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The effects of disorder in external forces on the dynamical behavior of coupled nonlinear oscillator networks are studied. When driven synchronously, i.e., all driving forces have the same phase, the networks display chaotic dynamics. We…

Chaotic Dynamics · Physics 2009-11-11 Sebastian F. Brandt , Babette K. Dellen , Ralf Wessel

Synchronization is central to many complex systems in engineering physics (e.g., the power-grid, Josephson junction circuits, and electro-chemical oscillators) and biology (e.g., neuronal, circadian, and cardiac rhythms). Despite these…

Adaptation and Self-Organizing Systems · Physics 2017-01-13 Dane Taylor , Per Sebastian Skardal , Jie Sun

The emergence of synchronization in a network of coupled oscillators is a pervasive topic in various scientific disciplines ranging from biology, physics, and chemistry to social networks and engineering applications. A coupled oscillator…

Optimization and Control · Mathematics 2012-09-07 Florian Dörfler , Francesco Bullo

Electrical and chemical synapses shape the dynamics of neural networks and their functional roles in information processing have been a longstanding question in neurobiology. In this paper, we investigate the role of synapses on the…

Neurons and Cognition · Quantitative Biology 2020-06-16 Marius E. Yamakou , Poul G. Hjorth , Erik A. Martens

Recurrently coupled oscillators that are sufficiently heterogeneous and/or randomly coupled can show an asynchronous activity in which there are no significant correlations among the units of the network. The asynchronous state can…

Neurons and Cognition · Quantitative Biology 2023-05-03 Jonas Ranft , Benjamin Lindner

We investigate the optimization of synchronizability in multiplex networks and demonstrate that the interlayer coupling strength is the deciding factor for the efficiency of optimization. The optimized networks have homogeneity in the…

Physics and Society · Physics 2016-02-26 Sanjiv K. Dwivedi , Camellia Sarkar , Sarika Jalan

Synchronization is studied in a spatially-distributed network of weekly-coupled, excitatory neurons of Hodgkin-Huxley type. All neurons are coupled to each other synaptically with a fixed time delay and a coupling strength inversely…

Soft Condensed Matter · Physics 2007-05-23 Yuqing Wang , Z. D. Wang , Y. -X. Li , X. Pei

We report the study of sudden transitions or tipping in a collection of systems induced due to multiplexing with another network of systems. The emergent dynamics of oscillators on one layer can undergo a sudden transition to steady state…

Adaptation and Self-Organizing Systems · Physics 2021-05-17 Umesh Kumar Verma , G. Ambika

Oscillators coupled in a network can synchronize with each other to yield a coherent population rhythm. If multiple such networks are coupled together, the question arises whether these rhythms will synchronize. We investigate the impact of…

Adaptation and Self-Organizing Systems · Physics 2016-12-22 John Hongyu Meng , Hermann Riecke

Multiplex networks provide a proper framework for understanding the dynamics of complex systems with differing types of interactions. This study considers different dynamical states possible in a multiplex network of nonlinear oscillators,…

Adaptation and Self-Organizing Systems · Physics 2025-05-27 Aiwin T Vadakkan , G. Ambika

Correlations between intrinsic dynamics and local topology have become a new trend in the study of synchronization in complex networks. In this paper, we investigate in this paradigm the influence of topology on dynamics of networks made up…

Chaotic Dynamics · Physics 2015-06-18 Peng Ji , Thomas K. DM. Peron , Francisco A. Rodrigues , Jürgen Kurths

Networks of excitatory and inhibitory neurons display asynchronous irregular (AI) states, where the activities of the two populations are balanced. At the single cell level, it was shown that neurons subject to balanced and noisy synaptic…

Neurons and Cognition · Quantitative Biology 2016-11-29 Zahara Girones , Alain Destexhe

Failure, damage spread and recovery crucially underlie many spatially embedded networked systems ranging from transportation structures to the human body. Here we study the interplay between spontaneous damage, induced failure and recovery…

Physics and Society · Physics 2017-10-23 Lucas Böttcher , Mirko Lukovic , Jan Nagler , Shlomo Havlin , Hans J. Herrmann

The study of first order transition (explosive synchronization) in an ensemble (network) of coupled oscillators has been the topic of paramount interest among the researchers for more than onedecade. Several frameworks have been proposed to…

Adaptation and Self-Organizing Systems · Physics 2023-05-04 Sangita Dutta , Abhijit Mondal , Prosenjit Kundu , Pitambar Khanra , Pinaki Pal , Chittaranjan Hens

We propose a concept to generate and stabilize diverse partial synchronization patterns (phase clusters) in adaptive networks which are widespread in neuro- and social sciences, as well as biology, engineering, and other disciplines. We…

Adaptation and Self-Organizing Systems · Physics 2020-03-04 Rico Berner , Jakub Sawicki , Eckehard Schöll

Many natural systems including the brain comprise coupled non-uniformly stimulated elements. In this paper we show that heterogeneously driven networks of excitatory-inhibitory units exhibit striking collective phenomena, including…

Adaptation and Self-Organizing Systems · Physics 2016-03-23 Varsha Sreenivasan , Shakti N. Menon , Sitabhra Sinha

The dynamics underlying epileptic seizures are well understood. We present a novel analysis of seizure-like events (SLEs) in an \textit{ex vivo} whole hippocampus, as well as a modeling study that sheds light on the underlying network…

Biological Physics · Physics 2007-05-23 Benjamin H. Singer , Miron Derchansky , Peter L. Carlen , Michal Zochowski

We study the statistical physics of a surprising phenomenon arising in large networks of excitable elements in response to noise: while at low noise, solutions remain in the vicinity of the resting state and large-noise solutions show…

Adaptation and Self-Organizing Systems · Physics 2020-04-01 Jonathan D. Touboul , Charlotte Piette , Laurent Venance , G. Bard Ermentrout

This Letter investigates the nature of synchronization in multilayered and multiplexed populations in which the interlayer interactions are randomly pinned. First, we show that a multilayer network constructed by setting up all-to-all…

Adaptation and Self-Organizing Systems · Physics 2022-04-20 Ajay Deep Kachhvah , Sarika Jalan

We seek explanation for the neurophysiological phenomenon of event related desynchronization (ERD) by using models of diffusively coupled nonlinear oscillators. We demonstrate that when the strength of the event is sufficient, ERD is found…

Neurons and Cognition · Quantitative Biology 2015-05-13 Jane H. Sheeba , V. K. Chandrasekar , M. Lakshmanan
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