melalui Focus Group Discission di Sekolah Dasar Negeri 187/X Bangun Karya Tahun 2019/2020

Jurnal Ilmiah Dikdaya ◽

10.33087/dikdaya.v10i1.162 ◽

2020 ◽

Vol 10 (1) ◽

pp. 86

Author(s):

Mujiem Mujiem

Keyword(s):

Elementary School ◽

Action Research ◽

Focus Group ◽

Initial Conditions ◽

Learning Model ◽

Class Action ◽

Learning Activities ◽

Implementation Phase ◽

The Subject ◽

Academic Year

This research is a classroom action research that aims to improve the ability of teachers to apply the problem centered learning model of learning in the Elementary School 187/ X Bangun Karya, Academic Year 2019/2020. The subject of this study was a teacher at 187 / X Bangun Karya Elementary School, Rantau Rasau District, Tanjung Jabung Timur District, Jambi Province. This class action research was carried out in two cycles, each cycle consisting of two meetings. The results of the evaluation are converted into a recapitulation table of the results of cycle I. The conversion results state that the research has not yet reached the target, it needs to be continued with cycle II. The results of observers in the implementation phase of the second cycle showed that all parts of the learning activities were going well, so that there were no more parts of the learning activities that needed to be improved. While the results of the second cycle are converted with the results of the recapitulation table states that the study has reached the target limit of completeness criteria in the first cycle that is equal to 50% and an average of 68.7 in the initial conditions of improvement in the second cycle completeness criteria to be 100% and the average namely 91.7 states that the Focus Group Discission can improve the ability of teachers to apply the Problem Centered Learning learning model in learning in 187 / X Public Elementary School Build Work Year 2019/2020.

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