How Cooperative Systems Respond to External Forces

How Cooperative Systems Respond to External Forces

Date: May 2014
Creator: Svenkeson, Adam
Description: Cooperative interactions permeate through nature, bringing about emergent behavior and complexity. Using a simple cooperative model, I illustrate the mean field dynamics that occur at the critical point of a second order phase transition in the framework of Langevin equations. Through this formalism I discuss the response, both linear and nonlinear, to external forces. Emphasis is placed on how information is transferred from one individual to another in order to facilitate the collective response of the cooperative network to a localized perturbation. The results are relevant to a wide variety of systems, ranging from nematic liquid crystals, to flocks and swarms, social groups, and neural networks.
Contributing Partner: UNT Libraries
Linear response at criticality

Linear response at criticality

Date: October 24, 2012
Creator: Svenkeson, Adam; Bologna, Mauro & Grigolini, Paolo
Description: In this article, the authors study a set of cooperatively interacting units at criticality, and prove with analytical and numerical arguments that they generate the same renewal non-Poisson intermittency as that produced by blinking quantum dots.
Contributing Partner: UNT College of Arts and Sciences
Effect of noise and detector sensitivity on a dynamical process: Inverse power law and Mittag-Leffler interevent time survival probabilities

Effect of noise and detector sensitivity on a dynamical process: Inverse power law and Mittag-Leffler interevent time survival probabilities

Date: February 10, 2014
Creator: Pramukkul, Pensri; Svenkeson, Adam & Grigolini, Paolo
Description: Article on the effect of noise and detector sensitivity on a dynamical process and the inverse power law and Mittag-Leffler interevent time survival probabilities.
Contributing Partner: UNT College of Arts and Sciences
Neural Dynamics: Criticality, Cooperation, Avalanches and Entrainment between Complex Networks

Neural Dynamics: Criticality, Cooperation, Avalanches and Entrainment between Complex Networks

Date: May 22, 2012
Creator: Grigolini, Paolo; Zare, Marzieh; Svenkeson, Adam & West, Bruce J.
Description: Book chapter discussing neural dynamics and the criticality, cooperation, avalanches and entrainment between complex networks.
Contributing Partner: UNT College of Arts and Sciences
Complexity and the Fractional Calculus

Complexity and the Fractional Calculus

Date: March 28, 2013
Creator: Pramukkul, Pensri; Svenkeson, Adam; Grigolini, Paolo; Bologna, Mauro & West, Bruce J.
Description: Article discussing a study on complexity and the fractional calculus.
Contributing Partner: UNT College of Arts and Sciences