Oscillations

The book introduces possibly the most compact, simple and physically understandable tool that can describe, explain, predict and design the widest set of phenomena in time-variant and nonlinear oscillations. The phenomena described include parametric resonances, combined resonances, instability of forced oscillations, synchronization, distributed parameter oscillation and flatter, parametric oscillation control, robustness of oscillations and many others.

This book reveals the French scientific contribution to the mathematical theory of nonlinear oscillations and its development. The work offers a critical examination of sources with a focus on the twentieth century, especially the period between the wars.

The ocean tides are the most prominent forced oscillations in the global ocean. Recent research showed that tides play an important role for the earth's climate system and they are of considerable interest for the post-processing of satellite data. To understand these oscillations it is substantial to determine and analyse the free oscillations, which describe the oscillation behaviour of the global ocean. A highly efficient ocean model is developed to compute these free oscillations with explicit consideration of dissipative terms and the full ocean loading and self-attraction (LSA).