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

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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.

Original language	Undefined/Unknown
Pages (from-to)	557–578
Journal	Match: Communications in Mathematical and in Computer Chemistry
Volume	81
Issue number	3
Publication status	Published - 2019
MoE publication type	A1 Journal article-refereed

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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. (Principal Investigator)
01/09/17 → 31/08/21
Project: Research Council of Finland/Other Research Councils

Cite this

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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.",

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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.

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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

Abstract

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Projects

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

Cite this