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Coexisting periodic solutions of a dynamical system describing nonlinear optical processes of the second-order are studied. The analytical results concern both the simplified autonomous model and the extended nonautonomous model, including…

Chaotic Dynamics · Physics 2007-05-23 I. Sliwa , P. Szlachetka , K. Grygiel

The heat conduction behavior of one dimensional momentum conserving lattice systems with asymmetric interparticle interactions is numerically investigated. It is found that with certain degree of interaction asymmetry, the heat conductivity…

Statistical Mechanics · Physics 2015-05-28 Yi Zhong , Yong Zhang , Jiao Wang , Hong Zhao

Steady-state coherence in open quantum systems is crucial for quantum technologies, yet its behavior is not fully understood due to the interplay between collective and individual decoherence. While collective decoherence is thought to…

Quantum Physics · Physics 2026-02-25 S. L. Wu , W. Ma , Zhao-Ming Wang , P. Brumer , Lian-Ao Wu

Periodically driven quantum systems can exhibit subharmonic response, usually characterized through physical observables and often discussed in interacting settings. Here we show that a sharp subharmonic signature already appears in the…

Quantum Physics · Physics 2026-04-28 Rishabh Jha

Previous studies have shown that noise can induce coherence resonance in some nonlinear dynamical systems close to a bifurcation of a periodic motion, such as in excitable systems. We demonstrate that coherence resonance can be observed in…

Chaotic Dynamics · Physics 2007-05-23 Bambi Hu , Changsong Zhou

The problem of linear instability of a nonlinear traveling wave in a canonical Hamiltonian system with translational symmetry subject to superharmonic perturbations is discussed. It is shown that exchange of stability occurs when energy is…

Fluid Dynamics · Physics 2019-08-09 N. Sato , M. Yamada

After decades of explorations, suffering from low critical temperature and subtle nature, whether a metallic ground state exists in a two-dimensional system beyond Anderson localization is still a mystery. Supremely, phase coherence could…

How biological networks achieve robust control despite relying on imperfect, local information remains an important open question. Here, we identify thermodynamic constraints that can curtail non-equilibrium steady-state responses so…

Statistical Mechanics · Physics 2026-05-27 Carlos Floyd , Aaron R. Dinner , Suriyanarayanan Vaikuntanathan

We present a phenomenological reduced-order model to capture the transition to thermoacoustic instability in turbulent combustors. The model is based on the framework of synchronization and considers the acoustic field and the unsteady heat…

Adaptation and Self-Organizing Systems · Physics 2022-06-14 Yue Weng , Vishnu R. Unni , R. I. Sujith , Abhishek Saha

For an attracting periodic orbit (limit cycle) of a deterministic dynamical system, one defines the isochron for each point of the orbit as the cross-section with fixed return time under the flow. Equivalently, isochrons can be…

Dynamical Systems · Mathematics 2021-08-24 Maximilian Engel , Christian Kuehn

In this letter a new solvable model of synchronization dynamics is introduced. It consists of a system of long range interacting tops with random precession frequencies. The model allows for an explicit study of orientational effects in…

Disordered Systems and Neural Networks · Physics 2009-10-30 Felix Ritort

We analyze networked heterogeneous nonlinear systems, with diffusive coupling and interconnected over a generic static directed graph. Due to the network's hetereogeneity, complete synchronization is impossible, in general, but an emergent…

Optimization and Control · Mathematics 2022-06-01 Mohamed Maghenem , Elena Panteley , Antonio Loria

A microscopic model of interacting oscillators, which admits two conserved quantities, volume, and energy, is investigated. We begin with a system driven by a general nonlinear potential under high-temperature regime by taking the inverse…

Probability · Mathematics 2023-08-15 Patrícia Gonçalves , Kohei Hayashi

We study semi-dynamical systems associated to delay differential equations. We give a simple criteria to obtain weak and strong persistence and provide sufficient conditions to guarantee uniform persistence. Moreover, we show the existence…

Classical Analysis and ODEs · Mathematics 2020-02-04 Pablo Amster , Melanie Bondorevsky

The study of biological cells in terms of mesoscopic, nonequilibrium, nonlinear, stochastic dynamics of open chemical systems provides a paradigm for other complex, self-organizing systems with ultra-fast stochastic fluctuations, short-time…

Chemical Physics · Physics 2014-11-06 Hong Qian

We examine the distinct discrete time crystals (DTCs) that emerge in the Lipkin-Meshkov-Glick model, subjected to spatially nonuniform periodic driving. Intriguingly, we demonstrate that by appropriately tailoring the drive protocol,…

Quantum Physics · Physics 2025-12-24 Shashank Mishra , Sayan Choudhury

We consider a one-dimensional chain of coupled oscillators in contact at both ends with heat baths at different temperatures, and subject to an external force at one end. The Hamiltonian dynamics in the bulk is perturbed by random exchanges…

Probability · Mathematics 2019-09-12 Tomasz Komorowski , Stefano Olla , Marielle Simon

We study long-range interacting systems perturbed by external stochastic forces. Unlike the case of short-range systems, where stochastic forces usually act locally on each particle, here we consider perturbations by external stochastic…

Statistical Mechanics · Physics 2013-12-04 Cesare Nardini , Shamik Gupta , Stefano Ruffo , Thierry Dauxois , Freddy Bouchet

Open many-body quantum systems can exhibit intriguing nonequilibrium phases of matter, such as time crystals. In these phases, the state of the system spontaneously breaks the time-translation symmetry of the dynamical generator, which…

Conserved-charge densities are very special observables in quantum many-body systems as, by construction, they encode information about the dynamics. Therefore, their evolution is expected to be of much simpler interpretation than that of…

Statistical Mechanics · Physics 2024-05-30 Bruno Bertini , Katja Klobas , Mario Collura , Pasquale Calabrese , Colin Rylands
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