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Dynamical patterns in complex networks of coupled oscillators are both of theoretical and practical interest, yet to fully reveal and understand the interplay between pattern emergence and network structure remains to be an outstanding…

Chaotic Dynamics · Physics 2017-04-03 Dongmei Song , Yafeng Wang , Xiang Gao , Shi-Xian Qu , Ying-Cheng Lai , Xingang Wang

Chimera states are dynamical patterns in networks of coupled oscillators in which regions of synchronous and asynchronous oscillation coexist. Although these states are typically observed in large ensembles of oscillators and analyzed in…

Pattern Formation and Solitons · Physics 2016-02-03 Mark J. Panaggio , Daniel M. Abrams , Peter Ashwin , Carlo R. Laing

We study numerically the development of chimera states in networks of nonlocally coupled oscillators whose limit cycles emerge from a Hopf bifurcation. This dynamical system is inspired from population dynamics and consists of three…

Consider a flock of birds that fly interacting between them. The interactions are modelled through a hierarchical system in which each bird, at each time step, adjusts its own velocity according to his past velocity and a weighted mean of…

Probability · Mathematics 2009-12-24 Federico Dalmao , Ernesto Mordecki

We investigate dynamical tunneling in many dimensional systems using a quasi-periodically modulated kicked rotor, and find that the tunneling rate from the torus to the chaotic region is drastically enhanced when the chaotic states become…

Chaotic Dynamics · Physics 2010-06-04 Akiyuki Ishikawa , Atushi Tanaka , Akira Shudo

Distributed decision making in multi-agent networks has recently attracted significant research attention thanks to its wide applicability, e.g. in the management and optimization of computer networks, power systems, robotic teams, sensor…

Optimization and Control · Mathematics 2018-11-13 Carlo Cenedese , Yu Kawano , Sergio Grammatico , Ming Cao

Many real-world systems can be modeled as networks of interacting oscillatory units. Collective dynamics that are of functional relevance for the oscillator network, such as switching between metastable states, arise through the interplay…

Dynamical Systems · Mathematics 2019-08-05 Christian Bick

The exceptional reactivity of animal collectives to predatory attacks is thought to be due to rapid, but local, transfer of information between group members. These groups turn together in unison and produce escape waves. However, it is not…

Populations and Evolution · Quantitative Biology 2015-06-05 James Herbert-Read , Jerome Buhl , Feng Hu , Ashley Ward , David Sumpter

Intermittent strange nonchaotic attractors (SNAs) appear typically in quasiperiodically forced period-doubling systems. As a representative model, we consider the quasiperiodically forced logistic map and investigate the mechanism for the…

Chaotic Dynamics · Physics 2009-11-07 Sang-Yoon Kim , Woochang Lim , Edward Ott

Aerial displays of starlings (Sturnus vulgaris) at their communal roosts are complex: thousands of individuals form multiple flocks which are continually changing shape and density, while splitting and merging. To understand these complex…

Quantitative Methods · Quantitative Biology 2011-08-26 H. Hildenbrandt , C. Carere , C-K. Hemelrijk

A variety of physical, social and biological systems generate complex fluctuations with correlations across multiple time scales. In physiologic systems, these long-range correlations are altered with disease and aging. Such correlated…

Other Quantitative Biology · Quantitative Biology 2009-11-10 Luis A. N. Amaral , Albert Diaz-Guilera , Andre A. Moreira , Ary L. Goldberger , Lewis A. Lipsitz

Dispersal between different habitats influences the dynamics and stability of populations considerably. Furthermore, these effects depend on the local interactions of a population with other species. Here, we perform a general and…

Biological Physics · Physics 2016-03-18 Philipp Gramlich , Sebastian J. Plitzko , Lars Rudolf , Barbara Drossel , Thilo Gross

The temporal communication patterns of human individuals are known to be inhomogeneous or bursty, which is reflected as the heavy tail behavior in the inter-event time distribution. As the cause of such bursty behavior two main mechanisms…

Physics and Society · Physics 2012-01-30 Hang-Hyun Jo , Márton Karsai , János Kertész , Kimmo Kaski

The problem of near-optimal distributed path planning to locally sensed targets is investigated in the context of large swarms. The proposed algorithm uses only information that can be locally queried, and rigorous theoretical results on…

Robotics · Computer Science 2015-03-19 Ishanu Chattopadhyay

Chimera states, marked by the coexistence of order and disorder in systems of coupled oscillators, have captivated researchers with their existence and intricate patterns. Despite ongoing advances, a fully understanding of the genesis of…

Adaptation and Self-Organizing Systems · Physics 2024-12-10 Malbor Asllani , Alex Arenas

Turn-taking behaviour is simulated in a coupled agents system. Each agent is modelled as a mobile robot with two wheels. A recurrent neural network is used to produce the motor outputs and to hold the internal dynamics. Agents are developed…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Hiroyuki Iizuka , Takashi Ikegami

The temporal activity of many biological systems, including neural circuits, exhibits fluctuations simultaneously varying over a large range of timescales. The mechanisms leading to this temporal heterogeneity are yet unknown. Here we show…

Disordered Systems and Neural Networks · Physics 2022-08-03 Merav Stern , Nicolae Istrate , Luca Mazzucato

Densification and sparsification of temporal networks are attributed to two fundamental mechanisms: a change in the population in the system and/or a change in the chances that nodes in the system are connected. In theory, each of these…

Physics and Society · Physics 2021-02-05 Teruyoshi Kobayashi , Mathieu Génois

Swarms of self-propelled particles exhibit complex behavior that can arise from simple models, with large changes in swarm behavior resulting from small changes in model parameters. We investigate the steady-state swarms formed by…

Soft Condensed Matter · Physics 2015-06-03 Nguyen HP Nguyen , Eric Jankowski , Sharon C. Glotzer

We investigate theoretically the time evolution of a one-dimensional system of spin-1/2 fermions in a harmonic trap after, initially, a spiral spin configuration far-from equilibrium is created. We predict a spin segregation building up in…

Quantum Gases · Physics 2011-12-30 Ulrich Ebling , Andre Eckardt , Maciej Lewenstein
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