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When a dynamical system contains several different modes of oscillations it may behave in a variety of ways: If the modes oscillate at their own individual frequencies, it exhibits quasiperiodic behavior; when the modes lock to one another…

Chaotic Dynamics · Physics 2012-01-04 Mogens H. Jensen , Leo P. Kadanoff

We report on finite-sized-induced transitions to synchrony in a population of phase oscillators coupled via a nonlinear mean field, which microscopically is equivalent to a hypernetwork organization of interactions. Using a self-consistent…

Adaptation and Self-Organizing Systems · Physics 2017-03-01 Maxim Komarov , Arkady Pikovsky

Shared upstream dynamical processes are frequently the source of common inputs in various physical and biological systems. However, due to finite signal transmission speeds and differences in the distance to the source, time shifts between…

Neurons and Cognition · Quantitative Biology 2017-03-10 Ehsan Bolhasani , Yousef Azizi , Alireza Valizadeh , Matjaz Perc

We study the synchronization of chaotic units connected through time-delayed fluctuating interactions. We focus on small-world networks of Bernoulli and Logistic units with a fixed chiral backbone. Comparing the synchronization properties…

Since 1970, the R\"ossler system has remained as a considerably simpler and minimal dimensional chaos serving system. Unveiling the dynamics of a system of two coupled chaotic oscillators that leads to the emergence of extreme events in the…

Chaotic Dynamics · Physics 2024-09-25 S. Sudharsan , Tapas Kumar Pal , Dibakar Ghosh , Jürgen Kurths

Synchronized oscillations are of critical functional importance in many biological systems. We show that such oscillations can arise without centralized coordination in a disordered system of electrically coupled excitable and passive…

Adaptation and Self-Organizing Systems · Physics 2015-06-03 Rajeev Singh , Jinshan Xu , Nicolas Garnier , Alain Pumir , Sitabhra Sinha

Spontaneous symmetry breaking in systems with symmetry is a cornerstone phenomenon accompanying second-order phase transitions. Here, we predict the opposite phenomenon, namely, spontaneous symmetry emergence in a system that lacks…

Quantum Physics · Physics 2025-05-21 T. T. Sergeev , E. S. Andrianov , A. A. Zyablovsky

The Kuramoto model with mixed signs of couplings is known to produce a traveling-wave synchronized state. Here, we consider an abrupt synchronization transition from the incoherent state to the traveling-wave state through a long-lasting…

Statistical Mechanics · Physics 2018-02-22 Jinha Park , B. Kahng

We study the dynamics of two initially correlated qubits coupled to their own separate spin baths modeled by a XY spin chain and find the explicit expression of the quantum discord for the system. A sudden transition is found to exist…

Quantum Physics · Physics 2012-08-21 Da-Wei Luo , Hai-Qing Lin , Jing-Bo Xu , Dao-Xin Yao

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…

Statistical Mechanics · Physics 2021-03-31 Shamik Gupta , Romain Bachelard , Tarcisio Rocha Filho

When an oscillator switches abruptly between different frequencies, there is some ambiguity in deciding how the system should be modelled at the switch. Here we describe two seemingly natural models of a switch in a simple…

Dynamical Systems · Mathematics 2022-12-28 Carles Bonet , Mike R. Jeffrey , Pau Martín , Josep M. Olm

Many biological and chemical systems could be modeled by a population of oscillators coupled indirectly via a dynamical environment. Essentially, the environment by which the individual elements communicate is heterogeneous. Nevertheless,…

Chaotic Dynamics · Physics 2017-05-24 Bing-Wei Li , Xiao-Zhi Cao , Chenbo Fu

The mechanism of synchronization of oscillations in two identical coupled flow systems has beenstudied. The time (past the coupling onset) during which a synchronous oscillation regime is establisheddepends on the oscillation phase…

Chaotic Dynamics · Physics 2015-06-26 A. A. Koronovskii , A. E. Hramov , I. A. Khromova

We investigate the emergent open dynamics of a quantum system that undergoes rapid repeated unitary interactions with a sequence of ancillary systems. We study in detail how decoherence appears as a subleading effect when a quantum system…

Quantum Physics · Physics 2016-10-26 Daniel Grimmer , David Layden , Robert B. Mann , Eduardo Martin-Martinez

Abrupt transitions to the state of thermoacoustic instability (TAI) in gas turbine combustors are a significant challenge plaguing the development of next-generation low-emission aircraft and power generation engines. In this paper, we…

Fluid Dynamics · Physics 2022-12-21 Ramesh S. Bhavi , Induja Pavithran , Amitesh Roy , R. I. Sujith

Synchronization processes play critical roles in the functionality of a wide range of both natural and man-made systems. Recent work in physics and neuroscience highlights the importance of higher-order interactions between dynamical units,…

Adaptation and Self-Organizing Systems · Physics 2021-08-03 Per Sebastian Skardal , Alex Arenas

We consider fluctuations of the time-averaged current in the one-dimensional weakly-asymmetric exclusion process on a ring. The optimal density profile which sustains a given fluctuation exhibits an instability for low enough currents,…

Statistical Mechanics · Physics 2013-10-29 Carlos P. Espigares , Pedro L. Garrido , Pablo I. Hurtado

A key feature of the classical Fluctuation Dissipation theorem is its ability to approximate the average response of a dynamical system to a sufficiently small external perturbation from an appropriate time correlation function of the…

Mathematical Physics · Physics 2019-10-02 Rafail V. Abramov

We analyze the synchronization transition of a globally coupled network of N phase oscillators with inertia (rotators) whose natural frequencies are unimodally or bimodally distributed. In the unimodal case, the system exhibits a…

Disordered Systems and Neural Networks · Physics 2016-06-29 Simona Olmi , Alessandro Torcini

We consider the phenomenon of mutual synchronization in a fundamental quantum system of two detuned quantum harmonic oscillators dissipating into the environment. We identify the conditions leading to this spontaneous phenomenon showing…

Quantum Physics · Physics 2012-05-08 Gian Luca Giorgi , Fernando Galve , Gonzalo Manzano , Pere Colet , Roberta Zambrini
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