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 | 450 | 2000 |

Introduction to nonlinear dynamics of rigid bodies with the cavities partially filled by a fluid IA Lukovsky Kiev: Naukova Dumka, 1990 | 140* | 1990 |

Nonlinear Dynamics of an Aircraft with a Liquid GS Narimanov, LV Dokuchaev, IA Lukovskii Mashinostroenie, Moscow, 1977 | 137* | 1977 |

Динамика одномерных отображений АН Шарковский, СФ Коляда, АГ Сивак, ВВ Федоренко Наукова думка, 1989 | 110 | 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 (1), 71, 2006 | 98 | 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 | 95* | 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 | 91* | 1969 |

Nonlinear sloshing in tanks of complex geometrical shape IA Lukovsky Kiev: Naukova Dumka, 1975 | 51* | 1975 |

Linear and nonlinear sloshing in a circular conical tank IP Gavrilyuk, IA Lukovsky, AN Timokha Fluid Dynamics Research 37 (6), 399-429, 2005 | 50 | 2005 |

Nonlinear dynamics: mathematical models for rigid bodies with a liquid IA Lukovsky Walter de Gruyter GmbH & Co KG, 2015 | 40 | 2015 |

Natural sloshing frequencies in rigid truncated conical tanks I Gavrilyuk, M Hermann, I Lukovsky, O Solodun, A Timokha Engineering Computations, 2008 | 40 | 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 (1), 57-78, 2007 | 36 | 2007 |

Mathematical models of nonlinear dynamics solid bodies with a liquid IO Lukovsky Ukraine, Kyiv: Naukova Dumka, 2010 | 34* | 2010 |

Variational methods in nonlinear dynamics of a limited liquid volume IA Lukovsky, AN Timokha Kiev: Institute of Mathematics (in Russian), 1995 | 34* | 1995 |

Resonant sloshing in an upright annular tank OM Faltinsen, IA Lukovsky, AN Timokha J. Fluid Mech 804, 608-645, 2016 | 33 | 2016 |

A multimodal approach to nonlinear sloshing in a circular cylindrical tank IP Gavrilyuk, IA Lukovsky, AN Timokha Hybrid Methods in Engineering 2 (4), 2000 | 32 | 2000 |

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 | 26 | 2002 |

Two-dimensional variational vibroequilibria and Faraday’s drops I Gavrilyuk, I Lukovsky, A Timokha Zeitschrift für angewandte Mathematik und Physik ZAMP 55 (6), 1015-1033, 2004 | 24 | 2004 |

Compressible potential flows with free boundaries. Part I: Vibrocapillary equilibria K Beyer, I Gawriljuk, M Günther, I Lukovsky, A Timokha ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte …, 2001 | 23 | 2001 |