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Dynamics in biological networks are in general robust against several perturbations. We investigate a coupled map network as a model motivated by gene regulatory networks and design systems which are robust against phenotypic perturbations…

分子网络 · 定量生物学 2015-03-20 Nen Saito , Macoto Kikuchi

Natural systems are remarkably robust and resilient, maintaining essential functions despite variability, uncertainty, and hostile conditions. Understanding these nonlinear, dynamic behaviours is challenging because such systems involve…

数学物理 · 物理学 2025-12-02 Daniele Proverbio , Rami Katz , Giulia Giordano

The relation between network structure and dynamics is determinant for the behavior of complex systems in numerous domains. An important long-standing problem concerns the properties of the networks that optimize the dynamics with respect…

适应与自组织系统 · 物理学 2017-12-07 Takashi Nishikawa , Jie Sun , Adilson E. Motter

Most complex systems are nonlinear, relying on emergent behavior from interacting subsystems, often characterized by oscillatory dynamics. Collective oscillatory behavior is essential for the proper functioning of many real world systems.…

适应与自组织系统 · 物理学 2024-07-03 Soumen Majhi , Biswambhar Rakshit , Amit Sharma , Jürgen Kurths , Dibakar Ghosh

This paper (parts I and II) provides an expository introduction to monotone and near-monotone dynamical systems associated to biochemical networks, those whose graphs are consistent or near-consistent. Many conclusions can be drawn from…

分子网络 · 定量生物学 2007-05-23 Eduardo D. Sontag

This paper (parts I and II) provides an expository introduction to monotone and near-monotone dynamical systems associated to biochemical networks, those whose graphs are consistent or near-consistent. Many conclusions can be drawn from…

分子网络 · 定量生物学 2007-05-23 Eduardo D. Sontag

We study the evolution of a random weighted network with complex nonlinear dynamics at each node, whose activity may cease as a result of interactions with other nodes. Starting from a knowledge of the micro-level behaviour at each node, we…

统计力学 · 物理学 2007-05-23 Sitabhra Sinha , Sudeshna Sinha

Networked systems are systems of interconnected components, in which the dynamics of each component are influenced by the behavior of neighboring components. Examples of networked systems include biological networks, critical…

系统与控制 · 计算机科学 2016-06-01 Andrew Clark , Basel Alomair , Linda Bushnell , Radha Poovendran

This paper studies network resilience against structured additive perturbations to its topology. We consider dynamic networks modeled as linear time-invariant systems subject to perturbations of bounded energy satisfying specific sparsity…

系统与控制 · 电气工程与系统科学 2021-05-18 Shenyu Liu , Sonia Martinez , Jorge Cortes

Robustness to genetic or environmental disturbances is often considered as a key property of living systems. Yet, in spite of being discussed since the 1950s, how robustness emerges from the complexity of genetic architectures and how it…

种群与进化 · 定量生物学 2022-03-31 Arnaud Le Rouzic

Living organisms must respond to environmental changes. Generally, accurate and rapid responses are provided by simple, unidirectional networks that connect inputs with outputs. Besides accuracy and speed, biological responses should also…

分子网络 · 定量生物学 2021-09-01 Masayo Inoue , Kunihiko Kaneko

In spite of a few attempts in understanding the dynamical robustness of complex networks, this extremely important subject of research is still in its dawn as compared to the other dynamical processes on networks. We hereby consider the…

适应与自组织系统 · 物理学 2022-03-24 Soumen Majhi

A networked system can be made resilient against adversaries and attacks if the underlying network graph is structurally robust. For instance, to achieve distributed consensus in the presence of adversaries, the underlying network graph…

系统与控制 · 电气工程与系统科学 2019-07-26 Faiq Ghawash , Waseem Abbas

One of the characteristic features of genetic networks is their inherent robustness, that is, their ability to retain functionality in spite of the introduction of random errors. In this paper, we seek to better understand how robustness is…

分子网络 · 定量生物学 2009-04-29 Arnab Bhattacharyya , Bernhard Haeupler

Here we propose a generic mechanism - networked buffering - for generating robust traits in complex systems that requires two basic conditions to be satisfied: 1) agents are versatile enough to perform more than one single functional role…

适应与自组织系统 · 物理学 2011-12-15 James M Whitacre , Axel Bender

We review selected results related to robustness of networked systems in finite and asymptotically large size regimes, under static and dynamical settings. In the static setting, within the framework of flow over finite networks, we discuss…

系统与控制 · 电气工程与系统科学 2019-09-17 Ketan Savla , Jeff S. Shamma , Munther A. Dahleh

In real-world networks the interactions between network elements are inherently time-delayed. These time-delays can not only slow the network but can have a destabilizing effect on the network's dynamics leading to poor performance. The…

最优化与控制 · 数学 2024-09-23 David Reber , Benjamin Webb

We analyze networked heterogeneous nonlinear systems, with diffusive coupling and interconnected over a generic static directed graph. Due to the network's hetereogeneity, complete synchronization is impossible, in general, but an emergent…

最优化与控制 · 数学 2022-06-01 Mohamed Maghenem , Elena Panteley , Antonio Loria

The response of complex networks to perturbations is of utmost importance in areas as diverse as ecosystem management, emergency response, and cell reprogramming. A fundamental property of networks is that the perturbation of one node can…

分子网络 · 定量生物学 2011-05-20 Sean P. Cornelius , William L. Kath , Adilson E. Motter

In this paper, controllability of undirected networked systems with {diffusively coupled subsystems} is considered, where each subsystem is of {identically {\emph{fixed}}} general high-order single-input-multi-output dynamics. The…

系统与控制 · 电气工程与系统科学 2020-04-21 Yuan Zhang , Yuanqing Xia , Han Gao , Guangchen Zhang
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