Noise-Induced Order Out of Chaos by Bailout Embedding

Cartwright, Julyan H. E.; Magnasco, Marcelo O.; Piro, Oreste; Tuval, Idán

doi:10.1142/s0219477502000841

Cited by 2 publications

(1 citation statement)

References 14 publications

(20 reference statements)

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“…It corroborates the analysis and even shows that our estimates are a lower bound for the actual magnitude of the separation. We have also shown that the addition of fluctuating forces such as thermal noise, for instance, enhances the magnitude of the phenomenon [17,19,27].…”

Section: The Motion Of a Solid Body In A Fluidmentioning

confidence: 99%

The fluid mechanics of poohsticks

Cartwright

Piro

2020

Phil. Trans. R. Soc. A.

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The year 2019 marked the bicentenary of George Gabriel Stokes, who in 1851 described the drag—Stokes drag—on a body moving immersed in a fluid, and 2020 is the centenary of Christopher Robin Milne, for whom the game of poohsticks was invented; his father A. A. Milne’s The House at Pooh Corner , in which it was first described in print, appeared in 1928. So this is an apt moment to review the state of the art of the fluid mechanics of a solid body in a complex fluid flow, and one floating at the interface between two fluids in motion. Poohsticks pertains to the latter category, when the two fluids are water and air. This article is part of the theme issue ‘Stokes at 200 (part 2)’.

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Section: The Motion Of a Solid Body In A Fluidmentioning

confidence: 99%

The fluid mechanics of poohsticks

Cartwright

Piro

2020

Phil. Trans. R. Soc. A.

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Dynamics of tidal synchronization and orbit circularization of celestial bodies

et al. 2008

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We take a dynamical-systems approach to study the qualitative dynamical aspects of the tidal locking of the rotation of secondary celestial bodies with their orbital motion around the primary. We introduce a minimal model including the essential features of gravitationally induced elastic deformation and tidal dissipation that demonstrates the details of the energy transfer between the orbital and rotovibrational degrees of freedom. Despite its simplicity, our model can account for both synchronization into the 1:1 spin-orbit resonance and the circularization of the orbit as the only true asymptotic attractors, together with the existence of relatively long-lived metastable orbits with the secondary in p : q synchronous rotation.

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Noise-Induced Order Out of Chaos by Bailout Embedding

Abstract: We review the concept of bailout embedding; a general process for obtaining order from chaotic dynamics by embedding the system within another larger one. Such an embedding can target islands of order and hence control chaos. Moreover, a small amount of noise enhances this process.

Cited by 2 publications

References 14 publications

The fluid mechanics of poohsticks

The fluid mechanics of poohsticks

Dynamics of tidal synchronization and orbit circularization of celestial bodies

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