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...
Midwest Mathematics and Climate Conference - Day 2 Afternoon Session
12 May 2015 | | Contributor(s):: Colin James Grudzien
Charles Jackson, University of Texas, AustinDual-state Behavior of the Community Climate System ModelIce age climate between 80,000 and 11,000 years ago experienced abrupt (< 10 year) global-scale climate transitions every few thousand years. Evidence and theory suggests such behavior may be...
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...
New averaging results motivated by climate models: fat tails, oscillations, and tipping
10 Dec 2015 | | Contributor(s):: Rachel Kuske
We review recent results where new averaging approaches are developed and applied in the context of systems with multiple time scales and fat tails and in non-autonomous multiple scale systems with oscillatory forcing. These types of systems appear in a variety of higher dimensional...
The Force of Noise - A Dynamical Systems Picture of Switching
17 Sep 2015 | | Contributor(s):: Ira Schwartz
Tipping points and power cuts
18 Jun 2015 | | Contributor(s):: Chris Budd
Unstable equilibria in complex models
17 Sep 2015 | | Contributor(s):: Jan Sieber
Vegetation patterns in mathematical models, and vegetation patterns in Horn of Africa
21 Apr 2016 | | Contributor(s):: Mary Silber, Karna Gowda
Visually striking large-scale spatial patterns of vegetation have been observed in semi-arid regions in the Americas, Africa and Australia. These have led to suggestions by theoretical ecologists that certain characteristics of the patterns may serve as early-warning signs of desertification....
Who, or what, will tip the big climate models?
18 Jun 2015 | | Contributor(s):: Christopher KRT Jones