Хаотические колебания, бифуркация и синхронизация в морских динамических системах

Abstract

The paper discusses the results of studying the behavior of marine dynamical systems, including those with chaotic oscillations. and the need for such studies was primarily stimulated by practical goals, first of all, to take into account the consequences in the ship mooring systems, that the emergence of complex dynamics can lead to. The theory of nonlinear dynamic systems developed to date shows that a large wave can be formed as a combination of smaller waves. The described studies were carried out using the data from field observations in port bays and the coastal zone of Sakhalin Island and mathematical models of dynamical systems using the Duffing and Van der Pol equations. This provides a comprehensive understanding of the behavior of dynamic systems, taking into account the impact of the incoming sea waves on them and allows to develop the recommendations for the prevention of catastrophic situations. It is shown that during the strong wind waves in the bays, also combined with tidal waves, the wave regime can change to chaotic, in which the formation of waves of large amplitude is possible. Also, when pitching of a moored vessel on the incoming waves, the "impact generator" mode may arise, when the vessel will hit the dampers with great force. The behavior of the coastal dynamic system for an ice-covered sea is considered. It is shown that, under certain conditions, synchronization of the periods of sea ice floes oscillations with the period of incoming waves is possible. Such a process can lead to an increase in the amplitude of ice floe oscillations and, as a consequence, to its destruction, which is dangerous and can be used to signal an alarm. For specialists in the field of ocean dynamics and coastal engineering, undergraduate and graduate students in the field of oceanology and physics of the atmosphere and hydrosphere.