Chaos in low-dimensional Lotka–Volterra models of competition

By J. Vano, J. Wildenberg, M. Anderson, J. Noel, Julien Clinton Sprott. 2006

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Criticality in the brain: A synthesis of neurobiology, models and cognition. (2017, background): “For three or more interacting species, further bifurcations to more complex dynamics can occur, leading from periodic to chaotic oscillations (smooth and deterministic but aperiodic oscillations) (Arneodo et al., 1980; Vano et al., 2006).”
Data-driven non-Markovian closure models (2014, background): “These parameter values are those used in [133, 134], for which numerical evidence of chaos is well established.”
Adaptive consensus with a virtual leader of multiple agents governed by locally Lipschitz nonlinearity (2013, methodology): “Examples include the Lorenz-like system [22], the FitzHugh–Rinzel system [23], the Rössler system [24], and the Lotka–Volterra model of multiple competitive species [25].”
Diffusive and nondiffusive population models (2010, background): “For instance, chaos has been observed in models with four competing species (see [ 142 ] and the references therein).”