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Reduction of Interaction Delays in Networks
Reduction of Interaction Delays Networks Dynamical Systems
2012/6/21
Delayed interactions are a common property of coupled natural systems. For instance, signals in neural or laser networks propagate at finite speed giving rise to delayed connections. Such systems are ...
Convergence and Rate Analysis of Neural Networks for Sparse Approximation
Locally Competitive Algorithm sparse approximation global stability exponential convergence non-smooth objective
2011/9/23
Abstract: We present an analysis of the Locally Competitive Algorithm (LCA), a Hopfield-style neural network that solves sparse approximation problems (e.g., approximating a vector from a dictionary u...
Variable elimination in post-translational modification reaction networks with mass-action kinetics
Polynomial equations Mass-action kinetics MAPK cascade Rational functions Chemical Reaction Networks
2011/10/8
Abstract: We define a subclass of Chemical Reaction Networks called Post-Translational Modification systems. Important biological examples of such systems include MAPK cascades and two-component syste...
Abstract: One of the popular dynamics on complex networks is the epidemic spreading. An epidemic model describes how infections spread throughout a network. Among the compartmental models used to desc...
A Linear Programming Approach to Weak Reversibility and Linear Conjugacy of Chemical Reaction Networks
chemical kinetics stability theory weak reversibility linear programming dynamical equivalence
2011/8/30
Abstract: A numerically effective procedure for determining weakly reversible chemical reaction networks that are linearly conjugate to a known reaction network is proposed in this paper. The method i...
Synchronization in networks of mobile oscillators
Synchronization networks of mobile oscillators
2010/12/28
We present a model of synchronization in networks of autonomous agents where the topology
changes due to agents motion. We introduce two time scales, one for the topological change and
another one f...
Spectrum Sharing between Cooperative Relay and Ad-hoc Networks: Dynamic Transmissions under Computation and Signaling Limitations
Spectrum Sharing between Cooperative Relay Ad-hoc Networks: Dynamic Transmissions
2010/12/13
This paper studies a spectrum sharing scenario between an uplink cognitive relay network (CRN) and some nearby low power ad-hoc networks.