Abstract:
Results providing bounds of the nonwandering set of a mapping, hyperbolicity conditions, and the method of anti-integrability shed light on the global behavior of a discrete system. Following recent works, we use this approach to investigate the behavior of predator–prey systems in dimensions $2$ and $3$. Our goal is not only to present results regarding the existence of Bernoulli shifts and hyperbolicity in the phase space but also to emphasize the applicability of this approach in a variety of interesting systems.
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