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Inspired by the importance of inhibitory and excitatory couplings in the brain, we analyze the largest eigenvalue statistics of random networks incorporating such features. We find that the largest real part of eigenvalues of a network,…

Disordered Systems and Neural Networks · Physics 2013-04-30 Sanjiv Kumar Dwivedi , Sarika Jalan

The network concept is increasingly used for the description of complex systems. Here we summarize key aspects of the evolvability and robustness of the hierarchical network-set of macromolecules, cells, organisms, and ecosystems. Listing…

Molecular Networks · Quantitative Biology 2010-10-05 Huba J. M. Kiss , Agoston Mihalik , Tibor Nanasi , Balint Ory , Zoltan Spiro , Csaba Soti , Peter Csermely

Robustness to perturbation is a key topic in the study of complex systems occurring across a wide variety of applications from epidemiology to biochemistry. Here we analyze the eigenspectrum of the Jacobian matrices associated to a general…

Adaptation and Self-Organizing Systems · Physics 2025-12-11 Shraosi Dawn , Subrata Ghosh , Chandrakala Meena , Tim Rogers , Chittaranjan Hens

Networked structures arise in a wide array of different contexts such as technological and transportation infrastructures, social phenomena, and biological systems. These highly interconnected systems have recently been the focus of a great…

Statistical Mechanics · Physics 2009-11-10 Alain Barrat , Marc Barthelemy , Romualdo Pastor-Satorras , Alessandro Vespignani

Understanding relationship between noisy dynamics and biological network architecture is a fundamentally important question, particularly in order to elucidate how cells encode and process information. We analytically and numerically…

Molecular Networks · Quantitative Biology 2011-10-12 Jaewook Joo , Jinmyung Choi

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…

Adaptation and Self-Organizing Systems · Physics 2017-12-07 Takashi Nishikawa , Jie Sun , Adilson E. Motter

Complex networks describe a wide range of systems in nature and society, much quoted examples including the cell, a network of chemicals linked by chemical reactions, or the Internet, a network of routers and computers connected by physical…

Statistical Mechanics · Physics 2016-08-31 Reka Albert , Albert-Laszlo Barabasi

Many natural and artificial two-states signaling devices are connected forming networks. The information-processing potential of these systems is usually related to the response to weak external signals. Here, using a network of overdamped…

Computational Physics · Physics 2007-09-24 Juan A. Acebron , Sergi Lozano , Alex Arenas

Using the pseudomode method, we evaluate exactly time-dependent entanglement for two independent qubits, each coupled to a non-Markovian structured environment. Our results suggest a possible way to control entanglement sudden death by…

Quantum Physics · Physics 2015-05-14 Ying-Jie Zhang

We investigate the synchronization features of a network of spiking neurons under a distance-dependent coupling following a power-law model. The interplay between topology and coupling strength leads to the existence of different…

Neurons and Cognition · Quantitative Biology 2020-11-11 R. C. Budzinski , K. L. Rossi , B. R. R. Boaretto , T. L. Prado , S. R. Lopes

We study the critical features of coupling parameter in the synchronization of neural networks with diluted synapses. Based on simulations, the exponential decay form is observed in the extreme case of global coupling among subsystems and…

Disordered Systems and Neural Networks · Physics 2009-11-07 Qi Li , Yong Chen , Ying Hai Wang

We analyze the stability of the network's giant connected component under impact of adverse events, which we model through the link percolation. Specifically, we quantify the extent to which the largest connected component of a network…

We present a constructive argument to demonstrate the universality of the sudden death of entanglement in the case of two non-interacting qubits, each of which generically coupled to independent Markovian environments at zero temperature.…

Quantum Physics · Physics 2011-06-28 F. F. Fanchini , P. E. M. F. Mendonca , R. d. J. Napolitano

An optical nanoantenna and adjacent atomic systems are strongly coupled when an excitation is repeatedly exchanged between these subsystems prior to its eventual dissipation into the environment. It remains challenging to reach the strong…

Mesoscale and Nanoscale Physics · Physics 2013-11-15 Karolina Słowik , Robert Filter , Jakob Straubel , Falk Lederer , Carsten Rockstuhl

Determining design principles that boost robustness of interdependent networks is a fundamental question of engineering, economics, and biology. It is known that maximizing the degree correlation between replicas of the same node leads to…

Physics and Society · Physics 2019-08-21 Ivan Kryven , Ginestra Bianconi

We consider the simplest instabilities involving multiple unstable electrostatic plasma waves corresponding to four-dimensional systems of mode amplitude equations. In each case the coupled amplitude equations are derived up to third order…

patt-sol · Physics 2009-10-30 John David Crawford , Edgar Knobloch

Flow networks can describe many natural and artificial systems. We present a model for a flow system that allows for volume accumulation, includes conduits with a non-linear relation between current and pressure difference, and can be…

Soft Condensed Matter · Physics 2021-06-15 Miguel Ruiz-Garcia , Eleni Katifori

The dynamics of networks of interacting dynamical systems depend on the nature of the coupling between individual units. We explore networks of oscillatory units with coupling functions that have "dead zones", that is, the coupling…

Dynamical Systems · Mathematics 2021-04-27 Peter Ashwin , Christian Bick , Camille Poignard

In this proceeding, we revisit the discussion presented in Ref. [Commun Phys 7, 373 (2024)], which examines the behavior of a quantum switch involving two arbitrary quantum operations when the control is exposed to environmental effects.…

Quantum Physics · Physics 2025-03-18 Shahana Aziz , André H. A. Malavazi , Pedro R. Dieguez

We investigate collective synchronous behaviors in random complex networks of limit-cycle oscillators with the non-identical asymmetric coupling scheme, and find a uniform coupling criticality of collective synchronization which is…

Disordered Systems and Neural Networks · Physics 2015-06-25 Xiang Li