NBRIT Webinar 1/19/16: Peter Ashwin presents on Tipping Points for Parameter Shifts
20 Jan 2016 | | Contributor(s):: Peter Ashwin
Abstract: It seems that a mathematical definition for tipping points or critical transitions in general may be very difficult owing to the wide range of phenomena that are usefully classified as tipping points. However in some contexts a definition that goes beyond classical bifurcations may be...
Nonsmooth Discussion, dBBCK, Chapter 2.5-2.6
10 Dec 2015 | | Contributor(s):: Jonathan Hahn, Kaitlin Hill
Discussion of Chapter 2.4 - 2.6 of Piecewise-smooth Dynamical Systems by di Bernardo, Budd, Champneys, and Kowalczyk. Topics include structural stability, types of discontinuity-induced bifurcation, discontinuity mappings, and numerical methods for simulating nonsmooth systems.
Unstable equilibria in complex models
17 Sep 2015 | | Contributor(s):: Jan Sieber
Powerpoint Intro to Potential Analysis
16 Sep 2015 | | Contributor(s):: Darren Anthony Marotta
A technique to detect the number of states in a geophysical system attained from recorded time series. Potential Analysis estimates the degree of a polynomial, which determines the number of states in the time series. Changes in the number of states represent bifurcations of the system.
A broadly applicable method for the identification of bifurcations in complex, multi-parameter dynamical systems
16 Jun 2015 | | Contributor(s):: Daniel K Wells, Adilson Motter, William L Kath
Traditional numerical bifurcation methods seek to identify and classify solutions in systems with small numbers of parameters. These methods have become canonical tools in determining how solutions of dynamical systems depend upon parameters. Of particular interest are bifurcation points, which...