Day, James Pilot-wave hydrodynamics: quantisation of partial integrability from a nonlinear integro-differential equation of the second order. (English) Zbl 1527.34005 Bull. Aust. Math. Soc. 108, No. 3, 472-479 (2023). MSC: 34A05 45J05 76D33 34D20 PDFBibTeX XMLCite \textit{J. Day}, Bull. Aust. Math. Soc. 108, No. 3, 472--479 (2023; Zbl 1527.34005) Full Text: DOI OA License
Liu, Nicholas; Durey, Matthew; Bush, John W. M. Pilot-wave dynamics in a rotating frame: the onset of orbital instability. (English) Zbl 07750925 J. Fluid Mech. 973, Paper No. A4, 32 p. (2023). MSC: 76E07 76U05 76B15 PDFBibTeX XMLCite \textit{N. Liu} et al., J. Fluid Mech. 973, Paper No. A4, 32 p. (2023; Zbl 07750925) Full Text: DOI
Rahman, Aminur; Kutz, J. Nathan Walking droplets as a damped-driven system. (English) Zbl 1515.65314 SIAM J. Appl. Dyn. Syst. 22, No. 2, 1219-1233 (2023). MSC: 65P20 39A28 70K40 70K50 PDFBibTeX XMLCite \textit{A. Rahman} and \textit{J. N. Kutz}, SIAM J. Appl. Dyn. Syst. 22, No. 2, 1219--1233 (2023; Zbl 1515.65314) Full Text: DOI arXiv
Valani, Rahil N.; Dring, Jack; Simula, Tapio P.; Slim, Anja C. Emergence of superwalking droplets. (English) Zbl 1460.76195 J. Fluid Mech. 906, Paper No. A3, 28 p. (2021). MSC: 76D08 76D45 PDFBibTeX XMLCite \textit{R. N. Valani} et al., J. Fluid Mech. 906, Paper No. A3, 28 p. (2021; Zbl 1460.76195) Full Text: DOI arXiv
Thomson, S. J.; Durey, M.; Rosales, R. R. Collective vibrations of a hydrodynamic active lattice. (English) Zbl 1472.76069 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2239, Article ID 20200155, 21 p. (2020). MSC: 76M28 82B20 37K60 81V70 PDFBibTeX XMLCite \textit{S. J. Thomson} et al., Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2239, Article ID 20200155, 21 p. (2020; Zbl 1472.76069) Full Text: DOI arXiv Link
Durey, Matthew; Turton, Sam E.; Bush, John W. M. Speed oscillations in classical pilot-wave dynamics. (English) Zbl 1472.37044 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2239, Article ID 20190884, 23 p. (2020). MSC: 37D45 70B05 PDFBibTeX XMLCite \textit{M. Durey} et al., Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2239, Article ID 20190884, 23 p. (2020; Zbl 1472.37044) Full Text: DOI Link
Durey, Matthew Bifurcations and chaos in a Lorenz-like pilot-wave system. (English) Zbl 1456.37095 Chaos 30, No. 10, 103115, 12 p. (2020). MSC: 37M20 37N10 70K50 70K55 PDFBibTeX XMLCite \textit{M. Durey}, Chaos 30, No. 10, 103115, 12 p. (2020; Zbl 1456.37095) Full Text: DOI
Couchman, Miles M. P.; Bush, John W. M. Free rings of bouncing droplets: stability and dynamics. (English) Zbl 1460.76256 J. Fluid Mech. 903, Paper No. A49, 29 p. (2020). MSC: 76D33 76E15 PDFBibTeX XMLCite \textit{M. M. P. Couchman} and \textit{J. W. M. Bush}, J. Fluid Mech. 903, Paper No. A49, 29 p. (2020; Zbl 1460.76256) Full Text: DOI
Dong, Teng; Wang, Fei; Weheliye, Weheliye H.; Angeli, Panagiota Surfing of drops on moving liquid-liquid interfaces. (English) Zbl 1460.76884 J. Fluid Mech. 892, Paper No. A36, 29 p. (2020). MSC: 76Txx PDFBibTeX XMLCite \textit{T. Dong} et al., J. Fluid Mech. 892, Paper No. A36, 29 p. (2020; Zbl 1460.76884) Full Text: DOI
Durey, Matthew; Milewski, Paul A.; Wang, Zhan Faraday pilot-wave dynamics in a circular corral. (English) Zbl 1460.76257 J. Fluid Mech. 891, Paper No. A3, 39 p. (2020). MSC: 76D33 PDFBibTeX XMLCite \textit{M. Durey} et al., J. Fluid Mech. 891, Paper No. A3, 39 p. (2020; Zbl 1460.76257) Full Text: DOI Link
Galeano-Rios, C. A.; Milewski, P. A.; Vanden-Broeck, J.-M. Quasi-normal free-surface impacts, capillary rebounds and application to Faraday Walkers. (English) Zbl 1419.76195 J. Fluid Mech. 873, 856-888 (2019). MSC: 76D45 76D33 76T10 PDFBibTeX XMLCite \textit{C. A. Galeano-Rios} et al., J. Fluid Mech. 873, 856--888 (2019; Zbl 1419.76195) Full Text: DOI Link
Couchman, Miles M. P.; Turton, Sam E.; Bush, John W. M. Bouncing phase variations in pilot-wave hydrodynamics and the stability of droplet pairs. (English) Zbl 1419.76188 J. Fluid Mech. 871, 212-243 (2019). MSC: 76D33 76E15 PDFBibTeX XMLCite \textit{M. M. P. Couchman} et al., J. Fluid Mech. 871, 212--243 (2019; Zbl 1419.76188) Full Text: DOI
Halev, Avishai; Harris, Daniel M. Bouncing ball on a vibrating periodic surface. (English) Zbl 1408.70018 Chaos 28, No. 9, 096103, 5 p. (2018). MSC: 70K99 70E50 PDFBibTeX XMLCite \textit{A. Halev} and \textit{D. M. Harris}, Chaos 28, No. 9, 096103, 5 p. (2018; Zbl 1408.70018) Full Text: DOI
Tadrist, Loïc; Shim, Jeong-Bo; Gilet, Tristan; Schlagheck, Peter Faraday instability and subthreshold Faraday waves: surface waves emitted by walkers. (English) Zbl 1404.76091 J. Fluid Mech. 848, 906-945 (2018). MSC: 76D33 76E99 PDFBibTeX XMLCite \textit{L. Tadrist} et al., J. Fluid Mech. 848, 906--945 (2018; Zbl 1404.76091) Full Text: DOI arXiv
De Corato, M.; Garbin, V. Capillary interactions between dynamically forced particles adsorbed at a planar interface and on a bubble. (English) Zbl 1404.76092 J. Fluid Mech. 847, 71-92 (2018). MSC: 76D45 76T10 PDFBibTeX XMLCite \textit{M. De Corato} and \textit{V. Garbin}, J. Fluid Mech. 847, 71--92 (2018; Zbl 1404.76092) Full Text: DOI
Galeano-Rios, Carlos A.; Milewski, Paul A.; Vanden-Broeck, J.-M. Non-wetting impact of a sphere onto a bath and its application to bouncing droplets. (English) Zbl 1430.76157 J. Fluid Mech. 826, 97-127 (2017). MSC: 76D33 76D45 76D05 PDFBibTeX XMLCite \textit{C. A. Galeano-Rios} et al., J. Fluid Mech. 826, 97--127 (2017; Zbl 1430.76157) Full Text: DOI
Borghesi, Christian Equivalent quantum equations in a system inspired by bouncing droplets experiments. (English) Zbl 1379.81017 Found. Phys. 47, No. 7, 933-958 (2017). MSC: 81P05 74H99 81Q65 PDFBibTeX XMLCite \textit{C. Borghesi}, Found. Phys. 47, No. 7, 933--958 (2017; Zbl 1379.81017) Full Text: DOI arXiv
Durey, Matthew; Milewski, Paul A. Faraday wave-droplet dynamics: discrete-time analysis. (English) Zbl 1383.76105 J. Fluid Mech. 821, 296-329 (2017). MSC: 76D17 76D33 37N10 PDFBibTeX XMLCite \textit{M. Durey} and \textit{P. A. Milewski}, J. Fluid Mech. 821, 296--329 (2017; Zbl 1383.76105) Full Text: DOI
Faria, Luiz M. A model for Faraday pilot waves over variable topography. (English) Zbl 1383.76131 J. Fluid Mech. 811, 51-66 (2017). MSC: 76D33 76R10 PDFBibTeX XMLCite \textit{L. M. Faria}, J. Fluid Mech. 811, 51--66 (2017; Zbl 1383.76131) Full Text: DOI arXiv
Rahman, Aminur; Blackmore, Denis Neimark-Sacker bifurcations and evidence of chaos in a discrete dynamical model of walkers. (English) Zbl 1372.37097 Chaos Solitons Fractals 91, 339-349 (2016). MSC: 37G10 37N10 37N20 PDFBibTeX XMLCite \textit{A. Rahman} and \textit{D. Blackmore}, Chaos Solitons Fractals 91, 339--349 (2016; Zbl 1372.37097) Full Text: DOI arXiv
Milewski, Paul A.; Galeano-Rios, Carlos A.; Nachbin, André; Bush, John W. M. Faraday pilot-wave dynamics: modelling and computation. (English) Zbl 1382.76047 J. Fluid Mech. 778, 361-388 (2015). MSC: 76D05 76D33 76D45 PDFBibTeX XMLCite \textit{P. A. Milewski} et al., J. Fluid Mech. 778, 361--388 (2015; Zbl 1382.76047) Full Text: DOI Link
Oza, Anand U.; Wind-Willassen, Øistein; Harris, Daniel M.; Rosales, Rodolfo R.; Bush, John W. M. Pilot-wave hydrodynamics in a rotating frame: exotic orbits. (English) Zbl 1323.76115 Phys. Fluids 26, No. 8, Paper No. 082101, 17 p. (2014). MSC: 76T10 76U05 PDFBibTeX XMLCite \textit{A. U. Oza} et al., Phys. Fluids 26, No. 8, Paper No. 082101, 17 p. (2014; Zbl 1323.76115) Full Text: DOI Link
Wind-Willassen, Øistein; Moláček, Jan; Harris, Daniel M.; Bush, John W. M. Exotic states of bouncing and walking droplets. (English) Zbl 1320.76117 Phys. Fluids 25, No. 8, Paper No. 082002, 11 p. (2013). MSC: 76T10 76-05 PDFBibTeX XMLCite \textit{Ø. Wind-Willassen} et al., Phys. Fluids 25, No. 8, Paper No. 082002, 11 p. (2013; Zbl 1320.76117) Full Text: DOI Link
Oza, Anand U.; Rosales, Rodolfo R.; Bush, John W. M. A trajectory equation for walking droplets: hydrodynamic pilot-wave theory. (English) Zbl 1294.76254 J. Fluid Mech. 737, 552-570 (2013). MSC: 76T10 76E99 PDFBibTeX XMLCite \textit{A. U. Oza} et al., J. Fluid Mech. 737, 552--570 (2013; Zbl 1294.76254) Full Text: DOI Link