Bifurcation structure of traveling pulses in type-I excitable media
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F22%3A00569989" target="_blank" >RIV/67985807:_____/22:00569989 - isvavai.cz</a>
Result on the web
<a href="https://dx.doi.org/10.1103/PhysRevE.106.034206" target="_blank" >https://dx.doi.org/10.1103/PhysRevE.106.034206</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevE.106.034206" target="_blank" >10.1103/PhysRevE.106.034206</a>
Alternative languages
Result language
angličtina
Original language name
Bifurcation structure of traveling pulses in type-I excitable media
Original language description
We study the scenario in which traveling pulses emerge in a prototypical type-I one-dimensional excitable medium, which exhibits two different routes to excitable behavior, mediated by a homoclinic (saddle-loop) and a saddle-node on the invariant cycle bifurcations. We characterize the region in parameter space in which traveling pulses are stable together with the different bifurcations behind either their destruction or loss of stability. In particular, some of the bifurcations delimiting the stability region have been connected, using singular limits, with the two different scenarios that mediated type-I local excitability. Finally, the existence of traveling pulses has been linked to a drift pitchfork instability of localized steady structures
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Result continuities
Project
<a href="/en/project/GA19-16066S" target="_blank" >GA19-16066S: Nonlinear interactions and information transfer in complex systems with extreme events</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physical Review E
ISSN
2470-0045
e-ISSN
2470-0053
Volume of the periodical
106
Issue of the periodical within the volume
3
Country of publishing house
US - UNITED STATES
Number of pages
15
Pages from-to
034206
UT code for WoS article
000934163900004
EID of the result in the Scopus database
2-s2.0-85139595308