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We report a new mechanism through which extreme events with a dragon king-like distribution emerge in a network of unidirectional ring of Hindmarsh-Rose bursting neurons interacting through chemical synapses. We establish and substantiate…

Chaotic Dynamics · Physics 2024-12-31 Ardhanareeswaran R Sree , Sudharsan S , Senthilvelan M , Dibakar Ghosh

The phenomenon of frequency and phase synchronization in stochastic systems requires a revision of concepts originally phrased in the context of purely deterministic systems. Various definitions of an instantaneous phase are presented and…

Statistical Mechanics · Physics 2009-11-07 Jan A. Freund , Lutz Schimansky-Geier , Peter Haenggi

We uncover a dynamical entanglement transition in a monitored quantum system that is heralded by a local order parameter. Classically, chaotic systems can be stochastically controlled onto unstable periodic orbits and exhibit controlled and…

Disordered Systems and Neural Networks · Physics 2022-08-10 Thomas Iadecola , Sriram Ganeshan , J. H. Pixley , Justin H. Wilson

Catastrophic transitions, where a system shifts abruptly between alternate steady states, are a generic feature of many nonlinear systems. Recently these regime shift were suggested as the mechanism underlies many ecological catastrophes,…

Populations and Evolution · Quantitative Biology 2015-06-11 Haim Weissmann , Nadav M. Shnerb

Synchronization in quantum systems has been recently studied through persistent oscillations of local observables, which stem from undamped modes of the dissipative dynamics. However, the existence of such modes requires fine-tuning the…

Quantum Physics · Physics 2025-10-14 Yi J. Zhao , Joel E. Moore , Juzar Thingna , Christopher W. Wächtler

Synchronization is a fundamental phenomenon in dynamical systems, occurring in a wide range of contexts such as mechanical, chemical, biological, and social systems. In this work, we explore a novel manifestation of synchronization in…

Adaptation and Self-Organizing Systems · Physics 2026-02-09 C. Evain , A. -A. Diallo , E. Roussel , C. Szwaj , M. Herda , M. -A. Tordeux , F. Ribeiro , M. Labat , N. Hubert , J. -B. Brubach , P. Roy , S. Bielawski

Synchronization and chaos are two well known and ubiquitous phenomena in nature. Interestingly, under specific conditions, coupled chaotic systems can display synchronization in some of their observables. Here, we experimentally investigate…

Chaotic Dynamics · Physics 2021-09-01 Guilhem Madiot , Franck Correia , Sylvain Barbay , Rémy Braive

We numerically simulate a thermalization process in an energy landscape with hierarchically organized metastable states. The initial configuration is chosen to have a large energy excess, relative to the thermal equilibrium value at the…

Statistical Mechanics · Physics 2009-11-13 Andreas Fischer , Paolo Sibani , Karl Heinz Hoffmann

We characterize a transition from normal to ballistic diffusion in a bouncing ball dynamics. The system is composed of a particle, or an ensemble of non-interacting particles, experiencing elastic collisions with a heavy and periodically…

Statistical Mechanics · Physics 2018-04-04 André L. P. Livorati , Tiago Kroetz , Carl P. Dettmann , Iberê L. Caldas , Edson D. Leonel

In the spectrum of systems showing chaos-assisted tunneling, three-state crossings are formed when a chaotic singlet intersects a tunnel doublet. We study the dissipative quantum dynamics in the vicinity of such crossings. A harmonically…

Quantum Physics · Physics 2009-10-31 Sigmund Kohler , Ralf Utermann , Peter Hanggi , Thomas Dittrich

Discontinuous quantum phase transitions and the associated metastability play central roles in diverse areas of physics ranging from ferromagnetism to false vacuum decay in the early universe. Using strongly-interacting ultracold atoms in…

Quantum Gases · Physics 2022-04-26 Bo Song , Shovan Dutta , Shaurya Bhave , Jr-Chiun Yu , Edward Carter , Nigel Cooper , Ulrich Schneider

We consider a toy model of two kinetically coupled stochastic oscillators whose dynamics is described as a Markov jump process among $N$ discrete phase states. For large $N$, it maps onto the deterministic two-oscillator Kuramoto model of…

Statistical Mechanics · Physics 2026-03-24 Maciej Chudak , Massimiliano Esposito , Krzysztof Ptaszynski

Noise-induced phase transitions are common in various complex systems, from physics to biology. In this article, we investigate the emergence of crucial events in noise-induced phase transition processes and their potential significance for…

Data Analysis, Statistics and Probability · Physics 2023-06-28 Jacob D. Baxley , David R. Lambert , Mauro Bologna , Bruce J. West , Paolo Grigolini

We study the relationship between the collective phenomena of super and subradiance and spontaneous synchronization of quantum systems. To this aim we revisit the case of two detuned qubits interacting through a pure dissipative bosonic…

Quantum Physics · Physics 2017-04-17 B. Bellomo , G. L. Giorgi , G. M. Palma , R. Zambrini

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…

Statistical Mechanics · Physics 2025-12-09 R. Maire , A. Plati , M. Stockinger , E. Trizac , F. Smallenburg , G. Foffi

The role of a new form of dynamic interaction is explored in a network of generic identical oscillators. The proposed design of dynamic coupling facilitates the onset of a plethora of asymptotic states including synchronous states,…

Adaptation and Self-Organizing Systems · Physics 2021-01-12 Shiva Dixit , Sayantan Nag Chowdhury , Awadhesh Prasad , Dibakar Ghosh , Manish Dev Shrimali

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…

Adaptation and Self-Organizing Systems · Physics 2026-03-03 Ali Seif , Mina Zarei

In finite-size systems undergoing a continuous phase transition, the passage from the symmetric phase to the broken-symmetry phase is accomplished through a hysteresis zone, up to spontaneous symmetry breaking (SSB). In the present work, we…

Chaotic Dynamics · Physics 2026-01-22 Yiannis F. Contoyiannis , Stelios M. Potirakis

We numerically and analytically analyze transitions between different synchronous states in a network of globally coupled phase oscillators with attractive and repulsive interactions. The elements within the attractive or repulsive group…

Chaotic Dynamics · Physics 2019-10-23 Erik Teichmann , Michael Rosenblum

Synchronization is an omnipresent collective phenomenon in nature and technology, whose understanding is in particular for real-world systems still elusive. We study the synchronization transition in a phase oscillator system with two…

Adaptation and Self-Organizing Systems · Physics 2023-08-02 Rico Berner , Annie Lu , Igor M. Sokolov