Arenson, Joshua G.; Mitchell, Kevin A. Topological dynamics of volume-preserving maps without an equatorial heteroclinic curve. (English) Zbl 1491.37072 Physica D 424, Article ID 132925, 23 p. (2021). MSC: 37M21 37C29 37C79 37A05 37C25 37C20 37D10 PDF BibTeX XML Cite \textit{J. G. Arenson} and \textit{K. A. Mitchell}, Physica D 424, Article ID 132925, 23 p. (2021; Zbl 1491.37072) Full Text: DOI arXiv
Collins, Pieter; Mitchell, Kevin A. Graph duality in surface dynamics. (English) Zbl 1435.37064 J. Nonlinear Sci. 29, No. 5, 2103-2135 (2019). MSC: 37E30 37C27 37E25 37B10 PDF BibTeX XML Cite \textit{P. Collins} and \textit{K. A. Mitchell}, J. Nonlinear Sci. 29, No. 5, 2103--2135 (2019; Zbl 1435.37064) Full Text: DOI
Chen, Fengjuan; Oksasoglu, Ali; Wang, Qiudong Heteroclinic tangles in time-periodic equations. (English) Zbl 1268.37035 J. Differ. Equations 254, No. 3, 1137-1171 (2013). Reviewer: Angela Slavova (Sofia) MSC: 37D45 37C40 37C29 PDF BibTeX XML Cite \textit{F. Chen} et al., J. Differ. Equations 254, No. 3, 1137--1171 (2013; Zbl 1268.37035) Full Text: DOI
Mitchell, Kevin A. Partitioning two-dimensional mixed phase spaces. (English) Zbl 1417.37188 Physica D 241, No. 20, 1718-1734 (2012). MSC: 37J05 37J25 70K55 37B10 PDF BibTeX XML Cite \textit{K. A. Mitchell}, Physica D 241, No. 20, 1718--1734 (2012; Zbl 1417.37188) Full Text: DOI
Takahasi, Hiroki; Wang, Qiudong Nonuniformly expanding 1D maps with logarithmic singularities. (English) Zbl 1268.37052 Nonlinearity 25, No. 2, 533-550 (2012). MSC: 37E10 37D45 37C10 PDF BibTeX XML Cite \textit{H. Takahasi} and \textit{Q. Wang}, Nonlinearity 25, No. 2, 533--550 (2012; Zbl 1268.37052) Full Text: DOI arXiv
Sella, Lorenzo; Collins, Pieter Computation of symbolic dynamics for two-dimensional piecewise-affine maps. (English) Zbl 1218.37050 Discrete Contin. Dyn. Syst., Ser. B 15, No. 3, 739-767 (2011). Reviewer: E. Ahmed (Mansoura) MSC: 37E99 37B30 37B10 PDF BibTeX XML Cite \textit{L. Sella} and \textit{P. Collins}, Discrete Contin. Dyn. Syst., Ser. B 15, No. 3, 739--767 (2011; Zbl 1218.37050) Full Text: DOI
Du Toit, Philip C.; Marsden, Jerrold E. Horseshoes in hurricanes. (English) Zbl 1205.37032 J. Fixed Point Theory Appl. 7, No. 2, 351-384 (2010). MSC: 37C10 86-08 76-04 86A10 76F65 PDF BibTeX XML Cite \textit{P. C. Du Toit} and \textit{J. E. Marsden}, J. Fixed Point Theory Appl. 7, No. 2, 351--384 (2010; Zbl 1205.37032) Full Text: DOI
Mitchell, Kevin A. The topology of nested homoclinic and heteroclinic tangles. (English) Zbl 1160.37329 Physica D 238, No. 7, 737-763 (2009). MSC: 37C29 37B10 37D45 PDF BibTeX XML Cite \textit{K. A. Mitchell}, Physica D 238, No. 7, 737--763 (2009; Zbl 1160.37329) Full Text: DOI
Hohloch, Sonja Floer homology for homoclinic tangles. (English) Zbl 1155.53302 Leipzig: Univ. Leipzig, Fakultät für Mathematik und Informatik (Diss.). viii, 153 p. (2008). MSC: 53-02 53D55 PDF BibTeX XML Cite \textit{S. Hohloch}, Floer homology for homoclinic tangles. Leipzig: Univ. Leipzig, Fakultät für Mathematik und Informatik (Diss.) (2008; Zbl 1155.53302)
Mitchell, Kevin A.; Delos, John B. The structure of ionizing electron trajectories for hydrogen in parallel fields. (English) Zbl 1118.81504 Physica D 229, No. 1, 9-21 (2007). MSC: 81Q50 81U99 37B10 PDF BibTeX XML Cite \textit{K. A. Mitchell} and \textit{J. B. Delos}, Physica D 229, No. 1, 9--21 (2007; Zbl 1118.81504) Full Text: DOI
Homburg, Ale Jan; Lamb, Jeroen S. W. Symmetric homoclinic tangles in reversible systems. (English) Zbl 1132.37013 Ergodic Theory Dyn. Syst. 26, No. 6, 1769-1789 (2006). Reviewer: Constantin Udrişte (Bucureşti) MSC: 37C29 37G15 PDF BibTeX XML Cite \textit{A. J. Homburg} and \textit{J. S. W. Lamb}, Ergodic Theory Dyn. Syst. 26, No. 6, 1769--1789 (2006; Zbl 1132.37013) Full Text: DOI
Mitchell, Kevin A.; Delos, John B. A new topological technique for characterizing homoclinic tangles. (English) Zbl 1130.37338 Physica D 221, No. 2, 170-187 (2006). MSC: 37C29 37B99 37E30 PDF BibTeX XML Cite \textit{K. A. Mitchell} and \textit{J. B. Delos}, Physica D 221, No. 2, 170--187 (2006; Zbl 1130.37338) Full Text: DOI
Sander, Evelyn Homoclinic tangles for noninvertible maps. (English) Zbl 0983.37020 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 41, No. 1-2, 259-276 (2000). Reviewer: Messoud Efendiev (Berlin) MSC: 37C29 37G25 PDF BibTeX XML Cite \textit{E. Sander}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 41, No. 1--2, 259--276 (2000; Zbl 0983.37020) Full Text: DOI
Dankowicz, Harry Escape of particles orbiting asteroids in the presence of radiation pressure through separatrix splitting. (English) Zbl 0906.70006 Celest. Mech. Dyn. Astron. 67, No. 1, 63-85 (1997). Reviewer: S.Ichtiaroglou MSC: 70F15 37J99 78A40 PDF BibTeX XML Cite \textit{H. Dankowicz}, Celest. Mech. Dyn. Astron. 67, No. 1, 63--85 (1997; Zbl 0906.70006) Full Text: DOI
Weibel, S.; Kaper, T. J.; Baillieul, J. Global dynamics of a rapidly forced cart and pendulum. (English) Zbl 0897.70017 Nonlinear Dyn. 13, No. 2, 131-170 (1997). Reviewer: Á.Bosznay (Budapest) MSC: 70K40 37B99 PDF BibTeX XML Cite \textit{S. Weibel} et al., Nonlinear Dyn. 13, No. 2, 131--170 (1997; Zbl 0897.70017) Full Text: DOI
Easton, Robert W. Transport through chaos. (English) Zbl 0724.70024 Nonlinearity 4, No. 2, 583-590 (1991). MSC: 70K50 37J99 37D45 70H30 PDF BibTeX XML Cite \textit{R. W. Easton}, Nonlinearity 4, No. 2, 583--590 (1991; Zbl 0724.70024) Full Text: DOI Link
Wilbrink, Jacob New fixed point of the renormalisation operator associated with the recurrence of invariant circles in generic Hamiltonian maps. (English) Zbl 0702.70029 Nonlinearity 3, No. 3, 567-584 (1990). MSC: 70K50 37J99 70H05 PDF BibTeX XML Cite \textit{J. Wilbrink}, Nonlinearity 3, No. 3, 567--584 (1990; Zbl 0702.70029) Full Text: DOI
Escande, D. F. Structure of homoclinic tangles in Hamiltonian systems. (English) Zbl 0744.58050 Nonlinear dynamics, Proc. Conf., Bologna/Italy 1988, 45-56 (1989). Reviewer: M.Puta (Timişoara) MSC: 37D45 37J99 PDF BibTeX XML Cite \textit{D. F. Escande}, in: Conference on nonlinear dynamics, Bologna, Italy, 30 May-3 June 1988. Singapore etc.: World Scientific. 45--56 (1989; Zbl 0744.58050)
Chenciner, Alain Hamiltonian-like phenomena in saddle-node bifurcations of invariant curves for plane diffeomorphisms. (English) Zbl 0561.58036 Singularities and dynamical systems, Proc. Int. Conf., Heraklion/Greece 1983, North-Holland Math. Stud. 103, 7-14 (1985). Reviewer: R.Devaney MSC: 37G99 PDF BibTeX XML