Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Henryk Żoła̧dek"'
Autor:
Henryk Żoła̧dek
Publikováno v:
Communications in Analysis and Mechanics, Vol 16, Iss 2, Pp 431-447 (2024)
We present an example of a three-degrees-of-freedom polynomial Hamilton function with a critical point characterized by indefinite quadratic part with a Morse index 2. This function generates a Hamiltonian system wherein all eigenvalues equal $ \pm \
Externí odkaz:
https://doaj.org/article/fc56458c8af741aba5bff8d3c6b77916
Autor:
Henryk Żoładek
Publikováno v:
Journal of Geometry and Physics. 142:121-136
The Lagrange case in the rigid body dynamics is completely integrable, with a family of invariant tori supporting periodic or quasi-periodic motion. We study perturbations of this case. In the non-periodic case the KAM theory predicts no changes in t
Autor:
Henryk Zoladek, Raul Murillo
The Qualitative Theory of Ordinary Differential Equations (ODEs) occupies a rather special position both in Applied and Theoretical Mathematics. On the one hand, it is a continuation of the standard course on ODEs. On the other hand, it is an introdu
With a balanced combination of longer survey articles and shorter, peer-reviewed research-level presentations on the topic of differential and difference equations on the complex domain, this edited volume presents an up-to-date overview of areas suc
Autor:
Henryk Żoładek
Publikováno v:
Springer Proceedings in Mathematics & Statistics ISBN: 9783319313214
Mathematical Sciences with Multidisciplinary Applications. In Honor of Professor Christiane Rousseau. And in recognition of the Mathematics for Planet Earth Initiative
Mathematical Sciences with Multidisciplinary Applications. In Honor of Professor Christiane Rousseau. And in recognition of the Mathematics for Planet Earth Initiative
In Żoladek (Nonlinearity 8:843–860, 1995) the existence of 11 small amplitude limit cycles in a perturbation of some special cubic plane vector field with center was demonstrated. Here we present a new and corrected proof of that result.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a761da9203e743d157e6532aa76e1b0a
https://doi.org/10.1007/978-3-319-31323-8_23
https://doi.org/10.1007/978-3-319-31323-8_23
Autor:
Ewa Stróżyna, Henryk Żoładek
Publikováno v:
Nonlinearity. 24:3129-3141
In Strozyna and Żoladek (2008 Bull. Belgian Math. Soc. Simon Stevin 15 927–34) a generalization of the Takens normal form for a nilpotent singularity of a vector field in was obtained. Here we present an example where the corresponding normalizing
Autor:
Paweł Lubowiecki, Henryk Żoładek
Publikováno v:
International Journal of Bifurcation and Chaos. 20:1221-1231
We complete the description of bifurcations for the deformation X0 + ε1x(x - x*)∂x + ε2xz∂x of the Lotka–Volterra vector field X0 = x(y + 2z +15u/2)∂x + y(x - 2z - 7u/2)∂y - z(x + y + 4u)∂z, u = x + y + z - 1, which was initiated in [Go
Autor:
Jaume Llibre, Henryk Żoładek
Publikováno v:
Journal of Dynamical and Control Systems. 14:505-535
We present two examples of real planar polynomial vector fields with an orbitally linearizable saddle point such that they are neither rationally reversible nor Liouvillian integrable. We show that vector fields from one of these examples form an iso
Autor:
Marcin Bobieński, Henryk Żoładek
Publikováno v:
Journal of Dynamical and Control Systems. 9:265-310
We consider polynomial vector fields of the form \.{x} = 2_y + zR(x,y), \.{y} = 3x^2 - 3 + zS(x,y), \.{z} = A_x,y)z, z \epsilon \Ropf^v, and their polynomial perturbations of degree ln. We present a sufficient condition that the perturbed system has