Abstract
We show that interactions of inherently chaotic oscillators can lead to coexistence of regular oscillatory regimes and chaotic oscillations in the rings of coupled oscillators provided that the level of interaction between the oscillators exceeds a threshold value. The transformation of the initially chaotic dynamics into the regular dynamics in a number of the coupled oscillators is shown to result from suppression of chaos by separation of certain oscillation periods from the continuous spectra, which are characteristic of chaotic oscillations.
Highlights
Populations often demonstrate oscillatory dynamics [1]
One can see (Figure 7) that a slight increase in the parameter C values can lead to transition from chaotic dynamical regimes to coexistence of chaos and regular oscillations, or to regular oscillations, when chaos does not occur in the ring
Since the pioneering experiments by Galileo Galilei [13] and Christiaan Huygens [15], mechanisms of oscillatory processes and the effects associated with interactions between oscillatory processes have attracted the attention of researchers in various fields of physics, chemistry, biology, and ecology [3,17,18,19,20,21,22]
Summary
Populations often demonstrate oscillatory dynamics [1] These oscillations arise as a result of interactions between populations [2] and/or impacts of environmental factors, such as temperature, nutrient variations, and some others [3]. The data obtained in the course of long-term monitoring of the ecosystem of the Naroch Lakes (Belarus) were used in order to analyze characteristics of hydrobiont population dynamics. It was shown that chaotic regimes, which often occur in mathematical models of aquatic ecosystems [3], are characteristic of fluctuations in the plankton abundance in the Naroch Lakes [6]. One could expect that the chaotic nature of the plankton abundance fluctuations detected by measurements at several points (lake monitoring stations) reflects the nature of plankton dynamics in the entire water body.
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