Swarmalators
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Swarmalators
Swarmalators are generalizations of phase oscillators that Swarm behaviour, swarm around in space as they Synchronization, synchronize in time. They were introduced to model the diverse real-world systems which both sync and swarm, such as vinegar eels, magnetic domain walls, and Japanese tree frogs. More formally, they are dynamical units with spatial degrees of freedom and internal degrees of freedom whose dynamics are coupled. Real world examples Swarmalation occurs in diverse parts of Nature and technology some of which are discussed below. The Figure to the right plots some examples in a (discipline, number of particles) plot. Biological microswimmers. Sperm, Turbatrix aceti, vinegar eels and potentially other swimmers such as Caenorhabditis elegans, C elegans swarm through space via the rhythmic beating of their tails. This beating may synchronize with the beating of a neighboring swimmer via hydrodynamic coupling, which in turn causes spatial attraction; sync links to ...
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Swarm Behaviour
Swarm behaviour, or swarming, is a collective behaviour exhibited by entities, particularly animals, of similar size which aggregate together, perhaps milling about the same spot or perhaps moving ''en masse'' or migrating in some direction. It is a highly interdisciplinary topic. As a term, ''swarming'' is applied particularly to insects, but can also be applied to any other entity or animal that exhibits swarm behaviour. The term '' flocking'' or ''murmuration'' can refer specifically to swarm behaviour in birds, '' herding'' to refer to swarm behaviour in tetrapods, and ''shoaling'' or ''schooling'' to refer to swarm behaviour in fish. Phytoplankton also gather in huge swarms called ''blooms'', although these organisms are algae and are not self-propelled the way animals are. By extension, the term "swarm" is applied also to inanimate entities which exhibit parallel behaviours, as in a robot swarm, an earthquake swarm, or a swarm of stars. From a more abstract point ...
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Kuramoto Model
The Kuramoto model (or Kuramoto–Daido model), first proposed by , is a mathematical model used in describing synchronization. More specifically, it is a model for the behavior of a large set of coupled oscillators. Its formulation was motivated by the behavior of systems of chemical and biological process, biological oscillators, and it has found widespread applications in areas such as Neural oscillation#Mathematical description, neuroscience and oscillating flame dynamics. Kuramoto was quite surprised when the behavior of some physical systems, namely coupled arrays of Josephson junctions, followed his model. The model makes several assumptions, including that there is weak coupling, that the oscillators are identical or nearly identical, and that interactions depend sinusoidally on the phase difference between each pair of objects. Definition In the most popular version of the Kuramoto model, each of the oscillators is considered to have its own intrinsic natural frequency ...
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Japanese Tree Frog
''Hyla japonica'', commonly known as the Japanese tree frog, is a species of anuran native to Japan, China, and Korea. ''H. japonica'' is unique in its ability to withstand extreme cold, with some individuals showing cold resistance at temperatures as low as −30 °C for up to 120 days. ''H. japonica'' are not currently facing any notable risk of extinction and are classified by the International Union for Conservation of Nature, IUCN as a species of "least concern". Notably, ''H. japonica'' have been sent to space in a study that explored the effect of microgravity on ''H. japonica''. ''Hyla japonica'' is considered as synonymous with ''Dryophytes japonicus''. However, a 2025 study treated that this species as ''Dryophytes japonicus'' again, and separated northern species as ''Dryophytes leopardus''. The Japanese tree frog lives in a variety of habitats such as wetlands, forests, rivers, and mountains. They are generally located near vegetation near water sources and forest ...
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Order Parameters Swarmalator Model
Order, ORDER or Orders may refer to: * A socio-political or established or existing order, e.g. World order, Ancien Regime, Pax Britannica * Categorization, the process in which ideas and objects are recognized, differentiated, and understood * Heterarchy, a system of organization wherein the elements have the potential to be ranked a number of different ways * Hierarchy, an arrangement of items that are represented as being "above", "below", or "at the same level as" one another * an action or inaction that must be obeyed, mandated by someone in authority People * Orders (surname) Arts, entertainment, and media * ''Order'' (film), a 2005 Russian film * ''Order'' (album), a 2009 album by Maroon * "Order", a 2016 song from ''Brand New Maid'' by Band-Maid * ''Orders'' (1974 film), a film by Michel Brault * "Orders" (''Star Wars: The Clone Wars'') Business * Blanket order, a purchase order to allow multiple delivery dates over a period of time * Money order or postal order, a f ...
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Janus
In ancient Roman religion and myth, Janus ( ; ) is the god of beginnings, gates, transitions, time, duality, doorways, passages, frames, and endings. He is usually depicted as having two faces. The month of January is named for Janus (''Ianuarius''). According to ancient Roman farmers' almanacs, Juno was mistaken as the tutelary deity of the month of January, but Juno is the tutelary deity of the month of June. Janus presided over the beginning and ending of conflict, and hence war and peace. The gates of the Temple of Janus in Rome were opened in time of war and closed to mark the arrival of peace. As a god of transitions, he had functions pertaining to birth and to journeys and exchange, and in his association with Portunus, a similar harbor and gateway god, he was concerned with travelling, trading, and shipping. Janus had no flamen or specialised priest ''( sacerdos)'' assigned to him, but the King of the Sacred Rites ''( rex sacrorum)'' himself carried out his cerem ...
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Janus Particles
Janus particles are special types of nanoparticles or microparticles whose surfaces have two or more distinct physical property, physical properties. This unique surface of Janus particles allows two different types of chemistry to occur on the same particle. The simplest case of a Janus particle is achieved by dividing the particle into two distinct parts, each of them either made of a different material, or bearing different functional groups. For example, a Janus particle may have one half of its surface composed of hydrophile, hydrophilic groups and the other half hydrophobe, hydrophobic groups, the particles might have two surfaces of different color, fluorescence, or magnetic properties. This gives these particles unique properties related to their asymmetric structure and/or functionalization. History The term "Janus Particle" was coined by author Leonard Wibberley in hi1962 novelThe Mouse on the Moon (novel), The Mouse on the Moon as a science-fictional device for space ...
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Synchronization
Synchronization is the coordination of events to operate a system in unison. For example, the Conductor (music), conductor of an orchestra keeps the orchestra synchronized or ''in time''. Systems that operate with all parts in synchrony are said to be synchronous or ''in sync''—and those that are not are ''Asynchronous system, asynchronous''. Today, time synchronization can occur between systems around the world through satellite navigation signals and other time and frequency transfer techniques. Navigation and railways Time-keeping and synchronization of clocks is a critical problem in long-distance ocean navigation. Before radio navigation and Radionavigation-satellite service, satellite-based navigation, navigators required accurate time in conjunction with astronomical observations to determine History of longitude, how far east or west their vessel traveled. The invention of an accurate marine chronometer revolutionized marine navigation. By the end of the 19th cent ...
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Spintronics
Spintronics (a portmanteau meaning spin transport electronics), also known as spin electronics, is the study of the intrinsic spin of the electron and its associated magnetic moment, in addition to its fundamental electronic charge, in solid-state devices. The field of spintronics concerns spin-charge coupling in metallic systems; the analogous effects in insulators fall into the field of multiferroics. Spintronics fundamentally differs from traditional electronics in that, in addition to charge state, electron spins are used as a further degree of freedom, with implications in the efficiency of data storage and transfer. Spintronic systems are most often realised in dilute magnetic semiconductors (DMS) and Heusler alloys and are of particular interest in the field of quantum computing and neuromorphic computing, upon which leads to integrated research requirements around Hyperdimensional Computation. History Spintronics emerged from discoveries in the 1980s concerning spi ...
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Ferromagnetism
Ferromagnetism is a property of certain materials (such as iron) that results in a significant, observable magnetic permeability, and in many cases, a significant magnetic coercivity, allowing the material to form a permanent magnet. Ferromagnetic materials are noticeably attracted to a magnet, which is a consequence of their substantial magnetic permeability. Magnetic permeability describes the induced magnetization of a material due to the presence of an external magnetic field. For example, this temporary magnetization inside a steel plate accounts for the plate's attraction to a magnet. Whether or not that steel plate then acquires permanent magnetization depends on both the strength of the applied field and on the coercivity of that particular piece of steel (which varies with the steel's chemical composition and any heat treatment it may have undergone). In physics, multiple types of material magnetism have been distinguished. Ferromagnetism (along with the similar effec ...
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