| Records |
| Author |
Goles, E.; Montalva-Medel, M.; Montealegre, P.; Rios-Wilson, M. |
| Title |
On the complexity of generalized Q2R automaton |
Type |
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| Year |
2022 |
Publication |
Advances In Applied Mathematics |
Abbreviated Journal |
Adv. Appl. Math. |
| Volume |
138 |
Issue |
|
Pages |
102355 |
| Keywords |
Q2R networks; Computational complexity; Limit cycles; P-complete |
| Abstract |
We study the dynamic and complexity of the generalized Q2R automaton. We show the existence of non-polynomial cycles as well as its capability to simulate with the synchronous update the classical version of the automaton updated under a block sequential update scheme. Furthermore, we show that the decision problem consisting in determine if a given node in the network changes its state is P-Hard. |
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| Language |
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Original Title |
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| Series Editor |
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Series Title |
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Abbreviated Series Title |
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| Series Volume |
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Series Issue |
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Edition |
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| ISSN |
0196-8858 |
ISBN |
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Medium |
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Expedition |
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Conference |
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| Notes |
WOS:000830087300008 |
Approved |
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| Call Number |
UAI @ alexi.delcanto @ |
Serial |
1610 |
| Permanent link to this record |
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| Author |
Goles, E.; Montealegre, P.; Vera, J. |
| Title |
Naming Game Automata Networks |
Type |
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| Year |
2016 |
Publication |
Journal Of Cellular Automata |
Abbreviated Journal |
J. Cell. Autom. |
| Volume |
11 |
Issue |
5-6 |
Pages |
497-521 |
| Keywords |
Automata networks; cellular automata; majority functions; energy operator; naming game; fixed points; limit cycles |
| Abstract |
In this paper we introduce automata networks to model some features of the emergence of a vocabulary related with the naming game model. We study the dynamical behaviour (attractors and convergence) of extremal and majority local functions. |
| Address |
[Goles, Eric; Vera, Javier] Univ Adolfo Ibanez, Fac Ingn & Ciencias, Avda Diagonal Las Torres 2640, Santiago, Chile, Email: eric.chacc@uai.cl; |
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Thesis |
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| Publisher |
Old City Publishing Inc |
Place of Publication |
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Editor |
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| Language |
English |
Summary Language |
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Original Title |
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Series Issue |
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Edition |
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| ISSN |
1557-5969 |
ISBN |
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Medium |
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Conference |
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| Notes |
WOS:000382426500007 |
Approved |
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| Call Number |
UAI @ eduardo.moreno @ |
Serial |
649 |
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| Author |
Vera-Damian, Y.; Vidal, C.; Gonzalez-Olivares, E. |
| Title |
Dynamics and bifurcations of a modified Leslie-Gower-type model considering a Beddington-DeAngelis functional response |
Type |
|
| Year |
2019 |
Publication |
Mathematical Methods In The Applied Sciences |
Abbreviated Journal |
Math. Meth. Appl. Sci. |
| Volume |
42 |
Issue |
9 |
Pages |
3179-3210 |
| Keywords |
Beddington-DeAngelis functional response; Bogdanov-Takens bifurcation; homoclinic bifurcation; Hopf bifurcation; limit cycles; predator-prey model; stability |
| Abstract |
In this paper, a planar system of ordinary differential equations is considered, which is a modified Leslie-Gower model, considering a Beddington-DeAngelis functional response. It generates a complex dynamics of the predator-prey interactions according to the associated parameters. From the system obtained, we characterize all the equilibria and its local behavior, and the existence of a trapping set is proved. We describe different types of bifurcations (such as Hopf, Bogdanov-Takens, and homoclinic bifurcation), and the existence of limit cycles is shown. Analytic proofs are provided for all results. Ecological implications and a set of numerical simulations supporting the mathematical results are also presented. |
| Address |
[Vera-Damian, Yrina] Univ Adolfo Ibanez, Fac Ingn & Ciencias, Santiago, Chile, Email: edvera@alumnos.uai.cl |
| Corporate Author |
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Thesis |
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| Publisher |
Wiley |
Place of Publication |
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Editor |
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| Language |
English |
Summary Language |
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Original Title |
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| Series Editor |
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Series Title |
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Abbreviated Series Title |
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Series Issue |
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Edition |
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| ISSN |
0170-4214 |
ISBN |
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Medium |
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Expedition |
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Conference |
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| Notes |
WOS:000467275100016 |
Approved |
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| Call Number |
UAI @ eduardo.moreno @ |
Serial |
998 |
| Permanent link to this record |
