23,918 research outputs found
Darwin’s neuroscientist: Gerald M. Edelman, 1929-2014
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Fractional Dynamical Systems
In this paper the author presents the results of the preliminary
investigation of fractional dynamical systems based on the results of numerical
simulations of fractional maps. Fractional maps are equivalent to fractional
differential equations describing systems experiencing periodic kicks. Their
properties depend on the value of two parameters: the non-linearity parameter,
which arises from the corresponding regular dynamical systems; and the memory
parameter which is the order of the fractional derivative in the corresponding
non-linear fractional differential equations. The examples of the fractional
Standard and Logistic maps demonstrate that phase space of non-linear
fractional dynamical systems may contain periodic sinks, attracting slow
diverging trajectories, attracting accelerator mode trajectories, chaotic
attractors, and cascade of bifurcations type trajectories whose properties are
different from properties of attractors in regular dynamical systems. The
author argues that discovered properties should be evident in the natural
(biological, psychological, physical, etc.) and engineering systems with
power-law memory.Comment: 6 pages, 4 figure
Opening Address For The Seventh Annual Stein Center Symposium on Contemporary Urban Challenges
This article is a published version of the opening address of Peter Edelman at the Seventh Annual Stein Center Symposium on Contemporary Urban Challenges, which identifies the challenges in lawyering to the poor and proposes approaches for lawyers to reduce poverty. Peter Edelman\u27s speech challenges the private Bar to take on greater responsibility in helping to formulate policy that will work to eradicate the plight of the poor, calls for greater lawyer involvement in policy adaptation and implementation, identifies new roles that lawyers can and should play in helping to build and strengthen community institutions, and maintains that community building needs to become a major focus of lawyering for the poor
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