Wilczak, Daniel; Zgliczyński, Piotr A geometric method for infinite-dimensional chaos: symbolic dynamics for the Kuramoto-Sivashinsky PDE on the line. (English) Zbl 1439.35218 J. Differ. Equations 269, No. 10, 8509-8548 (2020). MSC: 35K35 35B30 35B40 65G30 35B10 35B45 65N30 PDFBibTeX XMLCite \textit{D. Wilczak} and \textit{P. Zgliczyński}, J. Differ. Equations 269, No. 10, 8509--8548 (2020; Zbl 1439.35218) Full Text: DOI arXiv
Gierzkiewicz, Anna; Zgliczyński, Piotr A computer-assisted proof of symbolic dynamics in Hyperion’s rotation. (English) Zbl 1451.70032 Celest. Mech. Dyn. Astron. 131, No. 7, Paper No. 33, 17 p. (2019). MSC: 70F15 37B10 37D45 37N05 PDFBibTeX XMLCite \textit{A. Gierzkiewicz} and \textit{P. Zgliczyński}, Celest. Mech. Dyn. Astron. 131, No. 7, Paper No. 33, 17 p. (2019; Zbl 1451.70032) Full Text: DOI arXiv
Li, Ming-Chia; Lyu, Ming-Jiea; Zgliczyński, Piotr Topological entropy for multidimensional perturbations of snap-back repellers and one-dimensional maps. (English) Zbl 1153.37354 Nonlinearity 21, No. 11, 2555-2567 (2008). MSC: 37D45 54C70 37B30 37J40 37B10 PDFBibTeX XMLCite \textit{M.-C. Li} et al., Nonlinearity 21, No. 11, 2555--2567 (2008; Zbl 1153.37354) Full Text: DOI Link
Capiński, Maciej J.; Zgliczyński, Piotr Covering relations and non-autonomous perturbations of ODEs. (English) Zbl 1098.37009 Discrete Contin. Dyn. Syst. 14, No. 2, 281-293 (2006). MSC: 37B10 37B55 37B30 PDFBibTeX XMLCite \textit{M. J. Capiński} and \textit{P. Zgliczyński}, Discrete Contin. Dyn. Syst. 14, No. 2, 281--293 (2006; Zbl 1098.37009) Full Text: DOI arXiv
Srzednicki, R.; Wójcik, K.; Zgliczyński, P. Fixed point results based on the Ważewski method. (English) Zbl 1079.37012 Brown, R.F. (ed.) et al., Handbook of topological fixed point theory. Berlin: Springer (ISBN 1-4020-3221-8/hbk). 905-944 (2005). Reviewer: Ioan A. Rus (Cluj-Napoca) MSC: 37C10 37B10 47H10 54H25 37D45 PDFBibTeX XMLCite \textit{R. Srzednicki} et al., in: Handbook of topological fixed point theory. Berlin: Springer. 905--944 (2005; Zbl 1079.37012)
Arioli, Gianni; Zgliczyński, Piotr The Hénon-Heiles Hamiltonian near the critical energy level. Some rigorous results. (English) Zbl 1040.37049 Nonlinearity 16, No. 5, 1833-1852 (2003). MSC: 37J45 37-04 37B10 37C27 37C29 37D45 37C80 PDFBibTeX XMLCite \textit{G. Arioli} and \textit{P. Zgliczyński}, Nonlinearity 16, No. 5, 1833--1852 (2003; Zbl 1040.37049) Full Text: DOI
Wójcik, Klaudiusz; Zgliczyński, Piotr Isolating segments, fixed point index, and symbolic dynamics. III: Applications. (English) Zbl 1025.37013 J. Differ. Equations 183, No. 1, 262-278 (2002). Reviewer: Sergei Yu.Pilyugin (St.Peterburg) MSC: 37C25 37B10 34C28 34C37 PDFBibTeX XMLCite \textit{K. Wójcik} and \textit{P. Zgliczyński}, J. Differ. Equations 183, No. 1, 262--278 (2002; Zbl 1025.37013) Full Text: DOI
Zgliczyński, Piotr On periodic points for systems of weakly coupled 1-dim maps. (English) Zbl 1076.37505 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 46, No. 7, 1039-1062 (2001). Reviewer: Sophia L. Kalpazidou (Thessaloniki) MSC: 37C25 37E05 37B10 PDFBibTeX XMLCite \textit{P. Zgliczyński}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 46, No. 7, 1039--1062 (2001; Zbl 1076.37505) Full Text: DOI
Galias, Zbigniew; Zgliczyński, Piotr Abundance of homoclinic and heteroclinic orbits and rigorous bounds for the topological entropy for the Hénon map. (English) Zbl 1067.37052 Nonlinearity 14, No. 5, 909-932 (2001). MSC: 37E15 37B10 37B40 37C29 37D45 PDFBibTeX XMLCite \textit{Z. Galias} and \textit{P. Zgliczyński}, Nonlinearity 14, No. 5, 909--932 (2001; Zbl 1067.37052) Full Text: DOI
Arioli, Gianni; Zgliczyński, Piotr Symbolic dynamics for the Hénon-Heiles Hamiltonian on the critical level. (English) Zbl 1018.37006 J. Differ. Equations 171, No. 1, 173-202 (2001). Reviewer: Simos Ichtiaroglou (Thessaloniki) MSC: 37B10 37J45 70H05 70H07 PDFBibTeX XMLCite \textit{G. Arioli} and \textit{P. Zgliczyński}, J. Differ. Equations 171, No. 1, 173--202 (2001; Zbl 1018.37006) Full Text: DOI
Wójcik, Klaudiusz; Zgliczyński, Piotr Isolating segments, fixed point index, and symbolic dynamics. (English) Zbl 0953.34034 J. Differ. Equations 161, No. 2, 245-288 (2000). Reviewer: Sergei Yu.Pilyugin (St.Peterburg) MSC: 34C28 37C25 37B30 37B10 PDFBibTeX XMLCite \textit{K. Wójcik} and \textit{P. Zgliczyński}, J. Differ. Equations 161, No. 2, 245--288 (2000; Zbl 0953.34034) Full Text: DOI
Zgliczyński, Piotr Multidimensional perturbations of one-dimensional maps and stability of Šarkovskiĭ ordering. (English) Zbl 1089.37502 Int. J. Bifurcation Chaos Appl. Sci. Eng. 9, No. 9, 1867-1876 (1999). MSC: 37B10 37B30 37E15 PDFBibTeX XMLCite \textit{P. Zgliczyński}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 9, No. 9, 1867--1876 (1999; Zbl 1089.37502) Full Text: DOI
Zgliczyński, Piotr Symbolic dynamics for the Rössler folded towel map. (English) Zbl 1067.37500 Mischaikow, Konstantin (ed.) et al., Conley index theory. Warszawa: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 47, 253-258 (1999). Reviewer: Messoud A. Efendiev (Berlin) MSC: 37B10 PDFBibTeX XMLCite \textit{P. Zgliczyński}, Banach Cent. Publ. 47, 253--258 (1999; Zbl 1067.37500) Full Text: EuDML