Barrientos, Pablo G.; Raibekas, Artem Robust degenerate unfoldings of cycles and tangencies. (English) Zbl 07307361 J. Dyn. Differ. Equations 33, No. 1, 177-209 (2021). MSC: 37 PDF BibTeX XML Cite \textit{P. G. Barrientos} and \textit{A. Raibekas}, J. Dyn. Differ. Equations 33, No. 1, 177--209 (2021; Zbl 07307361) Full Text: DOI
Pham, Tien-Son Local minimizers of semi-algebraic functions from the viewpoint of tangencies. (English) Zbl 1442.14180 SIAM J. Optim. 30, No. 3, 1777-1794 (2020). Reviewer: Tadeusz Krasiński (Łódź) MSC: 14P10 65K10 26D10 PDF BibTeX XML Cite \textit{T.-S. Pham}, SIAM J. Optim. 30, No. 3, 1777--1794 (2020; Zbl 1442.14180) Full Text: DOI
Hayashi, Shuhei A forward ergodic closing lemma and the entropy conjecture for nonsingular endomorphisms away from tangencies. (English) Zbl 1441.37026 Discrete Contin. Dyn. Syst. 40, No. 4, 2285-2313 (2020). Reviewer: Ivan Podvigin (Novosibirsk) MSC: 37C05 37A05 37A10 37D30 37A25 37G25 PDF BibTeX XML Cite \textit{S. Hayashi}, Discrete Contin. Dyn. Syst. 40, No. 4, 2285--2313 (2020; Zbl 1441.37026) Full Text: DOI
Ruelle, David Linear response theory for diffeomorphisms with tangencies of stable and unstable manifolds – a contribution to the Gallavotti-Cohen chaotic hypothesis. (English) Zbl 1408.37044 Nonlinearity 31, No. 12, 5683-5691 (2018). MSC: 37C40 37C15 37D20 37D45 PDF BibTeX XML Cite \textit{D. Ruelle}, Nonlinearity 31, No. 12, 5683--5691 (2018; Zbl 1408.37044) Full Text: DOI
Giraldo, Andrus; Krauskopf, Bernd; Osinga, Hinke M. Cascades of global bifurcations and chaos near a homoclinic flip bifurcation: a case study. (English) Zbl 1408.37087 SIAM J. Appl. Dyn. Syst. 17, No. 4, 2784-2829 (2018). MSC: 37G20 37C29 37M20 34C45 34C23 37D45 PDF BibTeX XML Cite \textit{A. Giraldo} et al., SIAM J. Appl. Dyn. Syst. 17, No. 4, 2784--2829 (2018; Zbl 1408.37087) Full Text: DOI
Delshams, Amadeu; Gonchenko, Marina; Gonchenko, Sergey V.; Lázaro, J. Tomás Mixed dynamics of 2-dimensional reversible maps with a symmetric couple of quadratic homoclinic tangencies. (English) Zbl 1397.37052 Discrete Contin. Dyn. Syst. 38, No. 9, 4483-4507 (2018). MSC: 37G20 37G40 34C37 PDF BibTeX XML Cite \textit{A. Delshams} et al., Discrete Contin. Dyn. Syst. 38, No. 9, 4483--4507 (2018; Zbl 1397.37052) Full Text: DOI
Nielsen, Frank; Shao, Laëtitia On balls in a Hilbert polygonal geometry. (English) Zbl 1436.51004 Aronov, Boris (ed.) et al., 33rd international symposium on computational geometry. SoCG 2017, Brisbane, Australia, July 4–7, 2017. Proceedings. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 77, Article 67, 4 p. (2017). MSC: 51A05 51F99 PDF BibTeX XML Cite \textit{F. Nielsen} and \textit{L. Shao}, LIPIcs -- Leibniz Int. Proc. Inform. 77, Article 67, 4 p. (2017; Zbl 1436.51004) Full Text: DOI
Lohse, Alexander; Rodrigues, Alexandre Boundary crisis for degenerate singular cycles. (English) Zbl 1381.34062 Nonlinearity 30, No. 6, 2211-2245 (2017). Reviewer: Jürgen Knobloch (Ilmenau) MSC: 34C37 37C29 37G35 37D45 PDF BibTeX XML Cite \textit{A. Lohse} and \textit{A. Rodrigues}, Nonlinearity 30, No. 6, 2211--2245 (2017; Zbl 1381.34062) Full Text: DOI
Mitryakova, T. M.; Pochinka, O. V. The criterium of the topological conjugacy of 3-diffeomorphisms with a finite number orbits of heteroclinic tangency. (Russian. English summary) Zbl 1374.37034 Zh. Sredn. Mat. Obshch. 17, No. 4, 37-40 (2015). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 37C15 37C05 37C29 37C75 PDF BibTeX XML Cite \textit{T. M. Mitryakova} and \textit{O. V. Pochinka}, Zh. Sredn. Mat. Obshch. 17, No. 4, 37--40 (2015; Zbl 1374.37034)
Labouriau, Isabel S.; Rodrigues, Alexandre A. P. Dense heteroclinic tangencies near a Bykov cycle. (English) Zbl 1326.34078 J. Differ. Equations 259, No. 11, 5875-5902 (2015). MSC: 34C37 34C28 37C29 37D05 37G35 PDF BibTeX XML Cite \textit{I. S. Labouriau} and \textit{A. A. P. Rodrigues}, J. Differ. Equations 259, No. 11, 5875--5902 (2015; Zbl 1326.34078) Full Text: DOI arXiv
Burguet, David; Liao, Gang; Yang, Jiagang Asymptotic \(h\)-expansiveness rate of \(C^{\infty}\) maps. (English) Zbl 1352.37015 Proc. Lond. Math. Soc. (3) 111, No. 2, 381-419 (2015). MSC: 37A35 37B40 37E05 30D05 PDF BibTeX XML Cite \textit{D. Burguet} et al., Proc. Lond. Math. Soc. (3) 111, No. 2, 381--419 (2015; Zbl 1352.37015) Full Text: DOI arXiv
Mitryakova, T. M.; Pochinka, O. V. On topological conjugacy of 3-manifolds diffeomorphisms with one orbit of heteroclinic tangency. (Russian. English summary) Zbl 1340.37029 Zh. Sredn. Mat. Obshch. 16, No. 2, 76-80 (2014). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 37C29 37C15 PDF BibTeX XML Cite \textit{T. M. Mitryakova} and \textit{O. V. Pochinka}, Zh. Sredn. Mat. Obshch. 16, No. 2, 76--80 (2014; Zbl 1340.37029)
Hayashi, Shuhei A \(C^{2}\) generic trichotomy for diffeomorphisms: hyperbolicity or zero Lyapunov exponents or the \(C^{1}\) creation of homoclinic bifurcations. (English) Zbl 1304.37018 Trans. Am. Math. Soc. 366, No. 11, 5613-5651 (2014). Reviewer: Kazuhiro Sakai (Utsunomiya) MSC: 37C20 37D20 37D25 37D30 37G25 PDF BibTeX XML Cite \textit{S. Hayashi}, Trans. Am. Math. Soc. 366, No. 11, 5613--5651 (2014; Zbl 1304.37018) Full Text: DOI
Grines, E. A.; Pochinka, O. V. Necessary conditions for topological conjugacy of 3-manifold diffeomorphisms with orbits of heteroclinic tangency. (Russian. English summary) Zbl 1340.37024 Zh. Sredn. Mat. Obshch. 15, No. 4, 77-90 (2013). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 37C15 37C29 PDF BibTeX XML Cite \textit{E. A. Grines} and \textit{O. V. Pochinka}, Zh. Sredn. Mat. Obshch. 15, No. 4, 77--90 (2013; Zbl 1340.37024)
Hittmeyer, Stefanie; Krauskopf, Bernd; Osinga, Hinke M. Interacting global invariant sets in a planar map model of wild chaos. (English) Zbl 1304.37023 SIAM J. Appl. Dyn. Syst. 12, No. 3, 1280-1329 (2013). Reviewer: Yuriy V. Rogovchenko (Kristiansand) MSC: 37D45 37G20 37C29 37C70 PDF BibTeX XML Cite \textit{S. Hittmeyer} et al., SIAM J. Appl. Dyn. Syst. 12, No. 3, 1280--1329 (2013; Zbl 1304.37023) Full Text: DOI
Liao, Gang; Viana, Marcelo; Yang, Jiagang The entropy conjecture for diffeomorphisms away from tangencies. (English) Zbl 1325.37031 J. Eur. Math. Soc. (JEMS) 15, No. 6, 2043-2060 (2013). Reviewer: Pau Martin de la Torre (Barcelona) MSC: 37G25 37B10 37B40 37C20 PDF BibTeX XML Cite \textit{G. Liao} et al., J. Eur. Math. Soc. (JEMS) 15, No. 6, 2043--2060 (2013; Zbl 1325.37031) Full Text: DOI arXiv
Crovisier, Sylvain Pertubation of the dynamics of diffeomorphisms in the \(C^1\)-topology. (Perturbation de la dynamique de difféomorphismes en topologie \(C^1\).) (French) Zbl 1300.37001 Astérisque 354. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-764-3/pbk). ix, 164 p. (2013). Reviewer: Eleonora Catsigeras (Montevideo) MSC: 37-02 37C05 37C29 37Dxx PDF BibTeX XML Cite \textit{S. Crovisier}, Perturbation de la dynamique de difféomorphismes en topologie \(C^1\). Paris: Société Mathématique de France (SMF) (2013; Zbl 1300.37001)
Liang, Chao; Sun, Wenxiang; Yang, Jiagang Some results on perturbations of Lyapunov exponents. (English) Zbl 1291.37032 Discrete Contin. Dyn. Syst. 32, No. 12, 4287-4305 (2012). Reviewer: Yun Zhao (Suzhou) MSC: 37C40 37D25 37H15 37A35 PDF BibTeX XML Cite \textit{C. Liang} et al., Discrete Contin. Dyn. Syst. 32, No. 12, 4287--4305 (2012; Zbl 1291.37032) Full Text: DOI arXiv
Pach, János; Suk, Andrew; Treml, Miroslav Tangencies between families of disjoint regions in the plane. (English) Zbl 1243.52001 Comput. Geom. 45, No. 3, 131-138 (2012). MSC: 52A10 PDF BibTeX XML Cite \textit{J. Pach} et al., Comput. Geom. 45, No. 3, 131--138 (2012; Zbl 1243.52001) Full Text: DOI
Xu, Yingxiang; Zou, Yongkui Preservation of homoclinic orbits under discretization of delay differential equations. (English) Zbl 1223.37032 Discrete Contin. Dyn. Syst. 31, No. 1, 275-299 (2011). MSC: 37C29 37N30 65P30 PDF BibTeX XML Cite \textit{Y. Xu} and \textit{Y. Zou}, Discrete Contin. Dyn. Syst. 31, No. 1, 275--299 (2011; Zbl 1223.37032) Full Text: DOI
Leplaideur, Renaud Thermodynamic formalism for a family of non-uniformly hyperbolic horseshoes and the unstable Jacobian. (English) Zbl 1225.37040 Ergodic Theory Dyn. Syst. 31, No. 2, 423-447 (2011). Reviewer: Georgy Osipenko (St. Peterburg) MSC: 37D35 37D25 37F35 PDF BibTeX XML Cite \textit{R. Leplaideur}, Ergodic Theory Dyn. Syst. 31, No. 2, 423--447 (2011; Zbl 1225.37040) Full Text: DOI
Ruelle, David Singularities of the susceptibility of a Sinai-Ruelle-Bowen measure in the presence of stable-unstable tangencies. (English) Zbl 1230.37044 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 369, No. 1935, 482-493 (2011). Reviewer: Kazuhiro Sakai (Utsunomiya) MSC: 37D25 37D20 37C40 PDF BibTeX XML Cite \textit{D. Ruelle}, Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 369, No. 1935, 482--493 (2011; Zbl 1230.37044) Full Text: DOI
Pach, János; Suk, Andrew; Treml, Miroslav Tangencies between families of disjoint regions in the plane. (English) Zbl 1284.68614 Proceedings of the 26th annual symposium on computational geometry, SoCG 2010, Snowbird, UT, USA, June 13–16, 2010. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-0016-2). 423-428 (2010). MSC: 68U05 52A10 68R10 PDF BibTeX XML Cite \textit{J. Pach} et al., in: Proceedings of the 26th annual symposium on computational geometry, SoCG 2010, Snowbird, UT, USA, June 13--16, 2010. New York, NY: Association for Computing Machinery (ACM). 423--428 (2010; Zbl 1284.68614) Full Text: DOI
Kiriki, Shin; Nishizawa, Yusuke; Soma, Teruhiko Heterodimensional tangencies on cycles leading to strange attractors. (English) Zbl 1213.37054 Discrete Contin. Dyn. Syst. 27, No. 1, 285-300 (2010). Reviewer: Georgy Osipenko (St. Peterburg) MSC: 37D30 37D45 37G25 PDF BibTeX XML Cite \textit{S. Kiriki} et al., Discrete Contin. Dyn. Syst. 27, No. 1, 285--300 (2010; Zbl 1213.37054) Full Text: DOI arXiv
Gorodetski, Anton; Kaloshin, Vadim Conservative homoclinic bifurcations and some applications. (English) Zbl 1205.37030 Proc. Steklov Inst. Math. 267, 76-90 (2009). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37C05 37C20 37G10 PDF BibTeX XML Cite \textit{A. Gorodetski} and \textit{V. Kaloshin}, Proc. Steklov Inst. Math. 267, 76--90 (2009; Zbl 1205.37030) Full Text: DOI
Bessa, Mário; Rocha, Jorge Homoclinic tangencies versus uniform hyperbolicity for conservative 3-flows. (English) Zbl 1189.37021 J. Differ. Equations 247, No. 11, 2913-2923 (2009). Reviewer: Sergiy Yanchuk (Berlin) MSC: 37C10 37D20 37G20 37C15 PDF BibTeX XML Cite \textit{M. Bessa} and \textit{J. Rocha}, J. Differ. Equations 247, No. 11, 2913--2923 (2009; Zbl 1189.37021) Full Text: DOI
Pujals, Enrique R.; Sambarino, Martin Density of hyperbolicity and tangencies in sectional dissipative regions. (English) Zbl 1189.37032 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 5, 1971-2000 (2009). Reviewer: Peter Giesl (Brighton) MSC: 37D30 PDF BibTeX XML Cite \textit{E. R. Pujals} and \textit{M. Sambarino}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 5, 1971--2000 (2009; Zbl 1189.37032) Full Text: DOI EuDML
Liu, Geng; Liang, Chao Conditions for dominated splittings. (English) Zbl 1176.37014 Acta Math. Sin., Engl. Ser. 25, No. 8, 1389-1398 (2009). Reviewer: Eugene Ershov (St. Petersburg) MSC: 37D30 PDF BibTeX XML Cite \textit{G. Liu} and \textit{C. Liang}, Acta Math. Sin., Engl. Ser. 25, No. 8, 1389--1398 (2009; Zbl 1176.37014) Full Text: DOI
Sierra, José Carlos Smooth \(n\)-dimensional subvarieties of \(\mathbb P^{2n-1}\) containing a family of very degenerate divisors. (English) Zbl 1222.14115 Int. J. Math. 20, No. 1, 109-122 (2009). MSC: 14N05 14D06 14M07 PDF BibTeX XML Cite \textit{J. C. Sierra}, Int. J. Math. 20, No. 1, 109--122 (2009; Zbl 1222.14115) Full Text: DOI arXiv
Mitryakova, T. M. Construction of diffeomorphisms with a finite number of orbits of heteroclinic tangencies on surfaces. (Russian. English summary) Zbl 1164.37008 Tr. Sredn. Mat. Obshch. 10, No. 1, 222-231 (2008). Reviewer: Pavel A. Shamanaev (Saransk) MSC: 37C05 PDF BibTeX XML Cite \textit{T. M. Mitryakova}, Tr. Sredn. Mat. Obshch. 10, No. 1, 222--231 (2008; Zbl 1164.37008)
Nishizawa, Yusuke Existence of horseshoe sets with nondegenerate one-sided homoclinic tangencies in \(\mathbb R^3\). (English) Zbl 1147.37017 Hokkaido Math. J. 37, No. 1, 133-145 (2008). MSC: 37D05 37C29 37C05 37D40 37C25 37G20 PDF BibTeX XML Cite \textit{Y. Nishizawa}, Hokkaido Math. J. 37, No. 1, 133--145 (2008; Zbl 1147.37017) Full Text: DOI
Sakai, Kazuhiro \(C^{1}\)-stably shadowable chain components. (English) Zbl 1147.37015 Ergodic Theory Dyn. Syst. 28, No. 3, 987-1029 (2008). Reviewer: Angela Slavova (Sofia) MSC: 37C50 37D30 37C29 37C75 37C25 PDF BibTeX XML Cite \textit{K. Sakai}, Ergodic Theory Dyn. Syst. 28, No. 3, 987--1029 (2008; Zbl 1147.37015) Full Text: DOI
Gonchenko, S. V.; Shilnikov, L. P.; Turaev, D. V. On dynamical properties of multidimensional diffeomorphisms from Newhouse regions: I. (English) Zbl 1160.37019 Nonlinearity 21, No. 5, 923-972 (2008). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 37G25 37D45 37G15 37C70 PDF BibTeX XML Cite \textit{S. V. Gonchenko} et al., Nonlinearity 21, No. 5, 923--972 (2008; Zbl 1160.37019) Full Text: DOI
Essl, Georg Computation of wave fronts on a disk. I: Numerical experiments. (English) Zbl 1279.65138 Seda, Anthony K. (ed.) et al., Proceedings of the third Irish conference on the mathematical foundations of computer science and information technology (MFCSIT 2004), Dublin, Ireland, July 22–23, 2004. Amsterdam: Elsevier. Electronic Notes in Theoretical Computer Science 161, 25-41 (2006). MSC: 65P99 37D50 37M05 PDF BibTeX XML Cite \textit{G. Essl}, Electron. Notes Theor. Comput. Sci. 161, 25--41 (2006; Zbl 1279.65138) Full Text: Link
Abdenur, Flavio; Bonatti, Christian; Crovisier, Sylvain; Díaz, Lorenzo J. Generic diffeomorphisms on compact surfaces. (English) Zbl 1089.37032 Fundam. Math. 187, No. 2, 127-159 (2005). MSC: 37E30 37C20 37C29 37C70 37D20 37B20 PDF BibTeX XML Cite \textit{F. Abdenur} et al., Fundam. Math. 187, No. 2, 127--159 (2005; Zbl 1089.37032) Full Text: DOI
Gonchenko, V. S.; Kuznetsov, Yu. A.; Meijer, H. G. E. Generalized Hénon map and bifurcations of homoclinic tangencies. (English) Zbl 1090.37036 SIAM J. Appl. Dyn. Syst. 4, No. 2, 407-436 (2005). MSC: 37G10 34C23 37G20 37G05 37E30 37M20 PDF BibTeX XML Cite \textit{V. S. Gonchenko} et al., SIAM J. Appl. Dyn. Syst. 4, No. 2, 407--436 (2005; Zbl 1090.37036) Full Text: DOI
Gonchenko, S. V.; Turaev, D. V.; Shilnikov, L. P. Existence of infinitely many elliptic periodic orbits in four-dimensional symplectic maps with a homoclinic tangency. (English. Russian original) Zbl 1079.37049 Dynamical systems and related problems of geometry. Collected papers dedicated to the memory of Academician Andrei Andreevich Bolibrukh. Transl. from the Russian. Moscow: Maik Nauka/Interperiodika. Proceedings of the Steklov Institute of Mathematics 244, 106-131 (2004); translation from Tr. Mat. Inst. Steklova 244, 115-142 (2004). Reviewer: Ale Jan Homburg (Amsterdam) MSC: 37J10 37G25 37J20 37C25 PDF BibTeX XML Cite \textit{S. V. Gonchenko} et al., in: Dynamical systems and related problems of geometry. Collected papers dedicated to the memory of Academician Andrei Andreevich Bolibrukh. Transl. from the Russian. Moscow: Maik Nauka/Interperiodika. 106--131 (2004; Zbl 1079.37049); translation from Tr. Mat. Inst. Steklova 244, 115--142 (2004) Full Text: Link
Ugarcovici, Ilie; Weiss, Howard Chaotic dynamics of a nonlinear density dependent population model. (English) Zbl 1066.37020 Nonlinearity 17, No. 5, 1689-1711 (2004). MSC: 37D45 37N25 37G35 92D25 PDF BibTeX XML Cite \textit{I. Ugarcovici} and \textit{H. Weiss}, Nonlinearity 17, No. 5, 1689--1711 (2004; Zbl 1066.37020) Full Text: DOI
Bedford, Eric; Smillie, John Real polynomial diffeomorphisms with maximal entropy: tangencies. (English) Zbl 1084.37034 Ann. Math. (2) 160, No. 1, 1-26 (2004). Reviewer: Andrzej Pelczar (Kraków) MSC: 37E30 37B40 37C05 37D40 37C75 37F10 PDF BibTeX XML Cite \textit{E. Bedford} and \textit{J. Smillie}, Ann. Math. (2) 160, No. 1, 1--26 (2004; Zbl 1084.37034) Full Text: DOI Euclid arXiv
Zou, Y.-K.; Beyn, W.-J. On manifolds of connecting orbits in discretizations of dynamical systems. (English) Zbl 1018.37018 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 52, No. 5, 1499-1520 (2003). Reviewer: Boris V.Loginov (Ulyanovsk) MSC: 37C29 65P30 PDF BibTeX XML Cite \textit{Y. K. Zou} and \textit{W. J. Beyn}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 52, No. 5, 1499--1520 (2003; Zbl 1018.37018) Full Text: DOI
Alligood, K.; Sander, E.; Yorke, J. Explosions: Global bifurcations at heteroclinic tangencies. (English) Zbl 1018.37031 Ergodic Theory Dyn. Syst. 22, No. 4, 953-972 (2002). Reviewer: Govindan Rangarajan (Bangalore) MSC: 37G25 37C29 37E30 37G15 37G30 PDF BibTeX XML Cite \textit{K. Alligood} et al., Ergodic Theory Dyn. Syst. 22, No. 4, 953--972 (2002; Zbl 1018.37031) Full Text: DOI
Garcia, Ronaldo; Sotomayor, Jorge Umbilic and tangential singularities on configurations of principal curvature lines. (English) Zbl 1009.53006 An. Acad. Bras. Ciênc. 74, No. 1, 1-17 (2002). Reviewer: Serguey M.Pokas (Odessa) MSC: 53A05 PDF BibTeX XML Cite \textit{R. Garcia} and \textit{J. Sotomayor}, An. Acad. Bras. Ciênc. 74, No. 1, 1--17 (2002; Zbl 1009.53006) Full Text: DOI
Shilnikov, Leonid Bifurcations and strange attractors. (English) Zbl 1055.37026 Li, Ta Tsien (ed.) et al., Proceedings of the international congress of mathematicians, ICM 2002, Beijing, China, August 20–28, 2002. Vol. III: Invited lectures. Beijing: Higher Education Press; Singapore: World Scientific/distributor (ISBN 7-04-008690-5/3 vol. set). 349-372 (2002). MSC: 37C29 37-02 37C70 37C15 37D45 37G99 PDF BibTeX XML Cite \textit{L. Shilnikov}, in: Proceedings of the international congress of mathematicians, ICM 2002, Beijing, China, August 20--28, 2002. Vol. III: Invited lectures. Beijing: Higher Education Press; Singapore: World Scientific/distributor. 349--372 (2002; Zbl 1055.37026) Full Text: arXiv
Reyes, M. B.; Sartorelli, J. C. Topological analysis in a dripping faucet experiments. (English) Zbl 1075.37545 Boccaletti, S. (ed.) et al., Space-time chaos. Characterization, control and synchronization. Proceedings of the interdisciplinary school, Pamplona, Spain, June 19–23, 2000. Singapore: World Scientific (ISBN 981-02-4506-8/hbk). 157-167 (2001). MSC: 37N99 37D45 PDF BibTeX XML Cite \textit{M. B. Reyes} and \textit{J. C. Sartorelli}, in: Space-time chaos. Characterization, control and synchronization. Proceedings of the interdisciplinary school, Pamplona, Spain, June 19--23, 2000. Singapore: World Scientific. 157--167 (2001; Zbl 1075.37545)
Ashwin, Peter; Fu, Xin-Chu Tangencies in invariant disc packings for certain planar piecewise isometries are rare. (English) Zbl 1032.37026 Dyn. Syst. 16, No. 4, 333-345 (2001). MSC: 37E30 37B10 PDF BibTeX XML Cite \textit{P. Ashwin} and \textit{X.-C. Fu}, Dyn. Syst. 16, No. 4, 333--345 (2001; Zbl 1032.37026) Full Text: DOI
Díaz, Lorenzo J.; Rocha, Jorge Partially hyperbolic and transitive dynamics generated by heteroclinic cycles. (English) Zbl 0972.37018 Ergodic Theory Dyn. Syst. 21, No. 1, 25-76 (2001). Reviewer: Jerzy Ombach (Kraków) MSC: 37D30 37C29 PDF BibTeX XML Cite \textit{L. J. Díaz} and \textit{J. Rocha}, Ergodic Theory Dyn. Syst. 21, No. 1, 25--76 (2001; Zbl 0972.37018) Full Text: DOI
Pintus, Patrick; Sands, Duncan; de Vilder, Robin On the transition from local regular to global irregular fluctuations. (English) Zbl 0996.37080 J. Econ. Dyn. Control 24, No. 2, 247-272 (2000). MSC: 37N40 91B62 PDF BibTeX XML Cite \textit{P. Pintus} et al., J. Econ. Dyn. Control 24, No. 2, 247--272 (2000; Zbl 0996.37080) Full Text: DOI
Plumecoq, Jérôme; Lefranc, Marc From template analysis to generating partitions. II: Characterization of the symbolic encodings. (English) Zbl 0978.37007 Physica D 144, No. 3-4, 259-278 (2000). Reviewer: Dieter Erle (Dortmund) MSC: 37B10 57M25 37D45 37C27 PDF BibTeX XML Cite \textit{J. Plumecoq} and \textit{M. Lefranc}, Physica D 144, No. 3--4, 259--278 (2000; Zbl 0978.37007) Full Text: DOI
Pujals, Enrique R.; Sambarino, Martín On homoclinic tangencies, hyperbolicity, creation of homoclinic orbits and varation of entropy. (English) Zbl 0983.37059 Nonlinearity 13, No. 3, 921-926 (2000). Reviewer: Messoud Efendiev (Berlin) MSC: 37G25 37C29 37G20 37B40 PDF BibTeX XML Cite \textit{E. R. Pujals} and \textit{M. Sambarino}, Nonlinearity 13, No. 3, 921--926 (2000; Zbl 0983.37059) Full Text: DOI
Duarte, Pedro Persistent homoclinic tangencies for conservative maps near the identity. (English) Zbl 0977.37028 Ergodic Theory Dyn. Syst. 20, No. 2, 393-438 (2000). Reviewer: O.V.Stenkin (Nizhny Novgorod) MSC: 37G25 37-02 37G30 PDF BibTeX XML Cite \textit{P. Duarte}, Ergodic Theory Dyn. Syst. 20, No. 2, 393--438 (2000; Zbl 0977.37028) Full Text: DOI
Gavosto, Estela A. Bifurcations of the complex Hénon map. (English) Zbl 0989.37027 de la Llave, Rafael et al., Dynamics of algorithms. Proceedings of the IMA workshop, Minneapolis, MN, USA, November 1997. New York, NY: Springer. IMA Vol. Math. Appl. 118, 127-134 (2000). Reviewer: Messoud Efendiev (Berlin) MSC: 37D45 37G10 37F05 PDF BibTeX XML Cite \textit{E. A. Gavosto}, IMA Vol. Math. Appl. 118, 127--134 (2000; Zbl 0989.37027)
Martín, J. C.; Mora, L. \(C^2\)-perturbations of Hopf’s bifurcation points and homoclinic tangencies. (English) Zbl 0956.37042 Proc. Am. Math. Soc. 128, No. 4, 1241-1245 (2000). MSC: 37J30 37D45 PDF BibTeX XML Cite \textit{J. C. Martín} and \textit{L. Mora}, Proc. Am. Math. Soc. 128, No. 4, 1241--1245 (2000; Zbl 0956.37042) Full Text: DOI
Catsigeras, Eleonora; Enrich, Heber Persistence of the Feigenbaum attractor in one-parameter families. (English) Zbl 0983.37046 Commun. Math. Phys. 207, No. 3, 621-640 (1999). Reviewer: Messoud Efendiev (Berlin) MSC: 37E20 37G25 37C70 37C05 37C29 PDF BibTeX XML Cite \textit{E. Catsigeras} and \textit{H. Enrich}, Commun. Math. Phys. 207, No. 3, 621--640 (1999; Zbl 0983.37046) Full Text: DOI
Lipp, C.; Jung, C. From scattering singularities to the partition of a horseshoe. (English) Zbl 0987.37025 Chaos 9, No. 3, 706-714 (1999). MSC: 37D45 37B10 PDF BibTeX XML Cite \textit{C. Lipp} and \textit{C. Jung}, Chaos 9, No. 3, 706--714 (1999; Zbl 0987.37025) Full Text: DOI
Fornæss, John Erik; Gavosto, Estela A. Tangencies for real and complex Hénon maps: An analytic method. (English) Zbl 0955.37010 Exp. Math. 8, No. 3, 253-260 (1999). Reviewer: Messoud Efendiev (Berlin) MSC: 37C29 37G35 37E30 34C37 34C28 PDF BibTeX XML Cite \textit{J. E. Fornæss} and \textit{E. A. Gavosto}, Exp. Math. 8, No. 3, 253--260 (1999; Zbl 0955.37010) Full Text: DOI EuDML
Kaloshin, Vadim Yu. An extension of the Artin-Mazur theorem. (English) Zbl 0969.37009 Ann. Math. (2) 150, No. 2, 729-741 (1999). Reviewer: Ale Jan Homburg (Amsterdam) MSC: 37C20 37G20 PDF BibTeX XML Cite \textit{V. Yu. Kaloshin}, Ann. Math. (2) 150, No. 2, 729--741 (1999; Zbl 0969.37009) Full Text: DOI Link EuDML arXiv
Duarte, Pedro Abundance of elliptic isles at conservative bifurcations. (English) Zbl 0947.37014 Dyn. Stab. Syst. 14, No. 4, 339-356 (1999). Reviewer: Simos Ichtiaroglou (Thessaloniki) MSC: 37D05 37D45 37C29 PDF BibTeX XML Cite \textit{P. Duarte}, Dyn. Stab. Syst. 14, No. 4, 339--356 (1999; Zbl 0947.37014) Full Text: DOI
Tanikawa, Kiyotaka; Yamaguchi, Yoshihiro On the appearance order of homoclinic and heteroclinic intersections in a family of dissipative maps of the plane. (English) Zbl 0936.37033 Chaos Solitons Fractals 9, No. 9, 1497-1512 (1998). Reviewer: Alexei Ivanov (St.Peterburg) MSC: 37J45 37D45 37E30 PDF BibTeX XML Cite \textit{K. Tanikawa} and \textit{Y. Yamaguchi}, Chaos Solitons Fractals 9, No. 9, 1497--1512 (1998; Zbl 0936.37033) Full Text: DOI
Morales, C. A.; Pujals, E. R. Strange attractors containing a singularity with two positive multipliers. (English) Zbl 0921.58039 Commun. Math. Phys. 196, No. 3, 671-679 (1998). Reviewer: Messoud Efendiev (Berlin) MSC: 37C70 37D45 PDF BibTeX XML Cite \textit{C. A. Morales} and \textit{E. R. Pujals}, Commun. Math. Phys. 196, No. 3, 671--679 (1998; Zbl 0921.58039) Full Text: DOI
Catsigeras, Eleonora; Enrich, Heber Homoclinic tangencies near cascades of period doubling bifurcations. (English) Zbl 0912.58025 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 15, No. 3, 255-299 (1998). Reviewer: Ale Jan Homburg (College Park) MSC: 37G99 PDF BibTeX XML Cite \textit{E. Catsigeras} and \textit{H. Enrich}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 15, No. 3, 255--299 (1998; Zbl 0912.58025) Full Text: DOI Numdam EuDML
Jaeger, Lars; Kantz, Holger Homoclinic tangencies and non-normal Jacobians-effects of noise in nonhyperbolic chaotic systems. (English) Zbl 0933.37021 Physica D 105, No. 1-3, 79-96 (1997). MSC: 37D40 37D25 37H10 PDF BibTeX XML Cite \textit{L. Jaeger} and \textit{H. Kantz}, Physica D 105, No. 1--3, 79--96 (1997; Zbl 0933.37021) Full Text: DOI
Jaeger, Lars; Kantz, Holger Structure of generating partitions for two-dimensional maps. (English) Zbl 0922.58050 J. Phys. A, Math. Gen. 30, No. 16, L567-L576 (1997). Reviewer: Messoud Efendiev (Berlin) MSC: 37D45 37B99 82C05 PDF BibTeX XML Cite \textit{L. Jaeger} and \textit{H. Kantz}, J. Phys. A, Math. Gen. 30, No. 16, L\, 567-L\, 576 (1997; Zbl 0922.58050) Full Text: DOI
Takens, F. Chaos in systems beyond hyperbolicity. (English) Zbl 0921.58040 Proc. Steklov Inst. Math. 216, 360-365 (1997) and Tr. Mat. Inst. Steklova 216, 364-369 (1997). Reviewer: B.V.Loginov (Ul’yanovsk) MSC: 37D45 37C70 PDF BibTeX XML Cite \textit{F. Takens}, in: Dinamicheskie sistemy i smezhnye voprosy. Sbornik statej. K 60-letiyu so dnya rozhdeniya akademika D. V. Anosova. Moskva: Nauka. MAIK Nauka. 364--369 (1997; Zbl 0921.58040)
Mora, Leonardo; Romero, Neptalí Persistence of homoclinic tangencies for area-preserving maps. (English) Zbl 0932.37033 Ann. Fac. Sci. Toulouse, VI. Sér., Math. 6, No. 4, 711-725 (1997). MSC: 37G25 37E35 PDF BibTeX XML Cite \textit{L. Mora} and \textit{N. Romero}, Ann. Fac. Sci. Toulouse, Math. (6) 6, No. 4, 711--725 (1997; Zbl 0932.37033) Full Text: DOI Numdam EuDML
Christiansen, Freddy; Politi, Antonio Guidelines for the construction of a generating partition in the standard map. (English) Zbl 0925.58019 Physica D 109, No. 1-2, 32-41 (1997). MSC: 37E99 37D45 PDF BibTeX XML Cite \textit{F. Christiansen} and \textit{A. Politi}, Physica D 109, No. 1--2, 32--41 (1997; Zbl 0925.58019) Full Text: DOI
Catsigeras, Eleonora Cascades of period doubling bifurcations in \(n\) dimensions. (English) Zbl 0895.58042 Nonlinearity 9, No. 4, 1061-1070 (1996). MSC: 37G99 37C70 PDF BibTeX XML Cite \textit{E. Catsigeras}, Nonlinearity 9, No. 4, 1061--1070 (1996; Zbl 0895.58042) Full Text: DOI
Gonchenko, S. V.; Shil’nikov, L. P. On geometrical properties of two-dimensional diffeomorphisms with homoclinic tangencies. (English) Zbl 0885.58062 Int. J. Bifurcation Chaos Appl. Sci. Eng. 5, No. 3, 819-829 (1995). MSC: 37D99 37G99 37C75 PDF BibTeX XML Cite \textit{S. V. Gonchenko} and \textit{L. P. Shil'nikov}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 5, No. 3, 819--829 (1995; Zbl 0885.58062) Full Text: DOI
Ghane, F. H.; Honary, B. Degree one maps of the circle with non-trivial and non-persistent rotation sets. (English) Zbl 0840.34040 Ann. Differ. Equations 11, No. 4, 389-391 (1995). MSC: 37-XX PDF BibTeX XML Cite \textit{F. H. Ghane} and \textit{B. Honary}, Ann. Differ. Equations 11, No. 4, 389--391 (1995; Zbl 0840.34040)
Flenner, Hubert; Vogel, Wolfgang Joins, tangencies and intersections. (English) Zbl 0844.14002 Math. Ann. 302, No. 3, 489-505 (1995). Reviewer: E.Stagnaro (Padova) MSC: 14C17 14M07 PDF BibTeX XML Cite \textit{H. Flenner} and \textit{W. Vogel}, Math. Ann. 302, No. 3, 489--505 (1995; Zbl 0844.14002) Full Text: DOI EuDML
Shil’nikov, Leonid P. Chua’s circuit: Rigorous results and future problems. (English) Zbl 0870.58072 Int. J. Bifurcation Chaos Appl. Sci. Eng. 4, No. 3, 489-519 (1994). MSC: 37D45 37N99 PDF BibTeX XML Cite \textit{L. P. Shil'nikov}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 4, No. 3, 489--519 (1994; Zbl 0870.58072) Full Text: DOI
Tracqui, P. Mixed-mode oscillation genealogy in a compartmental model of bone mineral metabolism. (English) Zbl 0788.92005 J. Nonlinear Sci. 4, No. 1, 69-103 (1994). MSC: 92C30 37N99 34C05 PDF BibTeX XML Cite \textit{P. Tracqui}, J. Nonlinear Sci. 4, No. 1, 69--103 (1994; Zbl 0788.92005) Full Text: DOI
Kiriki, Shin A note on the heteroclinic \(\Omega\)-explosions. (English) Zbl 0924.58039 Ushiki, S. (ed.), Proceedings of the RIMS conference on chaotic dynamical systems, Kyoto, Japan, July 7–10, 1992. Singapore: World Scientific. Advanced Series in Dynamical Systems. 13, 48-64 (1993). MSC: 37A99 37D45 PDF BibTeX XML Cite \textit{S. Kiriki}, in: Proceedings of the RIMS conference on chaotic dynamical systems, Kyoto, Japan, July 7--10, 1992. Singapore: World Scientific. 48--64 (1993; Zbl 0924.58039)
Hirschberg, P.; Knobloch, E. Shilnikov-Hopf bifurcation. (English) Zbl 0786.34052 Physica D 62, No. 1-4, 202-216 (1993). MSC: 34C37 34C23 37D45 PDF BibTeX XML Cite \textit{P. Hirschberg} and \textit{E. Knobloch}, Physica D 62, No. 1--4, 202--216 (1993; Zbl 0786.34052) Full Text: DOI
Giovannini, Franco; Politi, Antonio Homoclinic tangencies, generating partitions and curvature of invariant manifolds. (English) Zbl 0733.58033 J. Phys. A, Math. Gen. 24, No. 8, 1837-1887 (1991). Reviewer: M.G.Nerurkar (Camden) MSC: 37G99 37N99 34C23 PDF BibTeX XML Cite \textit{F. Giovannini} and \textit{A. Politi}, J. Phys. A, Math. Gen. 24, No. 8, 1837--1887 (1991; Zbl 0733.58033) Full Text: DOI
Shen, Jiaqi; Cheng, Fude The chaotic behaviors of a group of spread Holmess’s Duffing equations. (Chinese. English summary) Zbl 0735.34036 J. Syst. Sci. Math. Sci. 11, No. 3, 245-249 (1991). MSC: 34C37 37D45 PDF BibTeX XML Cite \textit{J. Shen} and \textit{F. Cheng}, J. Syst. Sci. Math. Sci. 11, No. 3, 245--249 (1991; Zbl 0735.34036)
Takens, Floris Homoclinic bifurcations. (English) Zbl 0672.58030 Proc. Int. Congr. Math., Berkeley/Calif. 1986, Vol. 2, 1229-1236 (1987). Reviewer: A.Vanderbauwhede MSC: 37G99 PDF BibTeX XML
Patterson, S.; Robinson, C. Basins of sinks near homoclinic tangencies. (English) Zbl 0658.58024 Dynamical systems and bifurcation theory, Proc. Meet., Rio de Janeiro/Braz. 1985, Pitman Res. Notes Math. Ser. 160, 347-376 (1987). Reviewer: N.V.Ivanov MSC: 37G99 37D99 PDF BibTeX XML
Zak, F. L. Structure of Gauss maps. (English. Russian original) Zbl 0623.14026 Funct. Anal. Appl. 21, No. 1-3, 32-41 (1987); translation from Funkts. Anal. Prilozh. 21, No. 1, 39-50 (1987). MSC: 14N05 14M15 PDF BibTeX XML Cite \textit{F. L. Zak}, Funct. Anal. Appl. 21, No. 1--3, 32--41 (1987; Zbl 0623.14026); translation from Funkts. Anal. Prilozh. 21, No. 1, 39--50 (1987) Full Text: DOI
Hale, Jack K.; Spezamiglio, Adalberto Perturbation of homoclinics and subharmonics in Duffing’s equation. (English) Zbl 0563.34040 Nonlinear Anal., Theory Methods Appl. 9, 181-192 (1985). MSC: 34C15 34C25 34C28 PDF BibTeX XML Cite \textit{J. K. Hale} and \textit{A. Spezamiglio}, Nonlinear Anal., Theory Methods Appl. 9, 181--192 (1985; Zbl 0563.34040) Full Text: DOI
Fournier, Danielle; Kawakami, Hiroshi; Mira, Christian Sur les bifurcations d’un difféomorphisme quadratique bi-dimensionnel. Situations homoclines et hétéroclines. Zone Morse-Smale. (Bifurcations of a quadratic two-dimensional diffeomorphism, homoclinic and heteroclinic situations. Morse-Smale area). (French) Zbl 0557.34039 C. R. Acad. Sci., Paris, Sér. I 298, 253-256 (1984). MSC: 34C25 37D15 PDF BibTeX XML Cite \textit{D. Fournier} et al., C. R. Acad. Sci., Paris, Sér. I 298, 253--256 (1984; Zbl 0557.34039)
Dimca, Alexandru Tangencies of generic real projective hypersurfaces. (English) Zbl 0509.14029 Math. Scand. 53, 216-220 (1983). MSC: 14Pxx 32B20 14J17 58C25 58K99 PDF BibTeX XML Cite \textit{A. Dimca}, Math. Scand. 53, 216--220 (1983; Zbl 0509.14029) Full Text: DOI EuDML
Banchoff, Thomas F. Double tangency theorems for pairs of submanifolds. (English) Zbl 0474.53007 Geometry, Proc. Symp., Utrecht 1980, Lect. Notes Math. 894, 26-48 (1981). MSC: 53A07 57R20 PDF BibTeX XML
Percell, Peter B. On homotopies of transient vector fields. (English) Zbl 0439.57014 Topology 19, 387-393 (1980). MSC: 57R25 58C25 58K99 57R45 57M40 57N10 PDF BibTeX XML Cite \textit{P. B. Percell}, Topology 19, 387--393 (1980; Zbl 0439.57014) Full Text: DOI