Zobrazeno 1 - 10
of 137
pro vyhledávání: '"Mañosa, Víctor"'
We consider the family of piecewise linear maps $$F_{a,b}(x,y)=\left(|x| - y + a, x - |y| + b\right),$$ where $(a,b)\in \mathbb{R}^2$. This family belongs to a wider one that has deserved some interest in the recent years as it provides a framework f
Externí odkaz:
http://arxiv.org/abs/2410.01052
Autor:
Mañosa, Víctor, Pantazi, Chara
In this work we investigate the set of cubic Hamiltonian vector fields for which their associated Kahan-Hirota-Kimura maps preserve the original Hamiltonian function. We analyze these fields in $\mathbb{R}^2$ and $\mathbb{R}^4$. We also study a famil
Externí odkaz:
http://arxiv.org/abs/2405.01321
We study the dynamics of the piecewise planar rotations $F_{\lambda}(z)=\lambda (z-H(z)), $ with $z\in\C$, $H(z)=1$ if $\mathrm{Im}(z)\ge0,$ $H(z)=-1$ if $\mathrm{Im}(z)<0,$ and $\lambda=\mathrm{e}^{i \alpha} \in\C$, being $\alpha$ a rational multipl
Externí odkaz:
http://arxiv.org/abs/2306.17543
In this paper, we are interested in analyzing the dynamics of the fourth-order difference equation $x_{n+4} = \max\{x_{n+3},x_{n+2},x_{n+1},0\}-x_n$, with arbitrary real initial conditions. We fully determine the accumulation point sets of the non-pe
Externí odkaz:
http://arxiv.org/abs/2306.12061
Publikováno v:
Journal of Differential Equations 293, 25 (2021), 48-69
It is well known that the existence of traveling wave solutions (TWS) for many partial differential equations (PDE) is a consequence of the fact that an associated planar ordinary differential equation (ODE) has certain types of solutions defined for
Externí odkaz:
http://arxiv.org/abs/2103.05382
Publikováno v:
Commun Nonlinear Sci Numer Simulat 108 (2022) 106150 (26 pages)
We describe the global dynamics of some pointwise periodic piecewise linear maps in the plane that exhibit interesting dynamic features. For each of these maps we find a first integral. For these integrals the set of values are discrete, thus quantiz
Externí odkaz:
http://arxiv.org/abs/2010.12901
Publikováno v:
Nonlinear Dyn 102 (2020), 1033-1043
We show that planar continuous alternating systems, which can be used to model systems with seasonality, can exhibit a type of Parrondo's dynamic paradox, in which the stability of an equilibrium, common to all seasons is reversed for the global seas
Externí odkaz:
http://arxiv.org/abs/1911.12245
Publikováno v:
Qual. Theory Dyn. Syst. 20, 3 (2021)
We study the phase portraits with positive probability of random planar homogeneous vector fields of degree n. In particular, for n=1,2,3, we give a complete solution of the problem and, moreover, either we give the exact value of each probability or
Externí odkaz:
http://arxiv.org/abs/1911.11441
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations 15 (2021), 1-27
Given a homogeneous linear discrete or continuous dynamical system, its stability index is given by the dimension of the stable manifold of the zero solution. In particular, for the $n$ dimensional case, the zero solution is globally asymptotically s
Externí odkaz:
http://arxiv.org/abs/1904.05725
Publikováno v:
Applied Mathematical Modelling 77 (2020), 1679-1690
Hysteresis is a special type of behavior encountered in physical systems: in a hysteretic system, when the input is periodic and varies slowly, the steady-state part of the output-versus-input graph becomes a loop called hysteresis loop. In the prese
Externí odkaz:
http://arxiv.org/abs/1812.00175