The rhythm of coupled metronomes

Boda, Sz.; Néda, Zoltán; Tyukodi, Botond; Tunyagi, A.

doi:10.1140/epjb/e2013-31065-9

Cited by 12 publications

(7 citation statements)

References 16 publications

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“…Movies recorded with the high-speed camera regarding the collective behavior of the flame of two candle bundles can be consulted on our YouTube playlist 18 . To quantify synchronization, we use the synchronization parameter z borrowed from one of our earlier studies 19 . In Supplementary Material, section B, the calculation of z is detailed.…”

Section: Experimental Partmentioning

confidence: 99%

Flickering candle flames and their collective behavior

Gergely

Sándor

Paizs

et al. 2020

Sci Rep

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Oscillation and collective behavior of diffusion flames is a fascinating phenomena. Considering candle bundles with different sizes in variable oxygen concentration, the flickering dynamics of the flames are experimentally and theoretically investigated. Trends for the flickering frequency as a function of the candle number in the bundle and oxygen concentration is revealed for various topologies of the candles packing. The collective behavior of the flames as a function of their separation distance is studied by measuring an appropriate synchronization order parameter and through the common oscillation frequency. In agreement with previous results we find a discontinuous phase transition between an in-phase synchronized state at small separation distance and a counter-phase synchronized state at larger separation distances. A previously used dynamical model is modified in order to accommodate our experimental findings.

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Section: Experimental Partmentioning

confidence: 99%

Flickering candle flames and their collective behavior

Gergely

Sándor

Paizs

et al. 2020

Sci Rep

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“…The rotation of the disc induced by the metronomes' beats acts as a coupling mechanism between the metronomes' phases. Continuing our previous study [13], where we examined the influence of metronome number and their nominal frequency on the observed synchronization level, we now examine the influence of the coupling strength in the system. The coupling strength is adjusted in a very simple manner by placing the metronomes at different angles with respect to the radial direction on the disc.…”

Section: Introductionmentioning

confidence: 93%

Kuramoto-type phase transition with metronomes

Boda¹,

Ujvári²,

Tunyagi³

et al. 2013

Eur. J. Phys.

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Metronomes placed on the perimeter of a disc-shaped platform, which can freely rotate in a horizontal plane, are used for a simple classroom illustration of the Kuramoto-type phase transition. The rotating platform induces a global coupling between the metronomes, and the strength of this coupling can be varied by tilting the metronomes’ swinging plane relative to the radial direction on the disc. As a function of the tilting angle, a transition from spontaneously synchronized to unsynchronized states is observable. By varying the number of metronomes on the disc, finite-size effects are also exemplified. A realistic theoretical model is introduced and used to reproduce the observed results. Computer simulations of this model allow a detailed investigation of the emerging collective behaviour in this system.

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“…Another novel example is the chirping calls of Vaux’s swifts ( Chaetura vauxi ) within a colony ( Figure 8 C); in this case, the chatter begins rather randomly, but soon attains a sustained entrainment and synchrony, perhaps serving some group behavior or colony-recognition function. In general, signals showing entrainment with synchrony generally conform to the achievement of a sort of amplified mutual resonance, such as with multiple metronomes on a balanced platform [ 61 ], walking on a suspension bridge [ 62 ], and many other cases [ 56 , 63 , 64 ].…”

Section: Ecological Quantum Bayesian Network In Ecologymentioning

confidence: 99%

EcoQBNs: First Application of Ecological Modeling with Quantum Bayesian Networks

Marcot

2021

Entropy

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A recent advancement in modeling was the development of quantum Bayesian networks (QBNs). QBNs generally differ from BNs by substituting traditional Bayes calculus in probability tables with the quantum amplification wave functions. QBNs can solve a variety of problems which are unsolvable by, or are too complex for, traditional BNs. These include problems with feedback loops and temporal expansions; problems with non-commutative dependencies in which the order of the specification of priors affects the posterior outcomes; problems with intransitive dependencies constituting the circular dominance of the outcomes; problems in which the input variables can affect each other, even if they are not causally linked (entanglement); problems in which there may be >1 dominant probability outcome dependent on small variations in inputs (superpositioning); and problems in which the outcomes are nonintuitive and defy traditional probability calculus (Parrondo’s paradox and the violation of the Sure Thing Principle). I present simple examples of these situations illustrating problems in prediction and diagnosis, and I demonstrate how BN solutions are infeasible, or at best require overly-complex latent variable structures. I then argue that many problems in ecology and evolution can be better depicted with ecological QBN (EcoQBN) modeling. The situations that fit these kinds of problems include noncommutative and intransitive ecosystems responding to suites of disturbance regimes with no specific or single climax condition, or that respond differently depending on the specific sequence of the disturbances (priors). Case examples are presented on the evaluation of habitat conditions for a bat species, representing state-transition models of a boreal forest under disturbance, and the entrainment of auditory signals among organisms. I argue that many current ecological analysis structures—such as state-and-transition models, predator–prey dynamics, the evolution of symbiotic relationships, ecological disturbance models, and much more—could greatly benefit from a QBN approach. I conclude by presenting EcoQBNs as a nascent field needing the further development of the quantum mathematical structures and, eventually, adjuncts to existing BN modeling shells or entirely new software programs to facilitate model development and application.

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The rhythm of coupled metronomes

Cited by 12 publications

References 16 publications

Flickering candle flames and their collective behavior

Flickering candle flames and their collective behavior

Kuramoto-type phase transition with metronomes

EcoQBNs: First Application of Ecological Modeling with Quantum Bayesian Networks

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