3,788 research outputs found
Emergent Dynamics for the Hydrodynamic Cucker--Smale System in a Moving Domain
We study the emergent dynamics for the hydrodynamic Cucker--Smale system arising in the modeling of flocking dynamics in interacting many-body systems. Specifically, the initial value problem with a moving domain is considered to investigate the global existence and time-asymptotic behavior of classical solutions, provided that the initial mass density has bounded support and the initial data are in an appropriate Sobolev space. In order to show the emergent behavior of flocking, we make use of an appropriate Lyapunov functional that measures the total fluctuation in the velocity relative to the mean velocity. In our analysis, we present the local well-posedness of the smooth solutions via Lagrangian coordinates, and we extend to the global-in-time solutions by establishing the uniform flocking estimates.close
Generating self-organizing collective behavior using separation dynamics from experimental data
Mathematical models for systems of interacting agents using simple local
rules have been proposed and shown to exhibit emergent swarming behavior. Most
of these models are constructed by intuition or manual observations of real
phenomena, and later tuned or verified to simulate desired dynamics. In
contrast to this approach, we propose using a model that attempts to follow an
averaged rule of the essential distance-dependent collective behavior of real
pigeon flocks, which was abstracted from experimental data. By using a simple
model to follow the behavioral tendencies of real data, we show that our model
can exhibit emergent self-organizing dynamics such as flocking, pattern
formation, and counter-rotating vortices. The range of behaviors observed in
our simulations are richer than the standard models of collective dynamics, and
should thereby give potential for new models of complex behavior.Comment: Submitted to Chao
Measuring autonomy and emergence via Granger causality
Concepts of emergence and autonomy are central to artificial life and related cognitive and behavioral sciences. However, quantitative and easy-to-apply measures of these phenomena are mostly lacking. Here, I describe quantitative and practicable measures for both autonomy and emergence, based on the framework of multivariate autoregression and specifically Granger causality. G-autonomy measures the extent to which the knowing the past of a variable helps predict its future, as compared to predictions based on past states of external (environmental) variables. G-emergence measures the extent to which a process is both dependent upon and autonomous from its underlying causal factors. These measures are validated by application to agent-based models of predation (for autonomy) and flocking (for emergence). In the former, evolutionary adaptation enhances autonomy; the latter model illustrates not only emergence but also downward causation. I end with a discussion of relations among autonomy, emergence, and consciousness
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