Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1897136 | Physica D: Nonlinear Phenomena | 2011 | 16 Pages |
Abstract
⺠We give an overview of dynamical systems theory applicable to critical transitions. ⺠A rigorous definition and many results follow from this framework. ⺠We investigate the variance as an early-warning sign using normal forms. ⺠Numerical, geometric and analytical results for the variance are obtained. ⺠Stochastic P-bifurcations are suggested as a new early-warning sign.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Christian Kuehn,