ICTS:30277

Video URL

Snapshot attractors – a tool to study non-autonomous dynamics

Snapshot attractors – a tool to study non-autonomous dynamics

(2024). Snapshot attractors – a tool to study non-autonomous dynamics. SciVideos. https://youtube.com/live/NRZLRiii358

Snapshot attractors – a tool to study non-autonomous dynamics. SciVideos, Nov. 14, 2024, https://youtube.com/live/NRZLRiii358 

          @misc{ scivideos_ICTS:30277,
            doi = {},
            url = {https://youtube.com/live/NRZLRiii358},
            author = {},
            keywords = {},
            language = {en},
            title = {Snapshot attractors {\textendash} a tool to study non-autonomous dynamics},
            publisher = {},
            year = {2024},
            month = {nov},
            note = {ICTS:30277 see, \url{https://scivideos.org/icts-tifr/30277}}
          }
Ulrike Feudel
Talk numberICTS:30277
Source RepositoryICTS-TIFR
Source EventClimate Dynamics and Networks
Collection

Abstract

Climate change is often related to the temporal variation of external driving forces, following a certain arbitrary trend. This poses difficulties to the analysis of complex dynamical systems under the impact of climate change, since all the analysis tools of nonlinear dynamics work only for autonomous systems or systems with periodic driving. To study the impact of climate change characterized by arbitrary time- dependence requires new methods to still use ideas of attractors, basins of attraction and bifurcations in the non-autonomous case. We discuss approaches which allow to study non-autonomous systems in the spirit of nonlinear dynamics: snapshot/pullback attractors, non-autonomous basins of attractions and bifurcations in non-autonomous systems like rate-induced transitions and basin boundary crossings. We use simple conceptual models of climate and ecosystem dynamics to illustrate these concepts.