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In this paper, we study the phase transition behavior emerging from the interactions among multiple agents in the presence of noise. We propose a simple discrete-time model in which a group of non-mobile agents form either a fixed connected…

最优化与控制 · 数学 2008-10-21 Jialing Liu , Vikas Yadav , Hullas Sehgal , Joshua M. Olson , Haifeng Liu , Nicola Elia

Spontaneous synchronization is a general phenomenon in which a large population of coupled oscillators of diverse natural frequencies self-organize to operate in unison. The phenomenon occurs in physical and biological systems over a wide…

统计力学 · 物理学 2021-03-31 Shamik Gupta , Romain Bachelard , Tarcisio Rocha Filho

The synchronization phenomenon is ubiquitous in nature. In ensembles of coupled oscillators, explosive synchronization is a particular type of transition to phase synchrony that is first-order as the coupling strength increases. Explosive…

适应与自组织系统 · 物理学 2020-01-23 Inmaculada Leyva , Cristina Masoller

Self-oscillations underlie many natural phenomena such as heartbeat, ocean waves, and the pulsation of variable stars. From pendulum clocks to the behavior of animal groups, self-oscillation is one of the keys to the understanding of…

Collective human movement is a hallmark of complex systems, exhibiting emergent order across diverse settings, from pedestrian flows to biological collectives. In high-speed scenarios, alignment interactions ensure efficient flow and…

物理与社会 · 物理学 2025-06-03 Debasish Sarker , Yi Zhang , Lynn K. Perry , Daniel S. Messinger , Chaoming Song

We study explosive synchronization, a phenomenon characterized by first-order phase transitions between incoherent and synchronized states in networks of coupled oscillators. While explosive synchronization has been the subject of many…

适应与自组织系统 · 物理学 2014-08-22 Per Sebastian Skardal , Alex Arenas

We generalize the original majority-vote model by incorporating an inertia into the microscopic dynamics of the spin flipping, where the spin-flip probability of any individual depends not only on the states of its neighbors, but also on…

物理与社会 · 物理学 2018-06-13 Hanshuang Chen , Chuansheng Shen , Haifeng Zhang , Guofeng Li , Zhonghuai Hou , Jürgen Kurths

We report the nature of transitions from nonsynchronous to complete synchronization (CS) state in arrays of time-delay systems, where the systems are coupled with instantaneous diffusive coupling. We demonstrate that the transition to CS…

混沌动力学 · 物理学 2012-07-23 R. Suresh , D. V. Senthilkumar , M. Lakshmanan , J. Kurths

The effect of disturbance on a model ecosystem of sessile and mutually competitive species [Mathiesen et al. Phys. Rev. Lett. 107, 188101 (2011); Mitarai et al. Phys. Rev. E 86, 011929 (2012) ] is studied. The disturbance stochastically…

种群与进化 · 定量生物学 2015-06-18 Filippo Botta , Namiko Mitarai

In many real-world systems, partial synchronization is the dominant dynamical regime and, in systems such as the brain, is often accompanied by collective oscillations in which multiple overlapping modes interact to produce complex rhythmic…

适应与自组织系统 · 物理学 2026-03-03 Ali Seif , Mina Zarei

Abrupt shifts in ecosystems, brains, markets, and climate are often diagnosed as signs of approaching a tipping point, i.e. a critical bifurcation where stability is lost. Here we reveal a broader and more deceptive mechanism:…

混沌动力学 · 物理学 2025-10-06 Virgile Troude , Sandro Claudio Lera , Ke Wu , Didier Sornette

One of the most well known features of active matter is the tendencey of self-propelled particles to undergo system-wide collective motion. With low enough rotational noise or high enough global density, these systems spontaneously break…

软凝聚态物质 · 物理学 2024-06-21 Caleb J. Anderson Olivier Dauchot , Alberto Fernandez-Nieves

Chimera is a fascinating phenomenon of coexisting synchronized and desynchronized behaviour that was discovered in networks of nonlocally coupled identical phase oscillators over ten years ago. Since then, chimeras were found in numerous…

混沌动力学 · 物理学 2015-06-22 Andrea Vüllings , Johanne Hizanidis , Iryna Omelchenko , Philipp Hövel

Directed complex network of two-state model neurons linked by synapses which can be blocked or activated stochastically in time undergoes phase transition between the quiescent phase with zero activity and the active one with persistent…

无序系统与神经网络 · 物理学 2009-06-25 S. L. Ginzburg , M. A. Pustovoit

As a promising computational paradigm, occurrence of critical states in artificial and biological neural networks has attracted wide-spread attention. An often-made explicit or implicit assumption is that one single critical state is…

神经元与认知 · 定量生物学 2017-08-15 Karlis Kanders , Tom Lorimer , Yoko Uwate , Willi-Hans Steeb , Ruedi Stoop

Cortical networks exhibit synchronized activity which often occurs in spontaneous events in the form of spike avalanches. Since synchronization has been causally linked to central aspects of brain function such as selective signal…

神经元与认知 · 定量生物学 2022-02-08 Maik Schünemann , Udo Ernst , Marc Kesseböhmer

Different types of synchronization states are found when non-linear chemical oscillators are embedded into an active medium that interconnects the oscillators but also contributes to the system dynamics. Using different theoretical tools,…

适应与自组织系统 · 物理学 2021-03-09 David García-Selfa , Gourab Ghoshal , Christian Bick , Juan Pérez-Mercader , Alberto P. Muñuzuri

Coupling frequently enhances noise-induced coherence and synchronization in interacting nonlinear systems, but it does so separately. In principle collective stochastic coherence and synchronizability are incompatible phenomena, since…

适应与自组织系统 · 物理学 2015-06-17 Pablo Balenzuela , Pau Rué , Stefano Boccaletti , Jordi García-Ojalvo

We present numerical simulations of avalanches and critical phenomena associated with hysteresis loops, modeled using the zero-temperature random-field Ising model. We study the transition between smooth hysteresis loops and loops with a…

无序系统与神经网络 · 物理学 2009-10-31 Olga Perkovic , Karin A. Dahmen , James P. Sethna

Absorbing phase transitions (APTs) are widespread in non-equilibrium systems, spanning condensed matter, epidemics, earthquakes, ecology, and chemical reactions. APTs feature an absorbing state in which the system becomes entrapped, along…

统计力学 · 物理学 2025-12-09 R. Maire , A. Plati , M. Stockinger , E. Trizac , F. Smallenburg , G. Foffi
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