This book is devoted to analytically approximate methods in the nonlinear dynamics of a rigid body with cavities partly filled by liquid. It combines several methods and compares the results with experimental data. It is useful for experienced and early-stage readers interested …
The methods are normally based on the Bateman-Luke variational formalism combined with perturbation theory. The derived approximate equations of spatial motions of the body-liquid mechanical system (these equations are called mathematical models in the title) take the form of a …
Sharkovsky ordering
by Blokh, Alexander M., Sharkovsky, Oleksandr M.
fromSpringerBriefs in Mathematics
Provides a comprehensive survey of the Sharkovsky ordering, its different aspects and its role in dynamical systems theory and applications. It addresses the coexistence of cycles for continuous interval maps and one-dimensional spaces, combinatorial dynamics on the interval and…
Classical mechanics
by Awrejcewicz, Jan, Koruba, Zbigniew
fromAdvances in Mechanics and Mathematics
<P>This is the second volume of three books, by the same author, devoted to classical mechanics. In this book, <i>Classical Mechanics: Dynamics</i>, dynamical and advanced mechanics problems are stated, illustrated, and discussed, including a few novel concepts by comparison to …
This is the second volume of three books, by the same author, devoted to classical mechanics. In this book, Classical Mechanics: Dynamics, dynamical and advanced mechanics problems are stated, illustrated, and discussed, including a few novel concepts by comparison to standard t…