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Articles, 13 records found
Articles 13 records found  1 - 10next  jump to record:
1.
1 p, 379.8 KB Author Correction : Engineering self-organized criticality in living cells / Vidiella, Blai (Institut de Biologia Evolutiva (Barcelona)) ; Guillamon, Antoni (Centre de Recerca Matemàtica) ; Sardanyés, Josep (Centre de Recerca Matemàtica) ; Maull, Victor (Institut de Biologia Evolutiva (Barcelona)) ; Pla, Jordi (Institut de Biologia Evolutiva (Barcelona)) ; Conde-Pueyo, Nuria (Institut de Biologia Evolutiva (Barcelona)) ; Solé, Ricard (Santa Fe Institute)
2021 - 10.1038/s41467-021-25603-6
Nature communications, Vol. 12 (September 2021) , art. 5699  
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2.
79 p, 1.0 MB The criticality of reversible quadratic centers at the outer boundary of its period annulus / Marín Pérez, David (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Villadelprat Yagüe, Jordi (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques) ; Centre de Recerca Matemàtica
This paper deals with the period function of the reversible quadratic centers where . Compactifying the vector field to , the boundary of the period annulus has two connected components, the center itself and a polycycle. [...]
2022 - 10.1016/j.jde.2022.05.026
Journal of differential equations, Vol. 332 (Sep. 2022) , p. 123-201  
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3.
29 p, 980.9 KB New lower bounds of the number of critical periods in reversible centers / Sanchez Sanchez, Ivan (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this paper we aim to find the highest number of critical periods in a class of planar systems of polynomial differential equations for fixed degree having a center. We fix our attention to lower bounds of local criticality for low degree planar polynomial centers. [...]
2021 - 10.1016/j.jde.2021.05.013
Journal of differential equations, Vol. 292 (August 2021) , p. 427-460  
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4.
10 p, 2.4 MB Engineering self-organized criticality in living cells / Vidiella, Blai (Institut de Biologia Evolutiva (Barcelona)) ; Guillamon, Antoni (Centre de Recerca Matemàtica) ; Sardanyés, Josep (Centre de Recerca Matemàtica) ; Maull, Victor (Institut de Biologia Evolutiva (Barcelona)) ; Pla, Jordi (Institut de Biologia Evolutiva (Barcelona)) ; Conde-Pueyo, Nuria (Institut de Biologia Evolutiva (Barcelona)) ; Solé, Ricard (Santa Fe Institute)
Complex dynamical fluctuations, from intracellular noise, brain dynamics or computer traffic display bursting dynamics consistent with a critical state between order and disorder. Living close to the critical point has adaptive advantages and it has been conjectured that evolution could select these critical states. [...]
2021 - 10.1038/s41467-021-24695-4
Nature communications, Vol. 12 (July 2021) , art. 4415  
Detailed record - Creative Commons
5.
38 p, 790.4 KB Asymptotic expansion of the Dulac map and time for unfoldings of hyperbolic saddles : General setting / Marín Pérez, David (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Villadelprat Yagüe, Jordi (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques)
Given a C∞ family of planar vector fields{Xˆ µ}ˆ µ∈ ˆ W having a hyperbolic saddle, we study the Dulac map D(s; ˆ µ) and the Dulac time T(s; ˆ µ) between two transverse sections located in these paratrices at arbitrary distance from the saddle. [...]
2021 - 10.1016/j.jde.2020.11.020
Journal of differential equations, Vol. 275 (February 2021) , p. 684-732  
Detailed record - Creative Commons
6.
22 p, 352.2 KB Criticality via first order development of the period constants / Sánchez-Sánchez, Iván (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this work we study the criticality of some planar systems of polynomial differential equations having a center for various low degrees n. To this end, we present a method which is equivalent to the use of the first non-identically zero Melnikov function in the problem of limit cycles bifurcation, but adapted to the period function. [...]
2021 - 10.1016/j.na.2020.112164
Nonlinear Analysis : Theory, Methods and Applications, Vol. 203 (February 2021) , art. 112164  
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7.
9 p, 634.4 KB A note on the Lyapunov and period constants / Cimà, Anna (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Mañosas Capellades, Francesc (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
It is well known that the number of small amplitude limit cycles that can bifurcate from the origin of a weak focus or a non degenerated center for a family of planar polynomial vector fields is governed by the structure of the so called Lyapunov constants, that are polynomials in the parameters of the system. [...]
2020 - 10.1007/s12346-020-00375-4
Qualitative theory of dynamical systems, Vol. 19, Issue 1 (April 2020) , art. 44  
Detailed record -
8.
23 p, 530.2 KB On the upper bound of the criticality of potential systems at the outer boundary using the Roussarie-Ecalle compensator / Rojas, David (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
This paper is concerned with the study of the criticality of families of planar centers. More precisely, we study sufficient conditions to bound the number of critical periodic orbits that bifurcate from the outer boundary of the period annulus of potential centers. [...]
2019 - 10.1016/j.jde.2019.04.021
Journal of differential equations, Vol. 267, Issue 6 (September 2019) , p. 3922-3951  
Detailed record - Creative Commons
9.
34 p, 632.0 KB Asymptotic Development of an Integral Operator and Boundedness of the Criticality of Potential Centers / Rojas, David (Universitat de Girona. Departament d'Informàtica, Matemàtica Aplicada i Estadística)
We study the asymptotic development at infinity of an integral operator. We use this development to give sufficient conditions to upper bound the number of critical periodic orbits that bifurcate from the outer boundary of the period function of planar potential centers. [...]
2019 - 10.1007/s10884-019-09753-2
Journal of dynamics and differential equations, Vol. 32, Issue 2 (June 2020) , p. 665-704  
Detailed record -
10.
15 p, 468.0 KB A criticality result for polycycles in a family of quadratic reversible centers / Rojas, David (Universidad de Granada. Departamento de Matemática Aplicada) ; Villadelprat Yagüe, Jordi (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques)
We consider the family of dehomogenized Loud's centers Xµ_=y(x-1)∂ₓ + (x + Dx² + Fy²)_y, where µ=(D,F)єR², and we study the number of critical periodic orbits that emerge or dissapear from the polycycle at the boundary of the period annulus. [...]
2018 - 10.1016/j.jde.2018.01.042
Journal of differential equations, Vol. 264, issue 11 (June 2018) , p. 6585-6602  
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