Browsing by Author "Fuentes, Miguel Angel"
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Item Beneficial effects of human altruism(01/11/2011) Lozada, Mariana; D'Adamo, Paola; Fuentes, Miguel AngelIn this work we review converging evidence from several lines of research which suggests that altruism in humans can be intrinsically rewarding. Various investigations illustrate how human altruism can have beneficial effects on health and wellbeing. In this contribution we propose a model that includes positive effects of altruism. These beneficial effects lead to significant changes in the dynamics of the system, favouring higher levels of altruism and facilitating abrupt changes towards cooperation. In the present model, social modulation occurs at both individual and collective levels. The potential beneficial role of altruism proposed here may account for its occurrence among non-kin and beyond reciprocity.Item Diversity emerging: from competitive exclusion to neutral coexistence in ecosystems(01/08/2012) Keymer, Juan E.; Fuentes, Miguel Angel; Marquet, Pablo A.In this communication, we present a unifying framework to understand the emergence and maintenance of diversity in ecological systems. We do this by developing a deterministic population model including density-dependent limitation in resources and available space. Our model shows that competitive exclusion and neutral coexistence represent different regimes of the same adaptive dynamics suggesting that neutrality is the general result of an adaptive process in a finite habitat with limited energetic resources. Our model explains the emergence of biodiversity through mutation and its maintenance through neutrality. We show that this framework provides the theoretical foundations to understand the emergence and maintenance of diversity in microbial ecosystems.Item First passage time on pattern formation in a non-local Fisher population dynamics(2013) Fuentes, Miguel Angel; Cáceres, Manuel O.We use stochastic dynamics to develop the patterned attractor of a non-local extended system. This is done analytically using the stochastic path perturbation approach scheme, where a theory of perturbation in the small noise parameter is introduced to analyze the random escape of the stochastic field from the unstable state. Emphasis is placed on the specific mode selection that these types of systems exhibit. Concerning the stochastic propagation of the front we have carried out Monte Carlo simulations which coincide with our theoretical predictions.Item Self-generated dynamic landscape: The message–receiver interaction case(2013) Fuentes, Miguel Angel; Miguel, HernanItem Sums of variables at the onset of chaos(2014) Fuentes, Miguel Angel; Robledo, AlbertoWe explain how specific dynamical properties give rise to the limit distribution of sums of deterministic variables at the transition to chaos via the period-doubling route. We study the sums of successive positions generated by an ensemble of initial conditions uniformly distributed in the entire phase space of a unimodal map as represented by the logistic map. We find that these sums acquire their salient, multiscale, features from the repellor preimage structure that dominates the dynamics toward the attractors along the perioddoubling cascade. And we explain how these properties transmit from the sums to their distribution. Specifically, we show how the stationary distribution of sums of positions at the Feigebaum point is built up from those associated with the supercycle attractors forming a hierarchical structure with multifractal and discrete scale invariance properties.