Zobrazeno 1 - 10
of 20
pro vyhledávání: '"Adam Svenkeson"'
Publikováno v:
New Journal of Physics, Vol 21, Iss 3, p 033043 (2019)
We consider the coupling between two networks, each having N nodes whose individual dynamics is modeled by a two-state master equation. The intra-network interactions are all-to-all, whereas the inter-network interactions involve only a small percent
Externí odkaz:
https://doaj.org/article/b6224f06ac194f52ac90a87f93a448de
Publikováno v:
Advances in Mathematical Physics, Vol 2013 (2013)
We study complex processes whose evolution in time rests on the occurrence of a large and random number of events. The mean time interval between two consecutive critical events is infinite, thereby violating the ergodic condition and activating at t
Externí odkaz:
https://doaj.org/article/1d7b8e22153c4e3aa4f0ef6b1d41c801
Autor:
Adam Svenkeson, Bruce J. West
Publikováno v:
Chaos, Solitons & Fractals. 113:40-45
We discuss how to generate an extended critical phase by controlling, with two control parameters, the transition rates of two-state stochastic units. The Langevin equation describing the mean field dynamics becomes strongly nonlinear and admits larg
Autor:
Bruce J. West, Adam Svenkeson
Publikováno v:
Physical Review E. 100
How often should a random walker change its direction of motion in order to maximize correlation in velocity fluctuations over a finite time interval? We address this optimal diffusion problem in the context of the one-dimensional persistent random w
Publikováno v:
Journal of Computational Physics. 293:297-311
Diffusion processes in heterogeneous media, and biological systems in particular, are riddled with the difficult theoretical issue of whether the true origin of anomalous behavior is renewal or memory, or a special combination of the two. Accounting
Publikováno v:
Journal of Statistical Physics. 160:466-476
The mean field for a complex network consisting of a large but finite number of random two-state elements, \(M\), has been shown to satisfy a nonlinear Langevin equation. The noise intensity is inversely proportional to \(\sqrt{M} \). In the limiting
Publikováno v:
Physica A: Statistical Mechanics and its Applications. 392:5663-5672
The fundamental connection between fractional calculus and subordination processes is explored and affords a physical interpretation of a fractional trajectory, that being an average over an ensemble of stochastic trajectories. Heretofore what has be
Publikováno v:
Physica A: Statistical Mechanics and its Applications. 392:2302-2310
The dynamics of a two-state decision-making model (DMM) with a tunable control parameter K is described. On all-to-all (ATA) networks, the system undergoes a phase transition at a critical value of K c = 1 . Scale-free networks were also found to und
Autor:
David Lambert, Adam Svenkeson, Paolo Grigolini, Nicola Piccinini, Pensri Pramukkul, Bruce J. West
Publikováno v:
Frontiers in Bioengineering and Biotechnology, Vol 3 (2015)
Frontiers in Bioengineering and Biotechnology
Frontiers in Bioengineering and Biotechnology
The recent article \cite{hebbian} discusses the emergence of intelligence via criticality as a consequence of locality breakdown. Herein, we use criticality for the foundation of a novel generation of game theory making the local interaction between
Autor:
Ananthram Swami, Adam Svenkeson
Publikováno v:
Scientific Reports
Group decision-making processes often turn into a drawn out and costly battle between two opposing subgroups. Using analytical arguments based on a master equation description of the opinion dynamics occurring in a three-state model of cooperatively