Dondè, Tobia; Zanolin, Fabio Multiple periodic solutions for a Duffing type equation with one-sided sublinear nonlinearity: beyond the Poincaré-Birkhoff twist theorem. (English) Zbl 07272003 Pinelas, Sandra (ed.) et al., Differential and difference equations with applications. Selected papers based on the presentations at the fourth international conference, ICDDEA 2019, Lisbon, Portugal, July 1–5, 2019. Cham: Springer (ISBN 978-3-030-56322-6/hbk; 978-3-030-56323-3/ebook). Springer Proceedings in Mathematics & Statistics 333, 207-223 (2020). MSC: 34C25 34C15 37C60 34C28 37E40 47N20 37J46 PDF BibTeX XML Cite \textit{T. Dondè} and \textit{F. Zanolin}, in: Differential and difference equations with applications. Selected papers based on the presentations at the fourth international conference, ICDDEA 2019, Lisbon, Portugal, July 1--5, 2019. Cham: Springer. 207--223 (2020; Zbl 07272003) Full Text: DOI
Tomeček, Jan; Rachůnková, Irena; Burkotová, Jana; Stryja, Jakub Coexistence of bouncing and classical periodic solutions of generalized Lazer-Solimini equation. (English) Zbl 1441.34052 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 196, Article ID 111783, 24 p. (2020). Reviewer: Guglielmo Feltrin (Spilimbergo) MSC: 34C25 34B18 37C60 37E40 PDF BibTeX XML Cite \textit{J. Tomeček} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 196, Article ID 111783, 24 p. (2020; Zbl 1441.34052) Full Text: DOI
Di Cairano, Loris; Gori, Matteo; Pettini, Marco Coherent Riemannian-geometric description of Hamiltonian order and chaos with Jacobi metric. (English) Zbl 07162203 Chaos 29, No. 12, 123134, 13 p. (2019). MSC: 70 PDF BibTeX XML Cite \textit{L. Di Cairano} et al., Chaos 29, No. 12, 123134, 13 p. (2019; Zbl 07162203) Full Text: DOI
Fonda, Alessandro; Ureña, Antonio J. A Poincaré-Birkhoff theorem for Hamiltonian flows on nonconvex domains. (English. French summary) Zbl 1423.37056 J. Math. Pures Appl. (9) 129, 131-152 (2019). MSC: 37J40 37J10 37J45 PDF BibTeX XML Cite \textit{A. Fonda} and \textit{A. J. Ureña}, J. Math. Pures Appl. (9) 129, 131--152 (2019; Zbl 1423.37056) Full Text: DOI
Kang, Jungsoo On reversible maps and symmetric periodic points. (English) Zbl 1390.37038 Ergodic Theory Dyn. Syst. 38, No. 4, 1479-1498 (2018). MSC: 37C25 37E30 37E40 PDF BibTeX XML Cite \textit{J. Kang}, Ergodic Theory Dyn. Syst. 38, No. 4, 1479--1498 (2018; Zbl 1390.37038) Full Text: DOI arXiv
Pelayo, Álvaro; Rezakhanlou, Fraydoun Poincaré-Birkhoff theorems in random dynamics. (English) Zbl 1433.37004 Trans. Am. Math. Soc. 370, No. 1, 601-639 (2018). MSC: 37A30 37A05 37E40 PDF BibTeX XML Cite \textit{Á. Pelayo} and \textit{F. Rezakhanlou}, Trans. Am. Math. Soc. 370, No. 1, 601--639 (2018; Zbl 1433.37004) Full Text: DOI arXiv
Fonda, Alessandro; Ureña, Antonio J. A higher dimensional Poincaré-Birkhoff theorem for Hamiltonian flows. (English) Zbl 1442.37076 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 34, No. 3, 679-698 (2017). Reviewer: Xiang Zhang (Shanghai) MSC: 37J46 37J11 37C25 70H12 PDF BibTeX XML Cite \textit{A. Fonda} and \textit{A. J. Ureña}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 34, No. 3, 679--698 (2017; Zbl 1442.37076) Full Text: DOI
Wu, Yinyin; Qian, Dingbian Infinity of subharmonics for Duffing equations with convex and oscillatory nonlinearities. (English) Zbl 1357.34079 Bound. Value Probl. 2016, Paper No. 223, 13 p. (2016). MSC: 34C25 37E40 34C15 37C60 PDF BibTeX XML Cite \textit{Y. Wu} and \textit{D. Qian}, Bound. Value Probl. 2016, Paper No. 223, 13 p. (2016; Zbl 1357.34079) Full Text: DOI
Kirillov, Alexander; Starkov, Victor Some extensions of the Poincaré-Birkhoff theorem. (English) Zbl 1284.55002 J. Fixed Point Theory Appl. 13, No. 2, 611-625 (2013). Reviewer: João Peres Vieira (Rio Claro) MSC: 55M20 54H25 37E40 PDF BibTeX XML Cite \textit{A. Kirillov} and \textit{V. Starkov}, J. Fixed Point Theory Appl. 13, No. 2, 611--625 (2013; Zbl 1284.55002) Full Text: DOI
Ferragut, Antoni; Llibre, Jaume; Pantazi, Chara Polynomial vector fields in \(\mathbb R^3\) with infinitely many limit cycles. (English) Zbl 1270.34041 Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 2, Article ID 1350029, 10 p. (2013). MSC: 34C05 34E10 PDF BibTeX XML Cite \textit{A. Ferragut} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 2, Article ID 1350029, 10 p. (2013; Zbl 1270.34041) Full Text: DOI
Bonino, Marc A topological version of the Poincaré-Birkhoff theorem with two fixed points. (English) Zbl 1277.37071 Math. Ann. 352, No. 4, 1013-1028 (2012). Reviewer: Florin Bojor (Baia Mare) MSC: 37E30 37C25 47H10 PDF BibTeX XML Cite \textit{M. Bonino}, Math. Ann. 352, No. 4, 1013--1028 (2012; Zbl 1277.37071) Full Text: DOI arXiv
Pascoletti, Anna; Zanolin, Fabio A topological approach to bend-twist maps with applications. (English) Zbl 1246.37066 Int. J. Differ. Equ. 2011, Article ID 612041, 20 p. (2011). Reviewer: Florin Bojor (Baia Mare) MSC: 37E40 54H25 47H10 37E45 39A23 PDF BibTeX XML Cite \textit{A. Pascoletti} and \textit{F. Zanolin}, Int. J. Differ. Equ. 2011, Article ID 612041, 20 p. (2011; Zbl 1246.37066) Full Text: DOI
Le Calvez, Patrice; Wang, Jian Some remarks on the Poincaré-Birkhoff theorem. (English) Zbl 1194.37069 Proc. Am. Math. Soc. 138, No. 2, 703-715 (2010). Reviewer: Franco Vivaldi (London) MSC: 37E30 37E40 37J10 PDF BibTeX XML Cite \textit{P. Le Calvez} and \textit{J. Wang}, Proc. Am. Math. Soc. 138, No. 2, 703--715 (2010; Zbl 1194.37069) Full Text: DOI
Bonino, Marc On the dynamics of homology-preserving homeomorphisms of the annulus. (English) Zbl 1165.37013 Trans. Am. Math. Soc. 361, No. 4, 1903-1923 (2009). Reviewer: Eugene Ershov (St. Petersburg) MSC: 37E30 37C25 37E45 PDF BibTeX XML Cite \textit{M. Bonino}, Trans. Am. Math. Soc. 361, No. 4, 1903--1923 (2009; Zbl 1165.37013) Full Text: DOI
Ferragut, Antoni; Llibre, Jaume; Teixeira, Marco Antonio Periodic orbits for a class \(C^1\) three-dimensional systems. (English) Zbl 1150.34015 Rend. Circ. Mat. Palermo (2) 56, No. 1, 101-115 (2007). Reviewer: Yuri V. Rogovchenko (Kalmar) MSC: 34C25 34C29 47H11 34C14 PDF BibTeX XML Cite \textit{A. Ferragut} et al., Rend. Circ. Mat. Palermo (2) 56, No. 1, 101--115 (2007; Zbl 1150.34015) Full Text: DOI
Parwani, Kamlesh Simple braids for surface homeomorphisms. (English) Zbl 1105.37028 Topology Appl. 153, No. 18, 3413-3419 (2006). MSC: 37E30 54H20 57M60 PDF BibTeX XML Cite \textit{K. Parwani}, Topology Appl. 153, No. 18, 3413--3419 (2006; Zbl 1105.37028) Full Text: DOI arXiv
Zanini, Chiara Rotation numbers, eigenvalues, and the Poincaré–Birkhoff theorem. (English) Zbl 1028.34038 J. Math. Anal. Appl. 279, No. 1, 290-307 (2003). Reviewer: Alessandro Fonda (Trieste) MSC: 34C25 34C10 PDF BibTeX XML Cite \textit{C. Zanini}, J. Math. Anal. Appl. 279, No. 1, 290--307 (2003; Zbl 1028.34038) Full Text: DOI
Boyarsky, Abraham; Góra, Paweł Chaotic maps derived from trajectory data. (English) Zbl 1080.37597 Chaos 12, No. 1, 42-48 (2002). MSC: 37M10 37A99 PDF BibTeX XML Cite \textit{A. Boyarsky} and \textit{P. Góra}, Chaos 12, No. 1, 42--48 (2002; Zbl 1080.37597) Full Text: DOI
Margheri, A.; Rebelo, C.; Zanolin, F. Maslov index, Poincaré-Birkhoff theorem and periodic solutions of asymptotically linear planar Hamiltonian systems. (English) Zbl 1119.37323 J. Differ. Equations 183, No. 2, 342-367 (2002). MSC: 37J45 34C25 70H12 PDF BibTeX XML Cite \textit{A. Margheri} et al., J. Differ. Equations 183, No. 2, 342--367 (2002; Zbl 1119.37323) Full Text: DOI
Kummer, Martin; Churchill, Richard C. The annular twist mapping of the restricted three-body problem. (English) Zbl 0884.70015 J. Dyn. Differ. Equations 9, No. 2, 249-268 (1997). MSC: 70F07 70H15 PDF BibTeX XML Cite \textit{M. Kummer} and \textit{R. C. Churchill}, J. Dyn. Differ. Equations 9, No. 2, 249--268 (1997; Zbl 0884.70015) Full Text: DOI
Rebelo, Carlota A note on the Poincaré-Birkhoff fixed point theorem and periodic solutions of planar systems. (English) Zbl 0906.34029 Nonlinear Anal., Theory Methods Appl. 29, No. 3, 291-311 (1997). Reviewer: H.-J.Bangen (Immenstaad) MSC: 34C25 PDF BibTeX XML Cite \textit{C. Rebelo}, Nonlinear Anal., Theory Methods Appl. 29, No. 3, 291--311 (1997; Zbl 0906.34029) Full Text: DOI
Knill, Oliver Topological entropy of standard type monotone twist maps. (English) Zbl 0945.37002 Trans. Am. Math. Soc. 348, No. 8, 2999-3013 (1996). MSC: 37A99 28D20 28D10 37A35 PDF BibTeX XML Cite \textit{O. Knill}, Trans. Am. Math. Soc. 348, No. 8, 2999--3013 (1996; Zbl 0945.37002) Full Text: DOI
Tanikawa, Kiyotaka; Yamaguchi, Yoshihiro Stable and unstable manifolds in a zone of instability. II. (English) Zbl 0844.58047 J. Math. Phys. 36, No. 7, 3608-3612 (1995). MSC: 37A99 37C75 PDF BibTeX XML Cite \textit{K. Tanikawa} and \textit{Y. Yamaguchi}, J. Math. Phys. 36, No. 7, 3608--3612 (1995; Zbl 0844.58047) Full Text: DOI
Mawhin, Jean Oscillatory properties of solutions and nonlinear differential equations with periodic boundary conditions. (English) Zbl 0830.34034 Rocky Mt. J. Math. 25, No. 1, 7-37 (1995). Reviewer: Ding Tongren (Beijing) MSC: 34C25 34C10 PDF BibTeX XML Cite \textit{J. Mawhin}, Rocky Mt. J. Math. 25, No. 1, 7--37 (1995; Zbl 0830.34034) Full Text: DOI
Fonda, Alessandro; Schneider, Zdenek; Zanolin, Fabio Periodic oscillations for a nonlinear suspension bridge model. (English) Zbl 0810.73030 J. Comput. Appl. Math. 52, No. 1-3, 113-140 (1994). MSC: 74H45 34C15 PDF BibTeX XML Cite \textit{A. Fonda} et al., J. Comput. Appl. Math. 52, No. 1--3, 113--140 (1994; Zbl 0810.73030) Full Text: DOI
Ding, Tongren; Zanolin, Fabio Periodic solutions of Duffing’s equations with superquadratic potential. (English) Zbl 0763.34030 J. Differ. Equations 97, No. 2, 328-378 (1992). Reviewer: B.Cheshankov (Sofia) MSC: 34C25 PDF BibTeX XML Cite \textit{T. Ding} and \textit{F. Zanolin}, J. Differ. Equations 97, No. 2, 328--378 (1992; Zbl 0763.34030) Full Text: DOI
Brown, Morton On the fixed point index of iterates of planar homeomorphisms. (English) Zbl 0686.58028 Proc. Am. Math. Soc. 108, No. 4, 1109-1114 (1990). MSC: 37C25 54H25 PDF BibTeX XML Cite \textit{M. Brown}, Proc. Am. Math. Soc. 108, No. 4, 1109--1114 (1990; Zbl 0686.58028) Full Text: DOI
Jacobowitz, Howard The existence of the second fixed point: A correction to ”Periodic solutions of x”+f(x,t)=0 via the Poincaré-Birkhoff theorem”. (English) Zbl 0354.34043 J. Differ. Equations 25, 148-149 (1977). MSC: 34C25 37-XX PDF BibTeX XML Cite \textit{H. Jacobowitz}, J. Differ. Equations 25, 148--149 (1977; Zbl 0354.34043) Full Text: DOI