Nonlinear phenomena articles within Nature Communications

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  • Article
    | Open Access

    Dissipative solitons and their symmetry breaking is important for photonic applications. Here the authors show that dissipative solitons can undergo spontaneous symmetry breaking in a two-component nonlinear optical ring resonator, resulting in the coexistence of distinct vectorial solitons with asymmetric, mirror-like states of polarization.

    • Gang Xu
    • , Alexander U. Nielsen
    •  & Miro Erkintalo

  • Article
    | Open Access

    Self-organisation of Min protein patterns observed in vivo and in vitro differ qualitatively and quantitatively. Here the authors reconstituted Min proteins in laterally wide microchambers with a well-controlled height and show that the Min protein dynamics on the membrane crucially depend on the micro chamber height.

    • Fridtjof Brauns
    • , Grzegorz Pawlik
    •  & Cees Dekker

  • Article
    | Open Access

    The ability of complex networks to synchronize themselves is limited by available coupling resources. Zhang and Strogatz show that allowing temporal variation in the network structure can lead to synchronization even when stable synchrony is impossible in any static network under the fixed budget.

    • Yuanzhao Zhang
    •  & Steven H. Strogatz

  • Article
    | Open Access

    For active particles with nanoscale dimensions the overwhelming rotational diffusivity usually masks their residual non-equilibrium character. Here Schmidt et al. show how to amplify it in a suitable experiment to let a nanosphere rotate spontaneously around the beam axis in an optical trap.

    • Falko Schmidt
    • , Hana Šípová-Jungová
    •  & Giovanni Volpe

  • Article
    | Open Access

    Converse symmetry breaking is a counterintuitive phenomenon in which the system must have an asymmetry to stabilize a symmetric state. Molnar et al. demonstrate this effect in real power-grid networks and show that synchronous operation can be improved by inhomogeneities across power generators.

    • Ferenc Molnar
    • , Takashi Nishikawa
    •  & Adilson E. Motter

  • Article
    | Open Access

    Networks with higher order interactions, relevant to social groups, ecosystems and human brain, require new tools and instruments for their analysis. Gambuzza et al. propose an analytical approach which allows to find conditions for stable synchronization in many-body interaction networks.

    • L. V. Gambuzza
    • , F. Di Patti
    •  & S. Boccaletti

  • Article
    | Open Access

    There is a renewed interest in Faraday waves patterns in the field of nonlinear metamaterials due to their tunable templating capacity. Kharbedia et al. show that free-standing water surfaces with ordered patterns can be generated and controlled by the Faraday waves with help of stiffening surfactants.

    • Mikheil Kharbedia
    • , Niccolò Caselli
    •  & Francisco Monroy

  • Article
    | Open Access

    Nonlinear dissipation is frequently observed in nanomechanical resonators, but its microscopic origin remains unclear. Here, nonlinear damping is found to be enhanced in graphene nanodrums close to internal resonance conditions, providing insights on the mechanisms at the basis of this phenomenon.

    • Ata Keşkekler
    • , Oriel Shoshani
    •  & Farbod Alijani

  • Article
    | Open Access

    Non-equilibrium and collective behaviors such as phase transitions in optical systems can lead to interesting applications in photonics. Here the authors demonstrate spectral phase transition in a ubiquitous nonlinear driven-dissipative system, the optical parametric oscillator.

    • Arkadev Roy
    • , Saman Jahani
    •  & Alireza Marandi

  • Article
    | Open Access

    Influencer networks include a small set of highly-connected nodes and can reach synchrony only via strong node interaction. Tönjes et al. show that introducing an optimal amount of noise enhances synchronization of such networks, which may be relevant for neuroscience or opinion dynamics applications.

    • Ralf Tönjes
    • , Carlos E. Fiore
    •  & Tiago Pereira

  • Article
    | Open Access

    Dynamic pricing schemes are increasingly employed in on-demand mobility. Here the authors show that ride-hailing services across the globe exhibit anomalous price surges induced by collective action of drivers, uncovered from price time-series at 137 locations, and explain under which conditions they emerge.

    • Malte Schröder
    • , David-Maximilian Storch
    •  & Marc Timme

  • Article
    | Open Access

    Understanding failure propagation dynamics in complex networks with recovery processes is vital to realizing networks that are resistant to large scale failures. Here, the authors report a model for general failure propagation dynamics in complex networks with non-Markovian recovery processes.

    • Zhao-Hua Lin
    • , Mi Feng
    •  & Ying-Cheng Lai

  • Article
    | Open Access

    The design of future power grids with decentral control calls for a better understanding of the stability of synchronized networked systems. Here, Hellmann et al. show that the energy losses in coupled oscillators can significantly alter power grid dynamics by introducing solitary states in the network.

    • Frank Hellmann
    • , Paul Schultz
    •  & Yuri Maistrenko

  • Article
    | Open Access

    Controlling chaotic behavior in spintronic devices is promising for signal-processing applications. Here, the authors unveil the symbolic patterns hidden in the magnetization dynamics of a nanocontact vortex oscillator and detail how to control chaos complexity with a single experimental parameter.

    • Myoung-Woo Yoo
    • , Damien Rontani
    •  & Joo-Von Kim

  • Article
    | Open Access

    Modelling collective behaviour in different circumstances remains a challenge because of uncertainty related to interaction rule changes. Here, the authors report plasticity in local interaction rules in flocks of wild jackdaws with implications for both natural and artificial collective systems.

    • Hangjian Ling
    • , Guillam E. Mclvor
    •  & Nicholas T. Ouellette

  • Article
    | Open Access

    Micro- and nanomechanical resonators play a crucial role in sensing applications. Here, the authors demonstrate electrically tunable modal coupling in capacitive microelectromechanical gyroscopic ring resonators that allows for improving the performance micro/nano-sensors relying on precise control of the degree of modal coupling.

    • Xin Zhou
    • , Chun Zhao
    •  & Ashwin A. Seshia

  • Article
    | Open Access

    Discovery of hybrid dynamical models for real-world cyber-physical systems remains a challenge. This paper proposes a general framework for automating mechanistic modeling of hybrid dynamical systems from observed data with low computational complexity and noise resilience.

    • Ye Yuan
    • , Xiuchuan Tang
    •  & Jorge Goncalves

  • Article
    | Open Access

    A challenge of magnetically-actuated devices is to obtain different behaviours from each component under the same driving field. Here the authors tune the dipolar interactions between rotors to obtain different rotational behaviours when actuated by a magnetic field leading to complex collective dynamics.

    • Daiki Matsunaga
    • , Joshua K. Hamilton
    •  & Ramin Golestanian

  • Article
    | Open Access

    Linear controllability theories have stimulated research on control of complex networks. Here the authors investigate the concordance between linear and nonlinear approaches in ranking the importance of nodes in nonlinear networks, and conclude that linear controllability may not be applicable.

    • Junjie Jiang
    •  & Ying-Cheng Lai

  • Article
    | Open Access

    In a previous work, the authors have demonstrated the formation of localized waves in nematic liquid crystals driven by an electric field. Here they demonstrate the realization of solitary waves of (3+2)D type which can be steered along longitudinal and transverse directions by the electric field.

    • Bing-Xiang Li
    • , Rui-Lin Xiao
    •  & Oleg D. Lavrentovich

  • Article
    | Open Access

    Supramolecular assemblies achieve nontrivial structures but there is no general framework to link their formation to molecular properties. Here the authors propose a model that relates molecular geometry and interactions to nanoribbon formation, validated by cryo-electron microscopy.

    • Mingming Zhang
    • , Doron Grossman
    •  & Eran Sharon

  • Article
    | Open Access

    To optimize the performance of lead chalcogenides for thermoelectric applications, strategies to further reduce the crystal’s thermal conductivity is required. Here, the authors discover anharmonic localized vibrations in PbSe crystals for optimizing the crystal’s vibrational transport properties.

    • M. E. Manley
    • , O. Hellman
    •  & A. J. Minnich

  • Article
    | Open Access

    The impacts of technological development on social sphere lack strong empirical foundation. Here the authors presented quantitative analysis of the phenomenon of social acceleration across a range of digital datasets and found that interest appears in bursts that dissipate on decreasing timescales and occur with increasing frequency.

    • Philipp Lorenz-Spreen
    • , Bjarke Mørch Mønsted
    •  & Sune Lehmann

  • Article
    | Open Access

    In areas with two or more spoken languages, linguistic shift may occur as speakers of one language switch to the other. Here, the authors show that linguistic shift is faster in rural compared to urban regions of Galicia, a bilingual community in Spain, due to the competition of internal complexity and network relevance.

    • Mariamo Mussa Juane
    • , Luis F. Seoane
    •  & Jorge Mira

  • Article
    | Open Access

    An analog of Alfven waves in plasma with velocity set by magnetic tension has been predicted to appear in elastic turbulence. Here the authors observe elastic Alfven waves in elastic turbulence of polymer solution flow between two obstacles where the velocity is defined by elastic stress.

    • Atul Varshney
    •  & Victor Steinberg

  • Article
    | Open Access

    Energy-efficient manipulation of spins at the nanoscale can advance magnetic storage and computing technologies. Here the authors show that low-dimensional chaos generated by alternating spin torque can induce magnetic switching in a nanoscale ferromagnet.

    • Eric Arturo Montoya
    • , Salvatore Perna
    •  & Ilya N. Krivorotov

  • Article
    | Open Access

    It is becoming clear that the dynamics of transcription factors may be important for gene regulation. Here, the authors study the implications of oscillatory and chaotic dynamics of NF-κB and demonstrate that it allows a degree of control of gene expression and can generate phenotypic heterogeneity.

    • Mathias L. Heltberg
    • , Sandeep Krishna
    •  & Mogens H. Jensen

  • Article
    | Open Access

    The study of interfaces in bacterial systems is of relevance to the spreading of bacterial colonies and pathological infections. Here the authors investigate the dynamics of active/passive interfaces in bacterial swarms and find that the boundary can be described as a propagating, diffuse elastic interface.

    • Alison E. Patteson
    • , Arvind Gopinath
    •  & Paulo E. Arratia

  • Article
    | Open Access

    Active matter describes a group of interacting units showing collective motions by constantly consuming energy from the environment, but inertia has largely been overlooked in this context. Scholz et al. show how important it can be by characterizing the dynamics of self-propelled particles in a model system.

    • Christian Scholz
    • , Soudeh Jahanshahi
    •  & Hartmut Löwen

  • Article
    | Open Access

    It is often advantageous to transform a strongly nonlinear system into a linear one in order to simplify its analysis for prediction and control. Here the authors combine dynamical systems with deep learning to identify these hard-to-find transformations.

    • Bethany Lusch
    • , J. Nathan Kutz
    •  & Steven L. Brunton

  • Article
    | Open Access

    Continuous-time computation paradigm could represent a viable alternative to the standard digital one when dealing with certain classes of problems. Here, the authors propose a generalised version of a continuous-time solver and simulate its performances in solving MaxSAT and two-colour Ramsey problems.

    • Botond Molnár
    • , Ferenc Molnár
    •  & Mária Ercsey-Ravasz

  • Article
    | Open Access

    Self-folding origami have applications for mechanical metamaterials but one of their pitfalls is that many undesirable folding modes exist. Here the authors propose an algorithm to determine which folding joints to make stiffer in order to ensure that the sheet is folded into the chosen state.

    • Menachem Stern
    • , Viraaj Jayaram
    •  & Arvind Murugan

  • Article
    | Open Access

    Understanding fundamental processes that occur using solar-to-fuel conversion materials is crucial for constructing effective renewable energy collection. Here, authors find the hydrogen peroxide light-driven hole-scavenging mechanism over haematite to proceed with two active sites rather than one

    • Yotam Y. Avital
    • , Hen Dotan
    •  & Arik Yochelis

  • Article
    | Open Access

    Fresnoite has an incommensurate structure that can be described as a nonlinear soliton lattice. Manley et al. show that the additional phason degrees of freedom associated with the solitonic structure can travel faster than more conventional phonon excitations, enabling supersonic energy transport.

    • M. E. Manley
    • , P. J. Stonaha
    •  & J. D. Budai

  • Article
    | Open Access

    Network dynamical systems can represent the interactions involved in the collective dynamics of gene regulatory networks or metabolic circuits. Here Casadiego et al. present a method for inferring these types of interactions directly from observed time series without relying on their model.

    • Jose Casadiego
    • , Mor Nitzan
    •  & Marc Timme

  • Article
    | Open Access

    Replica symmetry breaking describes identical copies of a randomly interacting system exhibiting different dynamics. Here, Pierangeli et al. observe this critical phenomenon in the optical wave propagation inside a disordered nonlinear waveguide.

    • Davide Pierangeli
    • , Andrea Tavani
    •  & Eugenio DelRe

  • Article
    | Open Access

    Collective self-organized behavior can be observed in a variety of systems such as colloids and microswimmers. Here O’Keeffe et al. propose a model of oscillators which move in space and tend to synchronize with neighboring oscillators and outline five types of collective self-organized states.

    • Kevin P. O’Keeffe
    • , Hyunsuk Hong
    •  & Steven H. Strogatz

  • Article
    | Open Access

    Linear acoustic metamaterials based on resonances are generally tunable but limited by their narrow bands. Here, Fang et al. fabricate one- and two-dimensional nonlinear acoustic metamaterials with a broadband, low-frequency, response—greatly suppressing low frequency noise.

    • Xin Fang
    • , Jihong Wen
    •  & Dianlong Yu

  • Article
    | Open Access

    Elastic turbulence, a random-in-time flow, can drive efficient mixing in microfluidics. Using a 3D particle tracking method, the authors show that the smoothness assumption breaks at scales far smaller than believed and the ballistic pair dispersion holds over much longer distances than expected.

    • Eldad Afik
    •  & Victor Steinberg

  • Article
    | Open Access

    Optomechanical experiments often assume linear coupling between optical fluctuations and mechanical displacements. Here, Leijssenet al. experimentally demonstrate the nonlinear interaction from thermally induced fluctuations in a sliced nanobeam cavity with high cooperativity.

    • Rick Leijssen
    • , Giada R. La Gala
    •  & Ewold Verhagen

  • Article
    | Open Access

    Integrable models have an infinite number of conserved quantities but most realizations suffer from integrability breaking perturbations. Here the authors show that weakly driving such a system by periodic perturbations leads to large nonlinear responses governed by the approximate conservation laws.

    • Florian Lange
    • , Zala Lenarčič
    •  & Achim Rosch

  • Article
    | Open Access

    Random fibre lasers constitute a class of lasers where the optical feedback is provided by multiple scattering in a disordered system. Here, Gonzálezet al. theoretically and experimentally study the statistical turbulence behaviour in relation to the lasing transition in such lasers.

    • Iván R. Roa González
    • , Bismarck C. Lima
    •  & Raman Kashyap

  • Article
    | Open Access

    Nano-mechanical resonators improve with high-Q factor and light mass, but this leads to the onset of nonlinear behaviour. Here the authors demonstrate precise control of the non-linear and bistable dynamics of a levitated nanoparticle in vacuum, using it as model system to study stochastic bistable phenomena.

    • F. Ricci
    • , R. A. Rica
    •  & R. Quidant

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