Publications

Henryk Żołądek

Number of publications: 73

2024

• Henryk Żołądek , An example in Hamiltonian dynamics, Communications in Analysis and Mechanics, 16 (2) 2024, p. 431-447. See in PBN

2023

• Henryk Żołądek , Normal forms, invariant manifolds and Lyapunov theorems, Communications in Analysis and Mechanics, 15 (2) 2023, p. 300-341. See in PBN

2022

• Henryk Żołądek , Raul Murillo, Qualitative Theory of ODEs: An Introduction to Dynamical Systems Theory, 2022. See in PBN

2021

• Ewa Stróżyna, Henryk Żołądek , Analytic properties of the complete formal normal form for the Bogdanov–Takens singularity, Nonlinearity, 34 (5) 2021, p. 3046-3082. See in PBN
• Adam Ligęza, Henryk Żołądek , Qualitative Analysis of Some Libration Points in the Restricted Four-body Problem, Russian Journal of Nonlinear Dynamics, 17 (4) 2021, p. 369-390. See in PBN

2020

• Alberto Lastra, Sławomir Michalik, Yoshitsugu Takei, Galina Filipuk , Henryk Żołądek , Complex Differential and Difference Equations: Proceedings of the School and Conference held at Będlewo, Poland, September 2-15, 2018, 2020. See in PBN
• Ron Donagi, Tony Shaska, Henryk Żołądek , Integrable Systems and Algebraic Geometry, 1 2020. See in PBN

2019

• Henryk Żołądek , Perturbations of the Hess-Appelrot and Lagrange cases in the rigid body dynamics, Journal of Geometry and Physics, 142 2019, p. 121-136. See in PBN

2018

• Stefan Czekalski, Henryk Żołądek , First order linear differential equations with involutive delay and hypergeometric functions, Topological Methods in Nonlinear Analysis, 52 (1) 2018, p. 11-29. See in PBN
• Radosław Kurek, Paweł Lubowiecki, Henryk Żołądek , The Hess-Appelrot system. III. Splitting of separatrices and chaos, Discrete and Continuous Dynamical Systems - Series B, 38 (4) 2018, p. 1955-1981. See in PBN
• Henryk Żołądek , The Poncelet Theorems in Interpretation of Rafał Kołodziej, Geometric Methods in Physics XXXV Workshop and Summer School, Białowieża, Poland, 26 June 2016 - 2 July 2016. See in PBN

2016

• Henryk Żołądek , The CD45 case revisited, 2016. See in PBN

2015

• Henryk Żołądek , Melnikov functions in quadratic perturbations of generalized Lotka-Volterra systems, Journal of Dynamical and Control Systems, 2015. See in PBN
• Galina Filipuk , Henryk Żołądek , Painleve equations, elliptic integrals and elementary functions, Journal of Differential Equations, 258 2015, p. 1303-1355. See in PBN
• Henryk Żołądek , Ewa Stróżyna, The complete formal normal form for the Bogdanov-Takens singularity, Moscow Mathematical Journal, 15 (1) 2015, p. 141-178. See in PBN

2013

• Weronika Barwicz, Mateusz Wiliński, Henryk Żołądek , Birkhoff normalization, bifurcations of Hamiltonian systems and the Deprits formula, Journal of Fixed Point Theory and Applications, 2013. See in PBN
• Michał Zakrzewski, Henryk Żołądek , Multiple zeta values and the WKB method, 2013. See in PBN
• Beata Medak, Alexey Tretiyakov, Henryk Żołądek , Solutions to some nonlinear boundary value problems, Topological Methods in Nonlinear Analysis, 41 (2) 2013, p. 255-265. See in PBN
• Henryk Żołądek , Twierdzenia Ponceleta w interpretacji Rafala Kolodzieja, Roczniki Polskiego Towarzystwa Matematycznego. Seria 2: Wiadomości Matematyczne, 49 (2) 2013, p. 29-45. See in PBN
• Henryk Żołądek , Z zalobnej karty. Rafal Kolodziej, Roczniki Polskiego Towarzystwa Matematycznego. Seria 2: Wiadomości Matematyczne, 49 (2) 2013, p. 111 - 115. See in PBN

2012

• Michał Zakrzewski, Henryk Żołądek , Linear differential equations and multiple zeta-values. III. Zeta(3), Journal of Mathematical Physics, 2012. See in PBN
• Jacek Chądzyński, Zbigniew Jelonek, Tadeusz Krasiński, Wojciech Kucharz, Krzysztof Kurdyka, Andrzej Nowicki, Adam Parusiński, Arkadiusz Płoski, Kamil Rusek, Stanisław Spodzieja, Piotr Tworzewski, Tadeusz Winiarski, Henryk Żołądek , Materiały na XXXIII Konferencję i Warsztaty z Geometrii Analitycznej i Algebraicznej, 2012. See in PBN
• Paweł Lubowiecki, Henryk Żołądek , The Hess-Appelrot system. I. Invariant tours and its normal hyperbolicity, Journal of Geometric Mechanics, 2012. See in PBN

2011

• Henryk Żołądek , A simple proof of the non-integrability of the first and the second Painleve equations, BANACH CENTER PUBLICATIONS, 2011. See in PBN
• Ewa Stróżyna, Henryk Żołądek , Divergence of the reduction to the multidimensional Takens normal form, Nonlinearity, 2011. See in PBN
• Henryk Żołądek , Jakościowa Teoria Równań różniczkowych Zwyczajnych, 2011. See in PBN
• Michał Zakrzewski, Henryk Żołądek , Linear differential equations and multiple zeta values. II. A generalization of the WKB method, Journal of Mathematical Analysis and Applications, 2011. See in PBN
• Maciej Borodzik , Henryk Żołądek , Number of singular points of an annulus in C^2, Annales de l'Institut Fourier, 2011. See in PBN
• Paweł Lubowiecki, Henryk Żołądek , The Hess-Appelrot system. II. Perturbation and limit cycles. S.-N. Chow (eds.), Journal of Differential Equations, 2011. See in PBN

2010

• Maciej Borodzik , Henryk Żołądek , Complex algebraic plane curves via Poincare-Hopf formula. II Annuli, Israel Journal of Mathematics, 2010. See in PBN
• Paweł Lubowiecki, Henryk Żołądek , Invariant torus in 3D Lotka-Volterra systems. The nondegeneracy condition, International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2010. See in PBN
• Michał Zakrzewski, Henryk Żołądek , Linear differentiel equations and multiple zeta values. I. Zeta(2), Fundamenta Mathematicae, 2010. See in PBN
• Weronika Barwicz, Henryk Żołądek , The restricted three body problem revisited, Journal of Mathematical Analysis and Applications, 2010. See in PBN

2009

• Henryk Żołądek , Classification of diffeomorphisms of S⁴ induced by quaternionic Riccati equations with periodic coefficients, Topological Methods in Nonlinear Analysis, 2009. See in PBN

2008

• Henryk Żołądek , Algebraic curves in the complex plane, Scientific Research of the Institute of Mathematics and Computer Science, 2008. See in PBN
• Henryk Żołądek , Analytic ordinary differential equations and their local classification, 2008. See in PBN
• Henryk Żołądek , Application of Newton-Puiseux charts to the Jacobian problem, TOPOLOGY, 2008. See in PBN
• Henryk Żołądek , Book reviews: ''Limit cycles of differential equations'' by Colin Christopher and Chengzhi Li, Control and Cybernetics, 2008. See in PBN
• Maciej Borodzik , Henryk Żołądek , Complex algebraic curves via Poincare—Hopf formula III Codimension bounds, Journal of Mathematics of Kyoto University, 2008. See in PBN
• Maciej Borodzik , Henryk Żołądek , Geometry of Puiseux expansions, Annales Polonici Mathematici, 2008. See in PBN
• L. J. Golaszewski, P. Slawinski, Henryk Żołądek , Lotka-Volterra systems appearing after perturbation of Hopf center, International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2008. See in PBN
• Ewa Strożyna, Henryk Żołądek , Multidimensional formal Takens normal form, Bulletin of the Belgian Mathematical Society - Simon Stevin, 2008. See in PBN
• Maciej Borodzik , Henryk Żołądek , Small amplitude limit cycles for the polynomial Lienard system, Journal of Differential Equations, 2008. See in PBN
• Jaume Llibre, Henryk Żołądek , The Poincare center problem, Journal of Dynamical and Control Systems, 2008. See in PBN

2007

• Marcin Bobieński, Henryk Żołądek , A counterexample to a multidimensional version of the weakened Hilbert's 16th problem, Moscow Mathematical Journal, 2007. See in PBN
• A. Jebrane, Henryk Żołądek , A note on higher order Melnikov functions, Qualitative Theory of Dynamical Systems, 2007. See in PBN
• Maciej Borodzik , Henryk Żołądek , Complex algebraic curves via the Poncare-Hopf formula. I. Parametric lines, Pacific Journal of Mathematics, 2007. See in PBN

2006

• J. Chavarringa, L.A. Garcia, J. Libre, Henryk Żołądek , Invariant algebraic curves for the cubic Liénard system with linear damping, Bulletin des Sciences Mathematiques, 2006. See in PBN
• Henryk Żołądek , The monodromy group, 2006. See in PBN

2005

• Marcin Bobieński, Henryk Żołądek , Limit cycles of three dimensional polynomial vector fields, Nonlinearity, 2005. See in PBN
• Marcin Bobieński, Henryk Żołądek , The three-dimensional generalized Lotka-Volterra systems, Ergodic Theory and Dynamical Systems, 2005. See in PBN
• Henryk Żołądek , Twierdzenie Atiyaha-Singera o indeksie i jego okolice, Annales Societatis Mathematicae Polonae. Series II. Wiadomości Matematyczne, 2005. See in PBN

2004

• Henryk Żołądek , Piaty problem milenijny: istnienie pola Yanga-Millsa i luka masowa, Annales Societatis Mathematicae Polonae. Series II. Wiadomości Matematyczne, 2004. See in PBN

2003

• Henryk Żołądek , A new topological proof of the Abhyankar-Moh theorem, Mathematische Zeitschrift, 2003. See in PBN
• Marcin Bobieński, Henryk Żołądek , Limit cycles for multidimensional vector fields. The elliptic case,, Journal of Dynamical and Control Systems, 2003. See in PBN
• Henryk Żołądek , Multi-dimensional Jouanolou system, JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2003. See in PBN
• Henryk Żołądek , Note on multiple zeta-values, Buletinul Academiei de Stiinte a Republicii Moldova. Matematica, 2003. See in PBN
• E Stróżyna, Henryk Żołądek , Orbital formal normal forms for general Bogdanov-Takens singularity, Journal of Differential Equations, 2003. See in PBN

2002

• A Tretiakov, Henryk Żołądek , A remark about homogeneous polynomial maps, Topological Methods in Nonlinear Analysis, 2002. See in PBN
• Henryk Żołądek , Maxim Kontsevich i matematyka współczesna, Roczniki Polskiego Towarzystwa Matematycznego. Seria 2: Wiadomości Matematyczne, 2002. See in PBN
• Henryk Żołądek , Note on the deck transformations group and the monodromy group, Topological Methods in Nonlinear Analysis, 2002. See in PBN
• Henryk Żołądek , Polynomial Riccati equations with algebraic solutions, BANACH CENTER PUBLICATIONS, 2002. See in PBN
• E Stróżyna, Henryk Żołądek , The analytic and formal normal form for the nilpotent singularity, Journal of Differential Equations, 2002. See in PBN
• Maciej Borodzik , Henryk Żołądek , The Pascal Theorem and some its generalizations, Topological Methods in Nonlinear Analysis, 2002. See in PBN

2001

• P Leszczyński, Henryk Żołądek , Limit cycles appearing after perturbations of certain multidimensional vector fields, Journal of Dynamics and Differential Equations, 2001. See in PBN
• Henryk Żołądek , Periodic planar systems without periodic solutions, Qualitative Theory of Dynamical Systems, 2001. See in PBN
• Henryk Żołądek , The topological proof of the Abel-Ruffini theorem, Topological Methods in Nonlinear Analysis, 2001. See in PBN

2000

• Henryk Żołądek , Asymptotic properties of Abelian integrals arising in quadratic systems, Bulletin of the Belgian Mathematical Society - Simon Stevin, 2000. See in PBN
• Henryk Żołądek , The method of holomorphic foliations in planar periodic systems: The case of Riccati equation, Journal of Differential Equations, 2000. See in PBN
• Henryk Żołądek , Two remarks about Picard--Vessiot extensions and elementary functions, Colloquium Mathematicum, 2000. See in PBN

Others

• Paweł Lubowiecki, Henryk Żołądek , Melnikov functions in the rigid body dynamics, Geometric Methods in Physics XXXVII, , p. 75-82. See in PBN
• Michał Zakrzewski, Henryk Żołądek , Multiple zeta values and the WKB method, Analytic and Algebraic Geometry, , p. 155-202. See in PBN
• Henryk Żołądek , The Poncelet Theorems in Interpretation of Rafaɫ Koɫodziej, Geometric Methods in Physics XXXV, , p. 135-150. See in PBN