Multidimensional modal analysis of nonlinear sloshing in a rectangular tank with finite water depth OM Faltinsen, OF Rognebakke, IA Lukovsky, AN Timokha Journal of fluid mechanics 407, 201-234, 2000 | 534 | 2000 |

Introduction to nonlinear dynamics of rigid bodies with the cavities partially filled by a fluid IA Lukovsky Kiev: Naukova Dumka, 1990 | 163* | 1990 |

Nonlinear dynamics of flying apparatus with liquid GS Narimanov, LV Dokuchaev, IA Lukovsky Mashinostroenie, Moscow 203, 1977 | 136* | 1977 |

Динамика одномерных отображений АН Шарковский | 128 | 1989 |

Sloshing in a vertical circular cylindrical tank with an annular baffle. Part 1. Linear fundamental solutions I Gavrilyuk, I Lukovsky, Y Trotsenko, A Timokha Journal of Engineering Mathematics 54, 71-88, 2006 | 120 | 2006 |

Approximate methods of solving the problems of the dynamics of a limited liquid volume IA Lukovsky, MY Barnyak, AN Komarenko Kiev: Naukova Dumka, 1984 | 97* | 1984 |

The Methods for Determining the Added Fluid Masses in Mobile Cavities SF Feschenko, IA Lukovsky, BI Rabinovich, LV Dokuchaev Kiev: Naukova dumka (in Russian), 1969 | 66* | 1969 |

Linear and nonlinear sloshing in a circular conical tank IP Gavrilyuk, IA Lukovsky, AN Timokha Fluid Dynamics Research 37 (6), 399-429, 2005 | 64 | 2005 |

Nonlinear dynamics: mathematical models for rigid bodies with a liquid IA Lukovsky Walter de Gruyter GmbH & Co KG, 2015 | 58 | 2015 |

Resonant sloshing in an upright annular tank OM Faltinsen, IA Lukovsky, AN Timokha Journal of Fluid Mechanics 804, 608-645, 2016 | 53 | 2016 |

Nonlinear sloshing in tanks of complex geometrical shape IA Lukovsky Kiev: Naukova Dumka, 1975 | 49* | 1975 |

Natural sloshing frequencies in rigid truncated conical tanks I Gavrilyuk, M Hermann, I Lukovsky, O Solodun, A Timokha Engineering Computations 25 (6), 518-540, 2008 | 44 | 2008 |

Sloshing in a vertical circular cylindrical tank with an annular baffle. Part 2. Nonlinear resonant waves I Gavrilyuk, I Lukovsky, Y Trotsenko, A Timokha Journal of Engineering Mathematics 57, 57-78, 2007 | 42 | 2007 |

Variational methods in nonlinear dynamics of a limited liquid volume IA Lukovsky, AN Timokha Kiev: Institute of Mathematics (in Russian), 1995 | 35* | 1995 |

A multimodal approach to nonlinear sloshing in a circular cylindrical tank IP Gavrilyuk, IA Lukovsky, AN Timokha Hybrid Methods in Engineering 2 (4), 2000 | 33 | 2000 |

Two-dimensional variational vibroequilibria and Faraday’s drops I Gavrilyuk, I Lukovsky, A Timokha Zeitschrift für angewandte Mathematik und Physik ZAMP 55, 1015-1033, 2004 | 32 | 2004 |

Compressible potential flows with free boundaries, part 1: vibrocapillary equilibria K Beyer, A Timokha, I Gawriljuk, I Lukovsky, M Günther | 31 | 1999 |

Variational method in the nonlinear problems of the dynamics of a limited liquid volume with free surface IA Lukovsky Oscillations of elastic constructions with liquid, 1976 | 28 | 1976 |

Modal modeling of nonlinear fluid sloshing in tanks with non-vertical walls. Non-conformal mapping technique IA Lukovsky, AN Timokha International Journal of Fluid Mechanics Research 29 (2), 2002 | 27 | 2002 |

Interaction of Thin-Walled Elastic Elements with a Fluid in Moving Containers IA Lukovskii, VA Trotsenko, VI Usyukin Naukova Dumka, 1989 | 24* | 1989 |