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Recently, different approaches have been proposed for studying basic properties of time series from a complex network perspective. In this work, the corresponding potentials and limitations of networks based on recurrences in phase space…

混沌动力学 · 物理学 2010-01-27 Reik V. Donner , Yong Zou , Jonathan F. Donges , Norbert Marwan , Juergen Kurths

This study introduces a pore morphology algorithm that emphasizes the central role of topology in multiphase flow through porous media. Analysis of drainage in lattice-based pore networks identifies two key quantities, the percolation…

统计力学 · 物理学 2025-08-27 Fernando Alonso-Marroquin

The phase ordering dynamics of coupled chaotic maps on fractal networks are investigated. The statistical properties of the systems are characterized by means of the persistence probability of equivalent spin variables that define the…

混沌动力学 · 物理学 2007-05-23 K. Tucci , M. G. Cosenza , O. Alvarez-Llamoza

Symmetry-protected topological (SPT) phases exhibit nontrivial order if symmetry is respected but are adiabatically connected to the trivial product phase if symmetry is not respected. However, unlike the symmetry-breaking phase, there is…

强关联电子 · 物理学 2016-05-04 Ching-Yu Huang , Tzu-Chieh Wei

We give a number of explicit matrix-algorithms for analysis/synthesis in multi-phase filtering; i.e., the operation on discrete-time signals which allow a separation into frequency-band components, one for each of the ranges of bands, say…

泛函分析 · 数学 2014-12-10 Palle Jorgensen , Myung-Sin Song

An abstract network approach is proposed for the description of the dynamics in reactive processes. The phase space of the variables (concentrations in reactive systems) is partitioned into a finite number of segments, which constitute the…

统计力学 · 物理学 2015-06-17 A. Provata , E. Panagakou

Networks with phase-valued nodal variables are central in modeling several important societal and physical systems, including power grids, biological systems, and coupled oscillator networks. One of the distinctive features of phase-valued…

最优化与控制 · 数学 2020-09-15 Saber Jafarpour , Elizabeth Y. Huang , Kevin D. Smith , Francesco Bullo

This paper presents a new approach for analysing structural properties of time series from complex systems. Starting from the concept of recurrences in phase space, the recurrence matrix of a time series is interpreted as the adjacency…

混沌动力学 · 物理学 2011-03-03 Reik V. Donner , Y. Zou , Jonathan F. Donges , Norbert Marwan , Juergen Kurths

Can the topology of a network that consists of many particles interacting with each other change in complexity when a phase transition occurs? The answer to this question is particularly interesting to understand the nature of phase…

统计力学 · 物理学 2014-08-12 Chung-Pin Chou

This paper proposes a theory for designing stable interconnection of linear active multi-port networks at the ports. Such interconnections can lead to unstable networks even if the original networks are stable with respect to bounded port…

系统与控制 · 计算机科学 2016-06-13 Mayuresh Bakshi , Virendra Sule , Maryam Shoejai Baghini

Consumers with low demand, like households, are generally supplied single-phase power by connecting their service mains to one of the phases of a distribution transformer. The distribution companies face the problem of keeping a record of…

机器学习 · 计算机科学 2016-06-08 P Satya Jayadev , Aravind Rajeswaran , Nirav P Bhatt , Ramkrishna Pasumarthy

This paper presents conservative probabilistic bounds for the spectrum of the admittance matrix and classical linear power flow models under uncertain network parameters; for example, probabilistic line contingencies. Our proposed approach…

With the increasing penetration of converter-interfaced distributed generation systems, it would be advantageous to specify local compliance criteria for these devices to ensure the small-signal stability of the interconnected system.…

系统与控制 · 电气工程与系统科学 2022-07-21 Kaustav Dey , Anil Kulkarni

Network coherence generally refers to the emergence of simple aggregated dynamical behaviours, despite heterogeneity in the dynamics of the subsystems that constitute the network. In this paper, we develop a general frequency domain…

系统与控制 · 电气工程与系统科学 2023-02-17 Hancheng Min , Richard Pates , Enrique Mallada

Maximal monotonicity is explored as a generalization of the linear theory of passivity, aiming at an algorithmic input/output analysis of physical models. The theory is developed for maximal monotone one-port circuits, formed by the series…

系统与控制 · 电气工程与系统科学 2023-05-09 Thomas Chaffey , Rodolphe Sepulchre

We find a heterogeneity in both complex and real valued neural networks with the insight from wave optics, claiming a much more important role of phase than its amplitude counterpart in the weight matrix. In complex-valued neural networks,…

机器学习 · 计算机科学 2021-11-30 Yuqi Nie , Hui Yuan

This paper introduces a new class of efficient inter connection networks called as M-graphs for large multi-processor systems.The concept of M-matrix and M-graph is an extension of Mn-matrices and Mn-graphs.We analyze these M-graphs…

信息论 · 计算机科学 2007-07-13 R. N. Mohan , P. T. Kulkarni

Multi-stability is a widely observed phenomenon in real complex networked systems, such as technological infrastructures, ecological systems, gene regulation, transportation and more. When a system functions normally but there exists also a…

物理与社会 · 物理学 2022-05-27 Hillel Sanhedrai , Shlomo Havlin

Networks of coupled phase oscillators are one of the most studied dynamical systems with numerous applications in physics, chemistry, biology, and engineering. Their behaviour is often characterized by the emergence of various partially…

斑图形成与孤子 · 物理学 2026-02-27 Oleh E. Omel'chenko

Temporal networks are a class of time-varying networks, which change their topology according to a given time-ordered sequence of static networks (known as subsystems). This paper investigates the reachability and controllability of…

系统与控制 · 电气工程与系统科学 2024-05-27 Yuan Zhang , Yuanqing Xia , Long Wang
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