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We introduce a simple model system to study synchronization theoretically in quantum oscillators that are not just in limit-cycle states, but rather display a more complex bistable dynamics. Our oscillator model is purely dissipative, with…

Quantum Physics · Physics 2020-03-04 Matthew R. Jessop , Weibin Li , Andrew D. Armour

Stability is a fundamental concept that refers to a system's ability to return close to its original state after disturbances. The minimal conditions for stability when system parameters vary in time, though common in physics, have been…

Chaotic Dynamics · Physics 2026-05-22 Arnaud Lazarus , Emmanuel Trélat

We investigate the possibility of bistable lasing in microcavity lasers as opposed to bulk lasers. To that end, the dynamic behavior of a microlaser featuring two coupled, interacting modes is analytically investigated within the framework…

Optics · Physics 2009-03-17 Sergei V. Zhukovsky , Dmitry N. Chigrin , Johann Kroha

The interactions between Rydberg atoms and microwave fields provide a valuable framework for studying the complex dynamics out of equilibrium, exotic phases, and critical phenomena in many-body physics. This unique interplay allows us to…

Liquid mixtures of many interacting components often exhibit numerous coexisting types of droplets. An exciting example is the cytosol of biological cells, where diverse droplets, called condensates, are essential for cellular function.…

Soft Condensed Matter · Physics 2025-05-28 Yicheng Qiang , Chengjie Luo , David Zwicker

Dynamics of a particle in a perfect chain with one nonlinear impurity and in a perfect nonlinear chain under the action of dc field is studied numerically. The nonlinearity appears due to the coupling of the electronic motion to optical…

Condensed Matter · Physics 2009-10-31 P. K. Datta , A. M. Jayannavar

Understanding the relaxation of a system towards equilibrium is a longstanding problem in statistical mechanics. Here we address the role of long-range interactions in this process by considering a class of two-dimensional or geophysical…

Fluid Dynamics · Physics 2015-06-24 A Venaille , T Dauxois , S Ruffo

We revisit quantum dynamics of the damped and driven nonlinear oscillator. In the classical case this system has two stationary solutions (the limit cycles) in the certain parameter region, which is the origin of the celebrated bistability…

Quantum Physics · Physics 2020-02-27 Andrey R. Kolovsky

We present non-linear dynamical features of two-photon double-cavity optical bistability exhibited by a three level ladder system in the mean field limit. The system exhibits a hump like feature in the lower branch of the bistable response,…

Chaotic Dynamics · Physics 2011-04-18 H. Aswath Babu , Harshawardhan Wanare

Many neurons display bistability - coexistence of two firing modes such as bursting and tonic spiking or tonic spiking and silence. Bistability has been proposed to endow neurons with richer forms of information processing in general and to…

Neurons and Cognition · Quantitative Biology 2012-08-14 A. Dovzhenok , A. S. Kuznetsov

Interconnected networks describe the dynamics of important systems in a wide range such as biological systems and electrical power grids. Some important features of these systems were successfully studied and understood through simplified…

Systems and Control · Computer Science 2016-03-18 Thanh Long Vu , Konstantin Turitsyn

We investigate theoretically the dynamics of the system that consists of a cascade three-level emitter interacting with a single-mode resonator in the deep-strong-coupling regime. We show that the dynamical evolution of the system can only…

Quantum Physics · Physics 2018-11-21 Li-Li Zheng , Qian Bin , Zhi-Ming Zhan , Sha Li , Xin-You Lü , Ying Wu

In this paper, we investigate whether hypothetical Earth-like planets have high probability of remaining on stable orbits inside the habitable zones around the stars A and B of {\alpha} Centauri, for lengths of time compatible with the…

Earth and Planetary Astrophysics · Physics 2015-06-22 Eduardo Andrade-Ines , Tatiana A. Michtchenko

We study the dynamics arising when two identical oscillators are coupled near a Hopf bifurcation where we assume a parameter $\epsilon$ uncouples the system at $\epsilon=0$. Using a normal form for $N=2$ identical systems undergoing Hopf…

Dynamical Systems · Mathematics 2019-08-08 A. Pérez-Cervera , P. Ashwin , G. Huguet , T. M. Seara , J. Rankin

We consider the dynamics of a periodic chain of N coupled overdamped particles under the influence of noise, in the limit of large N. Each particle is subjected to a bistable local potential, to a linear coupling with its nearest…

Probability · Mathematics 2007-10-16 Nils Berglund , Bastien Fernandez , Barbara Gentz

A creased thin disk is generally bistable since the crease could be pushed through to form a stable cone-like inverted state with an elastic singularity corresponding to the vertex of the conical surface. In a recent study, we found that…

Soft Condensed Matter · Physics 2022-06-07 Tian Yu

We investigate an epidemiological model that incorporates waning of immunity at the individual level and boosting of the immune system upon re-exposure to the pathogen. When immunity is fully restored upon boosting, the system can be…

Dynamical Systems · Mathematics 2025-08-05 Francesca Scarabel , Mónika Polner , Daniel Wylde , Maria Vittoria Barbarossa , Gergely Röst

The intermittent transition between slow growth and rapid shrinkage in polymeric assemblies is termed dynamic instability, a feature observed in a variety of biochemically distinct assemblies including microtubules, actin and their…

Soft Condensed Matter · Physics 2015-05-28 Stefano Zapperi , L. Mahadevan

Instabilities for boson-fermion mixed condensates of trapped Alkali atoms due to the boson-fermion attractive interaction are studied using a variational method. Three regions are shown for their instabilities according to the boson-fermion…

Condensed Matter · Physics 2009-10-31 T. Miyakawa , T. Suzuki , H. Yabu

The presence of one or more species at some spatial locations but not others is a central matter in ecology. This phenomenon is related to ecological pattern formation. Nonlocal interactions can be considered as one of the mechanisms…

Populations and Evolution · Quantitative Biology 2017-12-29 Ozgur Aydogmus