Chemical Reaction Networks Associated with the Hilbert's 16th Problem: Limit Cycles and Stability Analysis

Gefry Barad; Eugen Czeizler; Andrei Păun

Chemical Reaction Networks Associated with the Hilbert's 16th Problem: Limit Cycles and Stability Analysis

Gefry Barad
, Eugen Czeizler
, Andrei Păun

Lösningar för hälsa

Forskningsoutput: Tidskriftsbidrag › Artikel › Vetenskaplig › Peer review

Sammanfattning

We give examples of 2-parameter bounded quadratic dynamical systems with 3 finite singularities, which have at least 4 limit cycles around a singularity (in the (4, 0)-configuration)-the first example of this type-and in a (3, 1)-configuration. The paper mentions the Nanobiotechnological origins of these experimentally discovered systems with interesting properties.

Originalspråk	Odefinierat/okänt
Sidor (från-till)	557–578
Tidskrift	Match: Communications in Mathematical and in Computer Chemistry
Volym	81
Nummer	3
Status	Publicerad - 2019
MoE-publikationstyp	A1 Tidskriftsartikel-refererad

Åtkomst av dokument

http://match.pmf.kg.ac.rs/electronic_versions/Match81/n3/match81n3_557-578.pdf

AlgoNano: Algorithmic Nanotechnology: Modeling, Design and Automation of Synthetic Self-Assembly Systems (AlgoNano) (Academy of Finland)
Czeizler, E. (Ansvarig forskare)
01/09/17 → 31/08/21
Projekt: Finlands Akademi/Övriga Forskningsråd

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title = "Chemical Reaction Networks Associated with the Hilbert's 16th Problem: Limit Cycles and Stability Analysis",

abstract = "We give examples of 2-parameter bounded quadratic dynamical systems with 3 finite singularities, which have at least 4 limit cycles around a singularity (in the (4, 0)-configuration)-the first example of this type-and in a (3, 1)-configuration. The paper mentions the Nanobiotechnological origins of these experimentally discovered systems with interesting properties.",

author = "Gefry Barad and Eugen Czeizler and Andrei P{\u a}un",

year = "2019",

language = "Odefinierat/ok{\"a}nt",

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journal = "Match: Communications in Mathematical and in Computer Chemistry",

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T1 - Chemical Reaction Networks Associated with the Hilbert's 16th Problem

T2 - Limit Cycles and Stability Analysis

AU - Barad, Gefry

AU - Czeizler, Eugen

AU - Păun, Andrei

PY - 2019

Y1 - 2019

N2 - We give examples of 2-parameter bounded quadratic dynamical systems with 3 finite singularities, which have at least 4 limit cycles around a singularity (in the (4, 0)-configuration)-the first example of this type-and in a (3, 1)-configuration. The paper mentions the Nanobiotechnological origins of these experimentally discovered systems with interesting properties.

AB - We give examples of 2-parameter bounded quadratic dynamical systems with 3 finite singularities, which have at least 4 limit cycles around a singularity (in the (4, 0)-configuration)-the first example of this type-and in a (3, 1)-configuration. The paper mentions the Nanobiotechnological origins of these experimentally discovered systems with interesting properties.

M3 - Artikel

SN - 0340-6253

VL - 81

SP - 557

EP - 578

JO - Match: Communications in Mathematical and in Computer Chemistry

JF - Match: Communications in Mathematical and in Computer Chemistry

IS - 3

ER -

Chemical Reaction Networks Associated with the Hilbert's 16th Problem: Limit Cycles and Stability Analysis

Sammanfattning

Åtkomst av dokument

Projekt

AlgoNano: Algorithmic Nanotechnology: Modeling, Design and Automation of Synthetic Self-Assembly Systems (AlgoNano) (Academy of Finland)

Citera det här