Corpus ID: 195799041

Effective networks: a model to predict network structure and critical transitions from datasets

  title={Effective networks: a model to predict network structure and critical transitions from datasets},
  author={Deniz Eroglu and Matteo Tanzi and Sebastian van Strien and Tiago Pereira},
  journal={arXiv: Adaptation and Self-Organizing Systems},
Real-world complex systems such as ecological communities and neuron networks are essential parts of our everyday lives. These systems are composed of units which interact through intricate networks. The ability to predict sudden changes in network behaviour, known as critical transitions, from data is important to avert disastrous consequences of major disruptions. Predicting such changes is a major challenge as it requires forecasting the behaviour for parameter ranges for which no data on… Expand


Heterogeneously coupled maps: hub dynamics and emergence across connectivity layers
The aim of this paper is to rigorously study dynamics of Heterogeneously Coupled Maps (HCM). Such systems are determined by a network with heterogeneous degrees. Some nodes, called hubs, are veryExpand
One-Dimensional Dynamics
0. Introduction.- I. Circle Diffeomorphisms.- 1. The Combinatorial Theory of Poincare.- 2. The Topological Theory of Denjoy.- 2.a The Denjoy Inequality.- 2.b Ergodicity.- 3. Smooth ConjugacyExpand
An equation for continuous chaos
Abstract A prototype equation to the Lorenz model of turbulence contains just one (second-order) nonlinearity in one variable. The flow in state space allows for a “folded” Poincare map (horseshoeExpand