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Time-crystalline behavior has been predicted and observed in quantum central-spin systems with periodic driving and Ising interactions. Here, we theoretically show that it can also arise in central-spin systems with Heisenberg interactions.…

We report experimental evidence of the route to spatiotemporal chaos in a large 1D-array of hotspots in a thermoconvective system. Increasing the driving force, a stationary cellular pattern becomes unstable towards a mixed pattern of…

Chaotic Dynamics · Physics 2011-03-10 M. A. Miranda , J. Burguete

We investigate the Quantum Resonance (QR) regime of a periodically kicked atomic Bose-Einstein condensate. We find that the clearest indicator of the nonlinear dynamics is a surprisingly abrupt cut-off which appears on the main "Talbot…

Atomic Physics · Physics 2009-11-13 T. S. Monteiro , A Rancon , J. Ruostekoski

We study prethermal time quasicrystalline (TQC) order in a quasiperiodically driven chain of non-interacting spin-1/2 particles. The drive consists of two parts, switched on and off periodically with frequency $\omega_d$: (i) disordered…

Disordered Systems and Neural Networks · Physics 2026-05-01 Davood Marripour , Jahanfar Abouie

Theoretical study is performed of a single-mode polariton system with linear coupling of spin components. When combined with an ordinary two-particle interaction, the spin coupling involves a spontaneous symmetry breaking accompanied by a…

Mesoscale and Nanoscale Physics · Physics 2022-08-31 S. S. Gavrilov

Nonlinear oscillators are commonly encountered in a wide range of physical and engineering systems, exhibiting rich and complex dynamics. Among these, the Van der Pol oscillator is well known for its self-sustained limit cycle behavior.…

Chaotic Dynamics · Physics 2025-11-17 Samaira Tibrewal , Soumyajit Seth

Driven many-body systems have been shown to exhibit discrete time crystal phases characterized by broken discrete time-translational symmetry. This has been achieved generally through a subharmonic response, in which the system undergoes…

Pattern Formation and Solitons · Physics 2021-05-13 Zachary G. Nicolaou , Adilson E. Motter

In this work, we consider time-periodic structures of trimer granular crystals consisting of alternate chrome steel and tungsten carbide spherical particles yielding a spatial periodicity of three. The configuration at the left boundary is…

Pattern Formation and Solitons · Physics 2016-02-26 E. G. Charalampidis , F. Li , C. Chong , J. Yang , P. G. Kevrekidis

Understanding how temporal order degrades in quantum systems remains a central issue in nonequilibrium physics. Here we study the melting of discrete time crystals in a periodically driven holographic system, where a distinct (discrete)…

High Energy Physics - Theory · Physics 2026-04-16 Yu-Qi Lei , Xian-Hui Ge , Yu Tian , Shao-Feng Wu

Subharmonic response is a well known phenomena in, e.g., deterministic nonlinear dynamical systems. We investigate the conditions under which such subharmonic oscillations can persist for a long time in open systems with stochastic dynamics…

Statistical Mechanics · Physics 2019-08-15 Lukas Oberreiter , Udo Seifert , Andre C. Barato

We study a plasma instability in semiconductor superlattices irradiated by a monochromatic, pure AC electric field. The instability leads to sustained oscillations at a frequency \omega 2 that is either incommensurate to the drive, or…

Mesoscale and Nanoscale Physics · Physics 2012-01-31 Jukka Isohätälä , Kirill N. Alekseev

A periodically kicked ring of a Bose-Einstein condensate is considered as a nonlinear generalization of the quantum kicked rotor, where the nonlinearity stems from the mean field interactions between the condensed atoms. For weak…

Other Condensed Matter · Physics 2009-11-11 Jie Liu , Chuanwei Zhang , Mark G. Raizen , Qian Niu

Many complex systems can spontaneously oscillate under non-periodic forcing. Such self-oscillators are commonplace in biological and technological assemblies where temporal periodicity is needed, such as the beating of a human heart or the…

Discrete time crystals are periodically driven systems characterized by a response with periodicity $nT$, with $T$ the period of the drive and $n>1$. Typically, $n$ is an integer and bounded from above by the dimension of the local (or…

Other Condensed Matter · Physics 2021-04-27 Andrea Pizzi , Johannes Knolle , Andreas Nunnenkamp

The coupled Stuart-Landau equation serves as a fundamental model for exploring synchronization and emergent behavior in complex dynamical systems. However, understanding its dynamics from a comprehensive nonlinear perspective remains…

Adaptation and Self-Organizing Systems · Physics 2025-11-07 Ankan Pandey , Sandip Saha , Dibakar Ghosh

Nonlinear spin dynamics are essential in exploring nonequilibrium quantum phenomena and have broad applications in precision measurement. Among these systems, the combination of a bias magnetic field and feedback mechanisms can induce…

Quantum Physics · Physics 2024-10-29 Tishuo Wang , Zhihuang Luo , Shizhong Zhang , Zhenhua Yu

We consider a typical class of systems with delayed nonlinearity, which we show to exhibit chaotic diffusion. It is demonstrated that a periodic modulation of the time-lag can lead to an enhancement of the diffusion constant by several…

Chaotic Dynamics · Physics 2022-03-02 Tony Albers , David Müller-Bender , Lukas Hille , Günter Radons

We study a chain of non-linear, interacting spins driven by a static and a time-dependent magnetic field. The aim is to identify the conditions for the locally and temporally controlled spin switching. Analytical and full numerical…

Chaotic Dynamics · Physics 2015-05-13 L. Chotorlishvili , Z. Toklikishvili , J. Berakdar

Small-sized systems exhibit a finite number of routes to chaos. However, in extended systems, not all routes to complex spatiotemporal behavior have been fully explored. Starting from the sine-Gordon model of parametrically driven chain of…

Chaos in semiconductor lasers or other optical systems has been intensively studied in the past two decades. However, modulation around threshold has received much less attention, in particular in gain-modulated semiconductor lasers. In…

Optics · Physics 2022-03-09 J. Zou , H. Zhou , C. Jiang , G. Wang , G. L. Lippi , T. Wang