@article{MTMT:32392086,
	title = {GPU accelerated numerical investigation of the spherical stability of an acoustic cavitation bubble excited by dual-frequency},
	url = {https://m2.mtmt.hu/api/publication/32392086},
	author = {Klapcsik, Kálmán},
	doi = {10.1016/j.ultsonch.2021.105684},
	journal-iso = {ULTRASON SONOCHEM},
	journal = {ULTRASONICS SONOCHEMISTRY},
	volume = {77},
	unique-id = {32392086},
	issn = {1350-4177},
	abstract = {The spherical stability of an acoustic cavitation bubble under dual-frequency excitation is investigated numerically. The radial dynamics is described by the Keller-Miksis equation, which is a second-order ordinary differential equation. The surface dynamics is modelled by a set of linear ordinary differential equation according to Hao and Prosperetti (1999), which takes into account the effect of vorticity by boundary layer approximation. Due to the large amount of investigated parameter combinations, the numerical computations were carried out on graphics processing units. The results showed that for bubble size between RE = 2 mu m and 4 mu m, the combination of a low and a high frequency, and the combination of two close but not equal frequencies are important to prevent the bubble losing its shape stability, while reaching the chemical threshold (Rmax/RE = 3) (Kalm ' ar et al., 2020). The phase shift between harmonic components of dual-frequency excitation has no effect on the shape stability.},
	keywords = {Sonochemistry; Bubble dynamics; GPU programming; Spherical stability},
	year = {2021},
	eissn = {1873-2828}
}

@article{MTMT:31648132,
	title = {Acoustic vibrational resonance in a Rayleigh-Plesset bubble oscillator},
	url = {https://m2.mtmt.hu/api/publication/31648132},
	author = {Omoteso, K.A. and Roy-Layinde, T.O. and Laoye, J.A. and Vincent, U.E. and McClintock, P.V.E.},
	doi = {10.1016/j.ultsonch.2020.105346},
	journal-iso = {ULTRASON SONOCHEM},
	journal = {ULTRASONICS SONOCHEMISTRY},
	volume = {70},
	unique-id = {31648132},
	issn = {1350-4177},
	year = {2021},
	eissn = {1873-2828}
}

@article{MTMT:31273246,
	title = {Investigation of the 1/2 order subharmonic emissions of the period-2 oscillations of an ultrasonically excited bubble},
	url = {https://m2.mtmt.hu/api/publication/31273246},
	author = {Sojahrood, A.J. and Earl, R. and Kolios, M.C. and Karshafian, R.},
	doi = {10.1016/j.physleta.2020.126446},
	journal-iso = {PHYS LETT A},
	journal = {PHYSICS LETTERS A},
	volume = {384},
	unique-id = {31273246},
	issn = {0375-9601},
	year = {2020},
	eissn = {1873-2429},
	orcid-numbers = {Sojahrood, A.J./0000-0003-1594-5819}
}

@article{MTMT:31853356,
	title = {Introduction to the dynamics of driven nonlinear systems},
	url = {https://m2.mtmt.hu/api/publication/31853356},
	author = {Vincent, U. E. and Kolebaje, O.},
	doi = {10.1080/00107514.2020.1850003},
	journal-iso = {CONTEMP PHYS},
	journal = {CONTEMPORARY PHYSICS},
	volume = {63},
	unique-id = {31853356},
	issn = {0010-7514},
	year = {2020},
	eissn = {1366-5812},
	pages = {169-192}
}

@article{MTMT:30882591,
	title = {Collective nonlinear behavior of interacting polydisperse microbubble clusters},
	url = {https://m2.mtmt.hu/api/publication/30882591},
	author = {Haghi, H. and Sojahrood, A. J. and Kolios, Michael C.},
	doi = {10.1016/j.ultsonch.2019.104708},
	journal-iso = {ULTRASON SONOCHEM},
	journal = {ULTRASONICS SONOCHEMISTRY},
	volume = {58},
	unique-id = {30882591},
	issn = {1350-4177},
	abstract = {Acoustically excited microbubbles (MBs) have shown to exhibit rich dynamics, enabling them to be employed in various applications ranging from chemistry to medicine. Exploiting the full potential of MBs for applications requires a good understanding of their complex dynamics. Improved understanding of MB oscillations can lead to further enhancement in optimizing their efficacy in many applications and also invent new ones. Oscillating MBs have been shown to generate secondary pressure waves that modify the dynamics of the MBs in their proximity. A modified Keller-Miksis equation is used to account for inter-bubble interactions. The oscillatory dynamics of each MB within clusters was computed by numerically solving the resulting system of coupled nonlinear second order differential equations in potential fluid flow. Frequency response analysis and bifurcation diagrams were employed to track the dynamics of interacting MBs. We start with investigating the effect of inter-bubble interactions for cases of three and four MBs over a wide range of acoustic and geometric parameters. Emergent collective behavior was observed which are dominated by the dynamics of the largest MB within the cluster. The emergent dynamics of smaller MBs within clusters can be characterized by constructive and destructive inter-bubble interactions. In constructive interactions, the radial oscillations of smaller MBs matched those of the largest MB and their oscillations are amplified. In destructive interactions, the oscillations of smaller bubbles are suppressed so that their oscillations match those of the largest MB. Furthermore, a special case of constructive interactions is presented where dominant MB (largest) can force smaller MBs into period doubling and subharmonic oscillations. The collective behavior is further investigated in large MB cluster and it is shown that largest MBs, even in small numbers can force smaller ones into period doubling and subharmonic oscillations.},
	year = {2019},
	eissn = {1873-2828}
}

@article{MTMT:30479619,
	title = {A simple method to analyze the super-harmonic and ultra-harmonic behavior of the acoustically excited bubble oscillator},
	url = {https://m2.mtmt.hu/api/publication/30479619},
	author = {Sojahrood, A.J. and Wegierak, D. and Haghi, H. and Karshfian, R. and Kolios, Michael C.},
	doi = {10.1016/j.ultsonch.2019.02.010},
	journal-iso = {ULTRASON SONOCHEM},
	journal = {ULTRASONICS SONOCHEMISTRY},
	volume = {54},
	unique-id = {30479619},
	issn = {1350-4177},
	year = {2019},
	eissn = {1873-2828},
	pages = {99-109}
}

@article{MTMT:30814141,
	title = {High Dimensional Parameter Fitting of the Keller–Miksis Equation on an Experimentally Observed Dual-Frequency Driven Acoustic Bubble},
	url = {https://m2.mtmt.hu/api/publication/30814141},
	author = {Varga, Roxána and Mettin, Robert},
	doi = {10.3311/PPme.14141},
	journal-iso = {PERIOD POLYTECH MECH ENG},
	journal = {PERIODICA POLYTECHNICA-MECHANICAL ENGINEERING},
	volume = {64},
	unique-id = {30814141},
	issn = {0324-6051},
	year = {2019},
	eissn = {1587-379X},
	pages = {326-335},
	orcid-numbers = {Varga, Roxána/0000-0003-3396-7499}
}

@article{MTMT:3393087,
	title = {Non-feedback technique to directly control multistability in nonlinear oscillators by dual-frequency driving: GPU accelerated topological analysis of a bubble in water},
	url = {https://m2.mtmt.hu/api/publication/3393087},
	author = {Hegedűs, Ferenc and Lauterborn, W and Parlitz, U and Mettin, R},
	doi = {10.1007/s11071-018-4358-z},
	journal-iso = {NONLINEAR DYNAM},
	journal = {NONLINEAR DYNAMICS},
	volume = {94},
	unique-id = {3393087},
	issn = {0924-090X},
	year = {2018},
	eissn = {1573-269X},
	pages = {273-293},
	orcid-numbers = {Hegedűs, Ferenc/0000-0002-8693-1660}
}

@article{MTMT:3412619,
	title = {Bi-parametric topology of subharmonics of an asymmetric bubble oscillator at high dissipation rate. The exoskeleton, its internal structure and the missing fine substructure},
	url = {https://m2.mtmt.hu/api/publication/3412619},
	author = {Klapcsik, Kálmán and Varga, Roxána and Hegedűs, Ferenc},
	doi = {10.1007/s11071-018-4497-2},
	journal-iso = {NONLINEAR DYNAM},
	journal = {NONLINEAR DYNAMICS},
	volume = {94},
	unique-id = {3412619},
	issn = {0924-090X},
	year = {2018},
	eissn = {1573-269X},
	pages = {2373-2389},
	orcid-numbers = {Varga, Roxána/0000-0003-3396-7499; Hegedűs, Ferenc/0000-0002-8693-1660}
}

@article{MTMT:3028300,
	title = {Topological analysis of the periodic structures in a harmonically driven bubble oscillator near Blake's critical threshold: Infinite sequence of two-sided Farey ordering trees},
	url = {https://m2.mtmt.hu/api/publication/3028300},
	author = {Hegedűs, Ferenc},
	doi = {10.1016/j.physleta.2016.01.022},
	journal-iso = {PHYS LETT A},
	journal = {PHYSICS LETTERS A},
	volume = {380},
	unique-id = {3028300},
	issn = {0375-9601},
	year = {2016},
	eissn = {1873-2429},
	pages = {1012-1022},
	orcid-numbers = {Hegedűs, Ferenc/0000-0002-8693-1660}
}

@article{MTMT:3105702,
	title = {Classification of the bifurcation structure of a periodically driven gas bubble},
	url = {https://m2.mtmt.hu/api/publication/3105702},
	author = {Varga, Roxána and Hegedűs, Ferenc},
	doi = {10.1007/s11071-016-2960-5},
	journal-iso = {NONLINEAR DYNAM},
	journal = {NONLINEAR DYNAMICS},
	volume = {86},
	unique-id = {3105702},
	issn = {0924-090X},
	year = {2016},
	eissn = {1573-269X},
	pages = {1239-1248},
	orcid-numbers = {Varga, Roxána/0000-0003-3396-7499; Hegedűs, Ferenc/0000-0002-8693-1660}
}

@inproceedings{MTMT:2936050,
	title = {Bifurcation Structure Of A Periodically Driven Bubble Oscillator Near Blake’s Critical Threshold},
	url = {https://m2.mtmt.hu/api/publication/2936050},
	author = {Hegedűs, Ferenc and Varga, Roxána and Klapcsik, Kálmán},
	booktitle = {Proceedings of Conference on Modelling Fluid Flow (CMFF'15)},
	unique-id = {2936050},
	abstract = {It is well-known that gas/vapour bubbles in liquids growth 
		indefinitely if the ambient pressure exceeds Blake’s critical 
		threshold. For several decades of investigations, researchers 
		tried to find numerical evidence for the stabilization of 
		such bubbles by applying a harmonically varying pressure 
		field on the liquid domain (ultrasonic irradiation) in this 
		regime, with only partial success. Since, the applied 
		linearization on the bubble models restricted the findings 
		only for small amplitude radial oscillations. Therefore, the 
		present paper intends to reveal the particularly complex 
		dynamics of a harmonically excited bubble near, but still 
		below Blake’s threshold. The computed solutions with a 
		variety of periodicity, e.g., from period 1 up to period 9, 
		form a well-organised structure with respect to the pressure 
		amplitude of the excitation, provided that the applied 
		frequency is higher than the first subharmonic resonance 
		frequency of the bubble. This predictable behaviour provides 
		a good basis for further investigation to find the relevant 
		stable oscillations beyond Blake’s threshold. Although, the 
		investigated model is the very simple Rayleigh—Plesset 
		equation, the applied numerical technique is free of the 
		restriction of low amplitude oscillations.},
	year = {2015},
	orcid-numbers = {Hegedűs, Ferenc/0000-0002-8693-1660; Varga, Roxána/0000-0003-3396-7499}
}

@article{MTMT:2913237,
	title = {The effect of high viscosity on the collapse-like chaotic and regular periodic oscillations of a harmonically excited gas bubble},
	url = {https://m2.mtmt.hu/api/publication/2913237},
	author = {Hegedűs, Ferenc and Klapcsik, Kálmán},
	doi = {10.1016/j.ultsonch.2015.05.010},
	journal-iso = {ULTRASON SONOCHEM},
	journal = {ULTRASONICS SONOCHEMISTRY},
	volume = {27},
	unique-id = {2913237},
	issn = {1350-4177},
	year = {2015},
	eissn = {1873-2828},
	pages = {153-164},
	orcid-numbers = {Hegedűs, Ferenc/0000-0002-8693-1660}
}

@article{MTMT:2873602,
	title = {Numerical investigation of the strength of collapse of a harmonically excited bubble},
	url = {https://m2.mtmt.hu/api/publication/2873602},
	author = {Varga, Roxána and Paál, György},
	doi = {10.1016/j.chaos.2015.03.007},
	journal-iso = {CHAOS SOLITON FRACT},
	journal = {CHAOS SOLITONS & FRACTALS},
	volume = {76},
	unique-id = {2873602},
	issn = {0960-0779},
	year = {2015},
	eissn = {1873-2887},
	pages = {56-71},
	orcid-numbers = {Varga, Roxána/0000-0003-3396-7499; Paál, György/0000-0003-1426-2215}
}

@article{MTMT:2697910,
	title = {Stable bubble oscillations beyond Blake’s critical threshold},
	url = {https://m2.mtmt.hu/api/publication/2697910},
	author = {Hegedűs, Ferenc},
	doi = {10.1016/j.ultras.2014.01.006},
	journal-iso = {ULTRASONICS},
	journal = {ULTRASONICS},
	volume = {54},
	unique-id = {2697910},
	issn = {0041-624X},
	year = {2014},
	eissn = {1874-9968},
	pages = {1113-1121},
	orcid-numbers = {Hegedűs, Ferenc/0000-0002-8693-1660}
}