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**From**: StatFizSzeminar <statfiz AT glu.elte.hu>**To**: fizinfo AT lists.kfki.hu**Subject**: [Fizinfo] Stat Fiz Szeminarium**Date**: Mon, 30 Sep 2019 12:32:24 +0200

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ELTE TTK Fizikai Intézet

STATISZTIKUS FIZIKAI SZEMINÁRIUM

2019. október 2.

szerda

11.00

Ulrike Feudel

Carl von Ossietzky University

"Tipping phenomena and resilience:

two sides of the same coin?"

Many systems in nature are characterized by

the coexistence of different stable states

for a given set of environmental parameters

and external forcing. Examples for such

behavior can be found in different fields of

science ranging from mechanical or chemical

systems to ecosystem and climate dynamics.

As a consequence of the coexistence of a

multitude of stable states, the final state

of the system depends strongly on the initial

condition. Perturbations, applied to those

natural systems can lead to a critical

transition from one stable state to another.

Such critical transitions are called tipping

phenomena in climate science, regime shifts

in ecology or phase transitions in physics.

Such critical transitions can happen in

various ways: (1) due to bifurcations, i.e.

changes in the dynamics when external forcing

or parameters are varied extremely slow (2)

due to fluctuations which are always inevitable

in natural systems, (3) due to rate-induced

transitions, i.e. when external forcing changes

on characteristic time scale comparable to the

time scale of the considered dynamical system

and (4) due to shocks or extreme events. We

discuss these critical transitions and their

characteristics and illustrate them with

examples from natural systems. Moreover, we

discuss the concept of resilience, which has

been originally introduced by C.S. Holling in

ecology, and formulate it in terms of dynamical

systems theory. This formulation offers

mathematical and numerical tools to use it as

a measure of the persistence of a function of

a dynamical system.

1117, Budapest, Pázmány P. sétány 1/A, Északi tömb 2.54

honlap: http://glu.elte.hu/~statfiz

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**[Fizinfo] Stat Fiz Szeminarium**,*StatFizSzeminar, 09/22/2019*- <Possible follow-up(s)>
**[Fizinfo] Stat Fiz Szeminarium**,*StatFizSzeminar, 09/30/2019*

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