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**From**: StatFizSzeminar <statfiz AT glu.elte.hu>**To**: fizinfo AT lists.kfki.hu**Subject**: [Fizinfo] Stat Fiz Szeminarium**Date**: Sun, 22 Sep 2019 15:32:51 +0200

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ELTE TTK Fizikai Intézet

STATISZTIKUS FIZIKAI SZEMINÁRIUM

2019. szeptember 25.

szerda

11.00

Ulrike Feudel

Carl von Ossietzky University

"Transient chaos in networked systems:

Desynchronization and state-dependent

vulnerability"

We analyze the final state sensitivity of

nonlocal networks of Duffing oscillators

with respect to the initial conditions of

their units. By changing the initial

conditions of a single network unit, we

perturb an initially synchronized state,

which is the only attractor for a single

unit. Depending on the perturbation strength,

we observe the existence of two possible

network long-term states: (i) The network

neutralizes the perturbation effects and

returns to its synchronized configuration.

(ii) The perturbation leads the network to

an alternative desynchronized state. By

computing uncertainty exponents of a two-

dimensional cross section of the state space,

we find the existence of a fractal set of

initial conditions converging to this d

esynchronized solution, which appears to be

either a new attractor or a chaotic saddle,

i.e. an unstable chaotic set on which

trajectories persist for extremely long times.

Furthermore, we report the existence of an

intricate time dependence of the vulnerability

of the synchronized states in a network composed

of identical electronic circuits. By perturbing

the synchronized dynamics in consecutive

instants of time, we find that synchronization

breaks down for some time instants while it

persists for others. The mechanism behind this

intriguing phenomenon is again the existence

of an unstable chaotic set close to the s

ynchronized trajectory. Both phenomena

highlight the crucial role played by unstable

chaotic set leading to transient chaotic

dynamics in networked systems. We discuss

that these phenomena are generic for large

classes of nonlinear dynamical systems.

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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