Zobrazeno 1 - 10
of 156
pro vyhledávání: '"Torregrosa, Joan"'
We consider piecewise quadratic perturbations of centers of piecewise quadratic systems in two zones determined by a straight line through the origin. By means of expansions of the displacement map, we are able to find isolated zeros of it, without d
Externí odkaz:
http://arxiv.org/abs/2312.05847
We study local analytical integrability in a neighborhood of $p:-q$ resonant singular point of a two-dimensional vector field and its connection to time-reversibility with respect to the non-smooth involution $ \varphi(x,y)=(y^{p/q},x^{q/p}). $ Some
Externí odkaz:
http://arxiv.org/abs/2211.12411
We solve the center-focus problem in a class of piecewise quadratic polynomial differential systems with an invariant straight line. The separation curve is also a straight line which is not invariant. We provide families having at the origin a weak-
Externí odkaz:
http://arxiv.org/abs/2204.00085
Publikováno v:
In Nonlinear Analysis: Real World Applications October 2024 79
Publikováno v:
In Journal of Differential Equations 25 January 2024 380:181-197
Planar piecewise linear systems with two linearity zones separated by a straight line and with a periodic orbit at infinity are considered. By using some changes of variables and parameters, a reduced canonical form with five parameters is obtained.
Externí odkaz:
http://arxiv.org/abs/2010.03018
Publikováno v:
J. Differential Equation 266 (7), 4170-4203, 2019
We study the number of limit cycles bifurcating from a piecewise quadratic system. All the differential systems considered are piecewise in two zones separated by a straight line. We prove the existence of 16 crossing limit cycles in this class of sy
Externí odkaz:
http://arxiv.org/abs/1809.03433
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 October 2022 514(1)
Publikováno v:
In Journal of Differential Equations 5 February 2022 309:291-310
Publikováno v:
In Communications in Nonlinear Science and Numerical Simulation February 2022 105