Díaz, Lorenzo J.; Pérez, Sebastián A. Nontransverse heterodimensional cycles: stabilisation and robust tangencies. (English) Zbl 07641740 Trans. Am. Math. Soc. 376, No. 2, 891-944 (2023). MSC: 37C20 37C29 37D20 37D30 PDF BibTeX XML Cite \textit{L. J. Díaz} and \textit{S. A. Pérez}, Trans. Am. Math. Soc. 376, No. 2, 891--944 (2023; Zbl 07641740) Full Text: DOI arXiv OpenURL
Yang, Dawei; Zhang, Jinhua Ergodic optimization for some dynamical systems beyond uniform hyperbolicity. (English) Zbl 07618110 Dyn. Syst. 37, No. 4, 630-647 (2022). MSC: 37A25 37A35 37C05 37D25 PDF BibTeX XML Cite \textit{D. Yang} and \textit{J. Zhang}, Dyn. Syst. 37, No. 4, 630--647 (2022; Zbl 07618110) Full Text: DOI arXiv OpenURL
Berger, Pierre; Crovisier, Sylvain; Pujals, Enrique Germ-typicality of the coexistence of infinitely many sinks. (English) Zbl 07574785 Adv. Math. 407, Article ID 108528, 51 p. (2022). MSC: 37C20 37C29 37C75 37G20 37G25 PDF BibTeX XML Cite \textit{P. Berger} et al., Adv. Math. 407, Article ID 108528, 51 p. (2022; Zbl 07574785) Full Text: DOI arXiv OpenURL
Barrientos, Pablo G.; Díaz, Lorenzo J.; Pérez, Sebastián A. Homoclinic tangencies leading to robust heterodimensional cycles. (English) Zbl 07570244 Math. Z. 302, No. 1, 519-558 (2022). MSC: 37C20 37C29 37D20 37D30 PDF BibTeX XML Cite \textit{P. G. Barrientos} et al., Math. Z. 302, No. 1, 519--558 (2022; Zbl 07570244) Full Text: DOI arXiv OpenURL
Lee, Manseob Chain recurrence classes with shadowing of three dimensional generic vector fields. (English) Zbl 07563926 Balkan J. Geom. Appl. 27, No. 1, 79-86 (2022). MSC: 37C20 37C50 PDF BibTeX XML Cite \textit{M. Lee}, Balkan J. Geom. Appl. 27, No. 1, 79--86 (2022; Zbl 07563926) Full Text: Link OpenURL
Muni, Sishu Shankar; McLachlan, Robert I.; Simpson, David J. W. Unfolding globally resonant homoclinic tangencies. (English) Zbl 07557765 Discrete Contin. Dyn. Syst. 42, No. 8, 4013-4030 (2022). MSC: 37G25 37G15 37G20 37C75 37C29 37C25 39A28 39A30 PDF BibTeX XML Cite \textit{S. S. Muni} et al., Discrete Contin. Dyn. Syst. 42, No. 8, 4013--4030 (2022; Zbl 07557765) Full Text: DOI arXiv OpenURL
Kiriki, Shin; Li, Xiaolong; Nakano, Yushi; Soma, Teruhiko Abundance of observable Lyapunov irregular sets. (English) Zbl 1498.37073 Commun. Math. Phys. 391, No. 3, 1241-1269 (2022). Reviewer: Ivan Podvigin (Novosibirsk) MSC: 37E30 37D25 37D05 37C29 37C70 37G25 PDF BibTeX XML Cite \textit{S. Kiriki} et al., Commun. Math. Phys. 391, No. 3, 1241--1269 (2022; Zbl 1498.37073) Full Text: DOI arXiv OpenURL
Kiriki, Shin; Nakano, Yushi; Soma, Teruhiko Emergence via non-existence of averages. (English) Zbl 1497.37031 Adv. Math. 400, Article ID 108254, 30 p. (2022). MSC: 37C40 37A30 37C29 54C05 54E40 PDF BibTeX XML Cite \textit{S. Kiriki} et al., Adv. Math. 400, Article ID 108254, 30 p. (2022; Zbl 1497.37031) Full Text: DOI arXiv OpenURL
Muni, Sishu Shankar; McLachlan, Robert I.; Simpson, David J. W. Homoclinic tangencies with infinitely many asymptotically stable single-round periodic solutions. (English) Zbl 1470.37037 Discrete Contin. Dyn. Syst. 41, No. 8, 3629-3650 (2021). MSC: 37C29 37C27 37C75 37G25 37G15 PDF BibTeX XML Cite \textit{S. S. Muni} et al., Discrete Contin. Dyn. Syst. 41, No. 8, 3629--3650 (2021; Zbl 1470.37037) Full Text: DOI arXiv OpenURL
Zhusubaliyev, Zhanybai T.; Avrutin, Viktor; Bastian, Frank Transformations of closed invariant curves and closed-invariant-curve-like chaotic attractors in piecewise smooth systems. (English) Zbl 1467.37051 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 3, Article ID 2130009, 15 p. (2021). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37G35 37M22 37M20 37D45 PDF BibTeX XML Cite \textit{Z. T. Zhusubaliyev} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 3, Article ID 2130009, 15 p. (2021; Zbl 1467.37051) Full Text: DOI OpenURL
Bronzi, Marcus; Tahzibi, Ali Homoclinic tangency and variation of entropy. (English) Zbl 1482.37019 Port. Math. (N.S.) 77, No. 3-4, 383-398 (2020). MSC: 37B40 37D20 37D05 PDF BibTeX XML Cite \textit{M. Bronzi} and \textit{A. Tahzibi}, Port. Math. (N.S.) 77, No. 3--4, 383--398 (2020; Zbl 1482.37019) Full Text: DOI arXiv OpenURL
Barrientos, Pablo G.; Pérez, Sebastián A. Robust heteroclinic tangencies. (English) Zbl 1467.37023 Bull. Braz. Math. Soc. (N.S.) 51, No. 4, 1041-1056 (2020). Reviewer: Valentine Tyshchenko (Grodno) MSC: 37C05 37C20 37C29 PDF BibTeX XML Cite \textit{P. G. Barrientos} and \textit{S. A. Pérez}, Bull. Braz. Math. Soc. (N.S.) 51, No. 4, 1041--1056 (2020; Zbl 1467.37023) Full Text: DOI arXiv OpenURL
Martens, Marco; Palmisano, Liviana; Tao, Zhuang Newhouse laminations of polynomials on \(\mathbb{C}^2\). (English) Zbl 1457.32048 Int. J. Math. 31, No. 11, Article ID 2050091, 15 p. (2020). MSC: 32H50 37C25 37D45 37F44 PDF BibTeX XML Cite \textit{M. Martens} et al., Int. J. Math. 31, No. 11, Article ID 2050091, 15 p. (2020; Zbl 1457.32048) Full Text: DOI arXiv OpenURL
Gonchenko, Sergeĭ V.; Gonchenko, Marina S.; Sinitsky, Il’ya O. On mixed dynamics of two-dimensional reversible diffeomorphisms with symmetric non-transversal heteroclinic cycles. (English. Russian original) Zbl 1443.37022 Izv. Math. 84, No. 1, 23-51 (2020); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 84, No. 1, 27-59 (2020). MSC: 37C05 37C29 37C27 37C55 PDF BibTeX XML Cite \textit{S. V. Gonchenko} et al., Izv. Math. 84, No. 1, 23--51 (2020; Zbl 1443.37022); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 84, No. 1, 27--59 (2020) Full Text: DOI OpenURL
Simpson, David J. W. Unfolding codimension-two subsumed homoclinic connections in two-dimensional piecewise-linear maps. (English) Zbl 1441.37056 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 3, Article ID 2030006, 12 p. (2020). Reviewer: Carlo Laing (Auckland) MSC: 37G20 37G25 37C29 37D05 PDF BibTeX XML Cite \textit{D. J. W. Simpson}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 3, Article ID 2030006, 12 p. (2020; Zbl 1441.37056) Full Text: DOI arXiv OpenURL
Li, Dongchen; Turaev, Dmitry Persistent heterodimensional cycles in periodic perturbations of Lorenz-like attractors. (English) Zbl 1430.37028 Nonlinearity 33, No. 3, 971-1015 (2020). MSC: 37C70 37C79 37D45 PDF BibTeX XML Cite \textit{D. Li} and \textit{D. Turaev}, Nonlinearity 33, No. 3, 971--1015 (2020; Zbl 1430.37028) Full Text: DOI arXiv OpenURL
Liu, Xiao-Ming; Jiang, Jun; Hong, Ling; Tang, Dafeng Wada boundary bifurcations induced by boundary saddle-saddle collision. (English) Zbl 1428.37049 Phys. Lett., A 383, No. 2-3, 170-175 (2019). MSC: 37G20 PDF BibTeX XML Cite \textit{X.-M. Liu} et al., Phys. Lett., A 383, No. 2--3, 170--175 (2019; Zbl 1428.37049) Full Text: DOI OpenURL
Gonchenko, Sergey; Li, Ming-Chia; Malkin, Mikhail Criteria on existence of horseshoes near homoclinic tangencies of arbitrary orders. (English) Zbl 1397.37021 Dyn. Syst. 33, No. 3, 441-463 (2018). MSC: 37C29 37C75 PDF BibTeX XML Cite \textit{S. Gonchenko} et al., Dyn. Syst. 33, No. 3, 441--463 (2018; Zbl 1397.37021) Full Text: DOI OpenURL
Hashimoto, Shinobu; Kiriki, Shin; Soma, Teruhiko Moduli of 3-dimensional diffeomorphisms with saddle-foci. (English) Zbl 1394.37033 Discrete Contin. Dyn. Syst. 38, No. 10, 5021-5037 (2018). MSC: 37C15 37C20 37C05 37C29 37D10 PDF BibTeX XML Cite \textit{S. Hashimoto} et al., Discrete Contin. Dyn. Syst. 38, No. 10, 5021--5037 (2018; Zbl 1394.37033) Full Text: DOI arXiv OpenURL
Buzzi, Jérôme; Crovisier, Sylvain; Fisher, Todd The entropy of \(C^1\)-diffeomorphisms without a dominated splitting. (English) Zbl 1402.37026 Trans. Am. Math. Soc. 370, No. 9, 6685-6734 (2018). Reviewer: Pengfei Zhang (Norman) MSC: 37C05 37C15 37B40 37D05 37D30 PDF BibTeX XML Cite \textit{J. Buzzi} et al., Trans. Am. Math. Soc. 370, No. 9, 6685--6734 (2018; Zbl 1402.37026) Full Text: DOI arXiv OpenURL
Gonchenko, M.; Gonchenko, S.; Ovsyannikov, I. Bifurcations of cubic homoclinic tangencies in two-dimensional symplectic maps. (English) Zbl 1384.37068 Math. Model. Nat. Phenom. 12, No. 1, 41-61 (2017). MSC: 37J20 37J10 37C25 37G05 37G25 PDF BibTeX XML Cite \textit{M. Gonchenko} et al., Math. Model. Nat. Phenom. 12, No. 1, 41--61 (2017; Zbl 1384.37068) Full Text: DOI arXiv OpenURL
Creaser, Jennifer L.; Krauskopf, Bernd; Osinga, Hinke M. Finding first foliation tangencies in the Lorenz system. (English) Zbl 1381.37097 SIAM J. Appl. Dyn. Syst. 16, No. 4, 2127-2164 (2017). MSC: 37M20 37D10 37D45 37C29 65L10 65P30 PDF BibTeX XML Cite \textit{J. L. Creaser} et al., SIAM J. Appl. Dyn. Syst. 16, No. 4, 2127--2164 (2017; Zbl 1381.37097) Full Text: DOI OpenURL
Barrientos, Pablo G.; Raibekas, Artem Robust tangencies of large codimension. (English) Zbl 1385.37027 Nonlinearity 30, No. 12, 4369-4409 (2017). MSC: 37C29 37G20 37C05 37C10 PDF BibTeX XML Cite \textit{P. G. Barrientos} and \textit{A. Raibekas}, Nonlinearity 30, No. 12, 4369--4409 (2017; Zbl 1385.37027) Full Text: DOI arXiv OpenURL
Catalan, Thiago; Horita, Vanderlei \(C^1\)-genericity of symplectic diffeomorphisms and lower bounds for topological entropy. (English) Zbl 1377.37080 Dyn. Syst. 32, No. 4, 461-489 (2017). MSC: 37J10 37D30 37B40 37C20 PDF BibTeX XML Cite \textit{T. Catalan} and \textit{V. Horita}, Dyn. Syst. 32, No. 4, 461--489 (2017; Zbl 1377.37080) Full Text: DOI arXiv OpenURL
Lee, Manseob Weak measure expansiveness for partially hyperbolic diffeomorphisms. (English) Zbl 1375.37094 Chaos Solitons Fractals 103, 256-260 (2017). MSC: 37D30 37C29 PDF BibTeX XML Cite \textit{M. Lee}, Chaos Solitons Fractals 103, 256--260 (2017; Zbl 1375.37094) Full Text: DOI OpenURL
Li, Xiaolong A geometric model of mixing Lyapunov exponents inside homoclinic classes in dimension three. (English) Zbl 1377.37033 Tokyo J. Math. 40, No. 1, 1-43 (2017). MSC: 37C20 37C29 37D25 37D30 PDF BibTeX XML Cite \textit{X. Li}, Tokyo J. Math. 40, No. 1, 1--43 (2017; Zbl 1377.37033) Full Text: DOI Euclid OpenURL
Kiriki, Shin; Nakano, Yushi; Soma, Teruhiko Non-trivial wandering domains for heterodimensional cycles. (English) Zbl 1382.37049 Nonlinearity 30, No. 8, 3255-3270 (2017). Reviewer: Maite Grau (Lleida) MSC: 37G25 37C29 37C05 PDF BibTeX XML Cite \textit{S. Kiriki} et al., Nonlinearity 30, No. 8, 3255--3270 (2017; Zbl 1382.37049) Full Text: DOI arXiv OpenURL
Simpson, David J. W.; Tuffley, Christopher P. Subsumed homoclinic connections and infinitely many coexisting attractors in piecewise-linear maps. (English) Zbl 1362.37059 Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 2, Article ID 1730010, 20 p. (2017). MSC: 37C29 37G20 37C27 PDF BibTeX XML Cite \textit{D. J. W. Simpson} and \textit{C. P. Tuffley}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 2, Article ID 1730010, 20 p. (2017; Zbl 1362.37059) Full Text: DOI arXiv OpenURL
Delshams, Amadeu; Gonchenko, Marina; Gonchenko, Sergey Corrigendum to: “On dynamics and bifurcations of area-preserving maps with homoclinic tangencies”. (English) Zbl 1417.37159 Nonlinearity 30, No. 3, C2 (2017). MSC: 37E30 37G25 37C29 PDF BibTeX XML Cite \textit{A. Delshams} et al., Nonlinearity 30, No. 3, C2 (2017; Zbl 1417.37159) Full Text: DOI OpenURL
Li, Dongchen; Turaev, Dmitry V. Existence of heterodimensional cycles near shilnikov loops in systems with a \(\mathbb{Z}_2\) symmetry. (English) Zbl 1360.37129 Discrete Contin. Dyn. Syst. 37, No. 8, 4399-4437 (2017). MSC: 37G20 37G25 37G35 PDF BibTeX XML Cite \textit{D. Li} and \textit{D. V. Turaev}, Discrete Contin. Dyn. Syst. 37, No. 8, 4399--4437 (2017; Zbl 1360.37129) Full Text: DOI arXiv OpenURL
Gonchenko, Sergey; Ovsyannikov, Ivan Homoclinic tangencies to resonant saddles and discrete Lorenz attractors. (English) Zbl 1372.37049 Discrete Contin. Dyn. Syst., Ser. S 10, No. 2, 273-288 (2017). Reviewer: Carlo Laing (Auckland) MSC: 37C29 37C70 37G25 PDF BibTeX XML Cite \textit{S. Gonchenko} and \textit{I. Ovsyannikov}, Discrete Contin. Dyn. Syst., Ser. S 10, No. 2, 273--288 (2017; Zbl 1372.37049) Full Text: DOI arXiv OpenURL
Kiriki, Shin; Soma, Teruhiko Takens’ last problem and existence of non-trivial wandering domains. (English) Zbl 1381.37031 Adv. Math. 306, 524-588 (2017). Reviewer: Maite Grau (Lleida) MSC: 37C29 37C05 37G25 37D20 37D25 37D05 PDF BibTeX XML Cite \textit{S. Kiriki} and \textit{T. Soma}, Adv. Math. 306, 524--588 (2017; Zbl 1381.37031) Full Text: DOI arXiv OpenURL
Mitryakova, T. M.; Pochinka, O. V. Necessary and sufficient conditions for the topological conjugacy of 3-diffeomorphisms with heteroclinic tangencies. (English. Russian original) Zbl 1364.37052 Trans. Mosc. Math. Soc. 2016, 69-86 (2016); translation from Tr. Mosk. Mat. O.-va 77, No. 1, 83-102 (2016). Reviewer: Vladimir P. Kostov (Nice) MSC: 37C15 37C29 37D20 PDF BibTeX XML Cite \textit{T. M. Mitryakova} and \textit{O. V. Pochinka}, Trans. Mosc. Math. Soc. 2016, 69--86 (2016; Zbl 1364.37052); translation from Tr. Mosk. Mat. O.-va 77, No. 1, 83--102 (2016) Full Text: DOI OpenURL
Delshams, Amadeu; Gonchenko, Marina; Gonchenko, Sergey On bifurcations of homoclinic tangencies in area-preserving maps on non-orientable manifolds. (English) Zbl 1356.37037 Alsedà i Soler, Lluís (ed.) et al., Difference equations, discrete dynamical systems and applications, ICDEA, Barcelona, Spain, July 23–27, 2012. Proceedings of the 18th international conference. Berlin: Springer (ISBN 978-3-662-52926-3/hbk; 978-3-662-52927-0/ebook). Springer Proceedings in Mathematics & Statistics 180, 107-125 (2016). MSC: 37C29 37G10 PDF BibTeX XML Cite \textit{A. Delshams} et al., Springer Proc. Math. Stat. 180, 107--125 (2016; Zbl 1356.37037) Full Text: DOI OpenURL
Barrientos, Pablo G.; Ibáñez, Santiago; Rodríguez, J. Ángel Robust cycles unfolding from conservative bifocal homoclinic orbits. (English) Zbl 1380.37044 Dyn. Syst. 31, No. 4, 546-579 (2016). Reviewer: Kwok-wai Chung (Hong Kong) MSC: 37C29 37C05 37C10 37G20 37C20 37J45 37C15 PDF BibTeX XML Cite \textit{P. G. Barrientos} et al., Dyn. Syst. 31, No. 4, 546--579 (2016; Zbl 1380.37044) Full Text: DOI OpenURL
Shilin, I. S. Lyapunov unstable Milnor attractors. (English) Zbl 1367.37015 Dokl. Math. 94, No. 1, 415-417 (2016) and Dokl. Akad. Nauk, Ross. Akad. Nauk 469, No. 3, 287-290 (2016). MSC: 37B25 37C15 PDF BibTeX XML Cite \textit{I. S. Shilin}, Dokl. Math. 94, No. 1, 415--417 (2016; Zbl 1367.37015) Full Text: DOI OpenURL
Labouriau, Isabel S.; Rodrigues, Alexandre A. P. Global bifurcations close to symmetry. (English) Zbl 1364.37115 J. Math. Anal. Appl. 444, No. 1, 648-671 (2016). Reviewer: Maite Grau (Lleida) MSC: 37G20 37G40 PDF BibTeX XML Cite \textit{I. S. Labouriau} and \textit{A. A. P. Rodrigues}, J. Math. Anal. Appl. 444, No. 1, 648--671 (2016; Zbl 1364.37115) Full Text: DOI arXiv OpenURL
Gourmelon, Nikolaz A Franks’ lemma that preserves invariant manifolds. (English. French summary) Zbl 1369.37025 Ergodic Theory Dyn. Syst. 36, No. 4, 1167-1203 (2016). Reviewer: Yujun Zhu (Shijiazhuang) MSC: 37C25 37C29 37C20 37D10 PDF BibTeX XML Cite \textit{N. Gourmelon}, Ergodic Theory Dyn. Syst. 36, No. 4, 1167--1203 (2016; Zbl 1369.37025) Full Text: DOI arXiv OpenURL
Wen, Xiao Structurally stable homoclinic classes. (English) Zbl 1338.37031 Discrete Contin. Dyn. Syst. 36, No. 3, 1693-1707 (2016). Reviewer: Sergei Yu. Pilyugin (St. Petersburg) MSC: 37C29 37D20 37D30 37C20 37D05 PDF BibTeX XML Cite \textit{X. Wen}, Discrete Contin. Dyn. Syst. 36, No. 3, 1693--1707 (2016; Zbl 1338.37031) Full Text: DOI arXiv OpenURL
Osipenko, Georgii Sergeevich; Ampilova, N. On Morse spectrum for homoclinic tangency case. (English) Zbl 1357.37032 Differ. Uravn. Protsessy Upr. 2015, No. 2, 59-71 (2015). MSC: 37C29 37D10 37D25 PDF BibTeX XML Cite \textit{G. S. Osipenko} and \textit{N. Ampilova}, Differ. Uravn. Protsessy Upr. 2015, No. 2, 59--71 (2015; Zbl 1357.37032) Full Text: Link OpenURL
Yamaguchi, Takayuki Finding numerically Newhouse sinks near a homoclinic tangency and investigation of their chaotic transients. (English) Zbl 1359.37085 Hokkaido Math. J. 44, No. 2, 277-312 (2015). MSC: 37D45 37G25 37G35 PDF BibTeX XML Cite \textit{T. Yamaguchi}, Hokkaido Math. J. 44, No. 2, 277--312 (2015; Zbl 1359.37085) Full Text: DOI OpenURL
Arbieto, Alexander; Catalan, Thiago; Santiago, Bruno Mixing-like properties for some generic and robust dynamics. (English) Zbl 1357.37003 Nonlinearity 28, No. 11, 4103-4115 (2015). MSC: 37A25 37A05 PDF BibTeX XML Cite \textit{A. Arbieto} et al., Nonlinearity 28, No. 11, 4103--4115 (2015; Zbl 1357.37003) Full Text: DOI arXiv OpenURL
Asaoka, Masayuki; Fukaya, Tomohiro; Mitsui, Kentaro; Tsukamoto, Masaki Growth of critical points in 1-dimensional lattice systems. (English) Zbl 1361.37016 J. Anal. Math. 127, 47-68 (2015). MSC: 37B20 57R70 PDF BibTeX XML Cite \textit{M. Asaoka} et al., J. Anal. Math. 127, 47--68 (2015; Zbl 1361.37016) Full Text: DOI arXiv OpenURL
Delshams, Amadeu; Gonchenko, Marina; Gonchenko, Sergey On dynamics and bifurcations of area-preserving maps with homoclinic tangencies. (English) Zbl 1357.37075 Nonlinearity 28, No. 9, 3027-3071 (2015); corrigendum ibid. 30, No. 3, C2 (2017). MSC: 37G25 37J10 37C29 37G05 PDF BibTeX XML Cite \textit{A. Delshams} et al., Nonlinearity 28, No. 9, 3027--3071 (2015; Zbl 1357.37075) Full Text: DOI arXiv OpenURL
Crovisier, Sylvain; Pujals, Enrique R. Essential hyperbolicity and homoclinic bifurcations: a dichotomy phenomenon/mechanism for diffeomorphisms. (English) Zbl 1377.37031 Invent. Math. 201, No. 2, 385-517 (2015). Reviewer: Kwok-wai Chung (Hong Kong) MSC: 37C05 37C20 37C29 37C75 37C70 PDF BibTeX XML Cite \textit{S. Crovisier} and \textit{E. R. Pujals}, Invent. Math. 201, No. 2, 385--517 (2015; Zbl 1377.37031) Full Text: DOI arXiv OpenURL
Crovisier, Sylvain; Sambarino, Martin; Yang, Dawei Partial hyperbolicity and homoclinic tangencies. (English) Zbl 1322.37009 J. Eur. Math. Soc. (JEMS) 17, No. 1, 1-49 (2015). Reviewer: Yujun Zhu (Shijiazhuang) MSC: 37C05 37C20 37C29 37C50 37D25 37D30 PDF BibTeX XML Cite \textit{S. Crovisier} et al., J. Eur. Math. Soc. (JEMS) 17, No. 1, 1--49 (2015; Zbl 1322.37009) Full Text: DOI arXiv OpenURL
Crovisier, Sylvain Dynamics of \(C^1\)-diffeomorphisms: global description and prospects for classification. (English) Zbl 1373.37064 Jang, Sun Young (ed.) et al., Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13–21, 2014. Vol. III: Invited lectures. Seoul: KM Kyung Moon Sa (ISBN 978-89-6105-806-3/hbk; 978-89-6105-803-2/set). 571-595 (2014). MSC: 37C20 37C50 37D25 37D30 37C29 37D05 37G25 PDF BibTeX XML Cite \textit{S. Crovisier}, in: Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13--21, 2014. Vol. III: Invited lectures. Seoul: KM Kyung Moon Sa. 571--595 (2014; Zbl 1373.37064) Full Text: arXiv OpenURL
Lyubich, Mikhail Analytic low-dimensional dynamics: from dimension one to two. (English) Zbl 1373.37103 Jang, Sun Young (ed.) et al., Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13–21, 2014. Vol. I: Plenary lectures and ceremonies. Seoul: KM Kyung Moon Sa (ISBN 978-89-6105-804-9/hbk; 978-89-6105-803-2/set). 443-474 (2014). MSC: 37E05 37E20 37E30 37F10 37F25 37F30 37F45 PDF BibTeX XML Cite \textit{M. Lyubich}, in: Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13--21, 2014. Vol. I: Plenary lectures and ceremonies. Seoul: KM Kyung Moon Sa. 443--474 (2014; Zbl 1373.37103) OpenURL
Delshams, Amadeu; Gonchenko, Marina; Gonchenko, Sergey V. On bifurcations of area-preserving and nonorientable maps with quadratic homoclinic tangencies. (English) Zbl 1342.37045 Regul. Chaotic Dyn. 19, No. 6, 702-717 (2014). MSC: 37E30 37G25 37C29 PDF BibTeX XML Cite \textit{A. Delshams} et al., Regul. Chaotic Dyn. 19, No. 6, 702--717 (2014; Zbl 1342.37045) Full Text: DOI arXiv OpenURL
Gonchenko, Sergey V.; Ovsyannikov, Ivan I.; Tatjer, Joan C. Birth of discrete Lorenz attractors at the bifurcations of 3D maps with homoclinic tangencies to saddle points. (English) Zbl 1335.37031 Regul. Chaotic Dyn. 19, No. 4, 495-505 (2014). MSC: 37G35 37G25 37C05 37D45 PDF BibTeX XML Cite \textit{S. V. Gonchenko} et al., Regul. Chaotic Dyn. 19, No. 4, 495--505 (2014; Zbl 1335.37031) Full Text: DOI arXiv OpenURL
Gonchenko, Serey V.; Gordeeva, Olga V.; Lukyanov, Valery I.; Ovsyannikov, Ivan I. On bifurcations of multidimensional diffeomorphisms having a homoclinic tangency to a saddle-node. (English) Zbl 1337.37018 Regul. Chaotic Dyn. 19, No. 4, 461-473 (2014). Reviewer: Carlo Laing (Auckland) MSC: 37C05 34C37 37C29 37G25 PDF BibTeX XML Cite \textit{S. V. Gonchenko} et al., Regul. Chaotic Dyn. 19, No. 4, 461--473 (2014; Zbl 1337.37018) Full Text: DOI arXiv OpenURL
Beyn, Wolf-Jürgen; Hüls, Thorsten Continuation and collapse of homoclinic tangles. (English) Zbl 1320.37036 J. Comput. Dyn. 1, No. 1, 71-109 (2014). MSC: 37M25 37N30 65P20 65P30 37C29 PDF BibTeX XML Cite \textit{W.-J. Beyn} and \textit{T. Hüls}, J. Comput. Dyn. 1, No. 1, 71--109 (2014; Zbl 1320.37036) Full Text: DOI arXiv OpenURL
Grines, E. A.; Pochinka, O. V. Necessary conditions of topological conjugacy for three-dimensional diffeomorphisms with heteroclinic tangencies. (English) Zbl 1370.37033 Din. Sist., Simferopol’ 3(31), No. 3-4, 185-200 (2013). MSC: 37C05 37D05 37C15 37C29 PDF BibTeX XML Cite \textit{E. A. Grines} and \textit{O. V. Pochinka}, Din. Sist., Simferopol' 3(31), No. 3--4, 185--200 (2013; Zbl 1370.37033) OpenURL
Kazakov, Alexey O. Strange attractors and mixed dynamics in the problem of an unbalanced rubber ball rolling on a plane. (English) Zbl 1417.37223 Regul. Chaotic Dyn. 18, No. 5, 508-520 (2013). MSC: 37J60 37G35 37D45 70F25 PDF BibTeX XML Cite \textit{A. O. Kazakov}, Regul. Chaotic Dyn. 18, No. 5, 508--520 (2013; Zbl 1417.37223) Full Text: DOI OpenURL
Gonchenko, S. V.; Gonchenko, A. S.; Ovsyannikov, I. I.; Turaev, D. V. Examples of Lorenz-like attractors in Hénon-like maps. (English) Zbl 1331.37040 Math. Model. Nat. Phenom. 8, No. 5, 48-70 (2013). MSC: 37D45 34D45 37C70 37C05 37G05 37M05 PDF BibTeX XML Cite \textit{S. V. Gonchenko} et al., Math. Model. Nat. Phenom. 8, No. 5, 48--70 (2013; Zbl 1331.37040) Full Text: DOI Link OpenURL
Mitryakova, T. M.; Pochinka, O. V. Realization of cascades on surfaces with finitely many moduli of topological conjugacy. (English. Russian original) Zbl 1287.37013 Math. Notes 93, No. 6, 890-905 (2013); translation from Mat. Zametki 93, No. 6, 902-919 (2013). Reviewer: Lennard Bakker (Provo) MSC: 37C15 37C29 37D05 PDF BibTeX XML Cite \textit{T. M. Mitryakova} and \textit{O. V. Pochinka}, Math. Notes 93, No. 6, 890--905 (2013; Zbl 1287.37013); translation from Mat. Zametki 93, No. 6, 902--919 (2013) Full Text: DOI OpenURL
Kiriki, Shin; Soma, Teruhiko Existence of generic cubic homoclinic tangencies for Hénon maps. (English) Zbl 1366.37092 Ergodic Theory Dyn. Syst. 33, No. 4, 1029-1051 (2013). MSC: 37D45 37C29 37C70 70K44 PDF BibTeX XML Cite \textit{S. Kiriki} and \textit{T. Soma}, Ergodic Theory Dyn. Syst. 33, No. 4, 1029--1051 (2013; Zbl 1366.37092) Full Text: DOI arXiv OpenURL
Bonatti, Ch.; Crovisier, S.; Díaz, L. J.; Gourmelon, N. Internal perturbations of homoclinic classes: non-domination, cycles, and self-replication. (English) Zbl 1303.37008 Ergodic Theory Dyn. Syst. 33, No. 3, 739-776 (2013). Reviewer: Pengfei Zhang (Houston) MSC: 37C29 37C20 37C05 PDF BibTeX XML Cite \textit{Ch. Bonatti} et al., Ergodic Theory Dyn. Syst. 33, No. 3, 739--776 (2013; Zbl 1303.37008) Full Text: DOI arXiv OpenURL
Bonatti, Christian; Díaz, Lorenzo J. Abundance of \(C^{1}\)-robust homoclinic tangencies. (English) Zbl 1300.37013 Trans. Am. Math. Soc. 364, No. 10, 5111-5148 (2012). Reviewer: Matheus Cheque Bortolan (Lima) MSC: 37C05 37C20 37C25 37C29 37C70 37D05 PDF BibTeX XML Cite \textit{C. Bonatti} and \textit{L. J. Díaz}, Trans. Am. Math. Soc. 364, No. 10, 5111--5148 (2012; Zbl 1300.37013) Full Text: DOI arXiv OpenURL
Li, Xiaolong On R-robustly entropy-expansive diffeomorphisms. (English) Zbl 1281.37010 Bull. Braz. Math. Soc. (N.S.) 43, No. 1, 73-98 (2012). Reviewer: Jan Andres (Olomouc) MSC: 37C20 37C29 37D25 37D30 PDF BibTeX XML Cite \textit{X. Li}, Bull. Braz. Math. Soc. (N.S.) 43, No. 1, 73--98 (2012; Zbl 1281.37010) Full Text: DOI OpenURL
Morales, C. A. Purely imaginary eigenvalues from homoclinic tangencies. (English) Zbl 1253.37039 Appl. Math. Lett. 25, No. 11, 2005-2008 (2012). MSC: 37D30 37D20 37C29 PDF BibTeX XML Cite \textit{C. A. Morales}, Appl. Math. Lett. 25, No. 11, 2005--2008 (2012; Zbl 1253.37039) Full Text: DOI OpenURL
Gonchenko, S. V.; Ovsyannikov, I. I.; Turaev, D. On the effect of invisibility of stable periodic orbits at homoclinic bifurcations. (English) Zbl 1244.37036 Physica D 241, No. 13, 1115-1122 (2012). MSC: 37G15 37G25 37C05 PDF BibTeX XML Cite \textit{S. V. Gonchenko} et al., Physica D 241, No. 13, 1115--1122 (2012; Zbl 1244.37036) Full Text: DOI OpenURL
Bonatti, C.; Díaz, L. J.; Kiriki, S. Stabilization of heterodimensional cycles. (English) Zbl 1284.37020 Nonlinearity 25, No. 4, 931-960 (2012). Reviewer: Pengfei Zhang (Amherst) MSC: 37C29 37D20 37D30 PDF BibTeX XML Cite \textit{C. Bonatti} et al., Nonlinearity 25, No. 4, 931--960 (2012; Zbl 1284.37020) Full Text: DOI arXiv OpenURL
Osinga, hinke M.; Rankin, James Two-parameter locus of boundary crisis: mind the gaps! (English) Zbl 1306.37095 Discrete Contin. Dyn. Syst. 2011, Suppl., 1148-1157 (2011). MSC: 37M20 37G25 65P30 PDF BibTeX XML Cite \textit{h. M. Osinga} and \textit{J. Rankin}, Discrete Contin. Dyn. Syst. 2011, 1148--1157 (2011; Zbl 1306.37095) Full Text: Link OpenURL
Shinohara, Katsutoshi On the index problem of \(C^1\)-generic wild homoclinic classes in dimension three. (English) Zbl 1417.37120 Discrete Contin. Dyn. Syst. 31, No. 3, 913-940 (2011). MSC: 37D25 37D30 34D09 37C29 PDF BibTeX XML Cite \textit{K. Shinohara}, Discrete Contin. Dyn. Syst. 31, No. 3, 913--940 (2011; Zbl 1417.37120) Full Text: DOI arXiv OpenURL
Turaev, Dmitry Richness of chaos in the absolute Newhouse domain. (English) Zbl 1262.37016 Bhatia, Rajendra (ed.) et al., Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19–27, 2010. Vol. III: Invited lectures. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency (ISBN 978-981-4324-33-5/hbk; 978-81-85931-08-3/hbk; 978-981-4324-30-4/set; 978-981-4324-35-9/ebook). 1804-1815 (2011). Reviewer: Sergei Yu. Pilyugin (St. Petersburg) MSC: 37C15 37C20 37G25 37E20 37D30 37C70 37-02 PDF BibTeX XML Cite \textit{D. Turaev}, in: Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19--27, 2010. Vol. III: Invited lectures. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency. 1804--1815 (2011; Zbl 1262.37016) Full Text: Link OpenURL
Díaz, Lorenzo J.; Fisher, Todd Symbolic extensions and partially hyperbolic diffeomorphisms. (English) Zbl 1220.37016 Discrete Contin. Dyn. Syst. 29, No. 4, 1419-1441 (2011). Reviewer: Tomas Persson (Lund) MSC: 37D30 37C05 37C20 37B10 PDF BibTeX XML Cite \textit{L. J. Díaz} and \textit{T. Fisher}, Discrete Contin. Dyn. Syst. 29, No. 4, 1419--1441 (2011; Zbl 1220.37016) Full Text: DOI arXiv OpenURL
Crovisier, Sylvain Partial hyperbolicity far from homoclinic bifurcations. (English) Zbl 1215.37018 Adv. Math. 226, No. 1, 673-726 (2011). Reviewer: Dieter Erle (Dortmund) MSC: 37C05 37C20 37C29 37C50 37D25 37D30 PDF BibTeX XML Cite \textit{S. Crovisier}, Adv. Math. 226, No. 1, 673--726 (2011; Zbl 1215.37018) Full Text: DOI arXiv HAL OpenURL
Mitryakova, T. M.; Pochinka, O. V. Necessary and sufficient conditions for the topological conjugacy of surface diffeomorphisms with a finite number of orbits of heteroclinic tangency. (English. Russian original) Zbl 1254.37019 Proc. Steklov Inst. Math. 270, 194-215 (2010); translation from Trudy Mat. Inst. Steklova 270, 198-219 (2010). Reviewer: Collin Bleak (St. Andrews) MSC: 37C15 37E30 37C29 37D15 54H20 PDF BibTeX XML Cite \textit{T. M. Mitryakova} and \textit{O. V. Pochinka}, Proc. Steklov Inst. Math. 270, 194--215 (2010; Zbl 1254.37019); translation from Trudy Mat. Inst. Steklova 270, 198--219 (2010) Full Text: DOI OpenURL
Gonchenko, S. V.; Gonchenko, V. S.; Shilnikov, L. P. On a homoclinic origin of Hénon-like maps. (English) Zbl 1203.37035 Regul. Chaotic Dyn. 15, No. 4-5, 462-481 (2010). MSC: 37C29 37G25 37D45 PDF BibTeX XML Cite \textit{S. V. Gonchenko} et al., Regul. Chaotic Dyn. 15, No. 4--5, 462--481 (2010; Zbl 1203.37035) Full Text: DOI OpenURL
Lerman, L. Breaking hyperbolicity for smooth symplectic toral diffeomorphisms. (English) Zbl 1203.37036 Regul. Chaotic Dyn. 15, No. 2-3, 194-209 (2010). MSC: 37C29 37D20 37D25 37G25 PDF BibTeX XML Cite \textit{L. Lerman}, Regul. Chaotic Dyn. 15, No. 2--3, 194--209 (2010; Zbl 1203.37036) Full Text: DOI OpenURL
Gelfreich, V.; Turaev, D. Universal dynamics in a neighborhood of a generic elliptic periodic point. (English) Zbl 1203.37100 Regul. Chaotic Dyn. 15, No. 2-3, 159-164 (2010). MSC: 37J40 37J10 37C15 37C20 PDF BibTeX XML Cite \textit{V. Gelfreich} and \textit{D. Turaev}, Regul. Chaotic Dyn. 15, No. 2--3, 159--164 (2010; Zbl 1203.37100) Full Text: DOI OpenURL
Moreira, Carlos Gustavo; Yoccoz, Jean-Christophe Stable homoclinic tangencies for hyperbolic sets of large fractal dimension. (Tangences homoclines stables pour des ensembles hyperboliques de grande dimension fractale.) (French) Zbl 1200.37020 Ann. Sci. Éc. Norm. Supér. (4) 43, No. 1, 1-68 (2010). Reviewer: Adina Luminiţa Sasu (Timişoara) MSC: 37D05 37D20 37E30 PDF BibTeX XML Cite \textit{C. G. Moreira} and \textit{J.-C. Yoccoz}, Ann. Sci. Éc. Norm. Supér. (4) 43, No. 1, 1--68 (2010; Zbl 1200.37020) Full Text: DOI Link OpenURL
Gourmelon, Nikolaz Generation of homoclinic tangencies by \(C^1\)-perturbations. (English) Zbl 1178.37025 Discrete Contin. Dyn. Syst. 26, No. 1, 1-42 (2010). MSC: 37C20 37C29 37G25 37D30 PDF BibTeX XML Cite \textit{N. Gourmelon}, Discrete Contin. Dyn. Syst. 26, No. 1, 1--42 (2010; Zbl 1178.37025) Full Text: DOI OpenURL
Gonchenko, S. V.; Shilnikov, L. P.; Turaev, D. V. On global bifurcations in three-dimensional diffeomorphisms leading to wild Lorenz-like attractors. (English) Zbl 1229.37041 Regul. Chaotic Dyn. 14, No. 1, 137-147 (2009). MSC: 37G25 37C29 37D45 37J45 PDF BibTeX XML Cite \textit{S. V. Gonchenko} et al., Regul. Chaotic Dyn. 14, No. 1, 137--147 (2009; Zbl 1229.37041) Full Text: DOI OpenURL
Gonchenko, M. S.; Gonchenko, S. V. On cascades of elliptic periodic points in two-dimensional symplectic maps with homoclinic tangencies. (English) Zbl 1229.37054 Regul. Chaotic Dyn. 14, No. 1, 116-136 (2009). MSC: 37J20 37G25 37D45 37J10 PDF BibTeX XML Cite \textit{M. S. Gonchenko} and \textit{S. V. Gonchenko}, Regul. Chaotic Dyn. 14, No. 1, 116--136 (2009; Zbl 1229.37054) Full Text: DOI OpenURL
Wilczak, Daniel; Zgliczyński, Piotr Computer assisted proof of the existence of homoclinic tangency for the Hénon map and for the forced damped pendulum. (English) Zbl 1187.37115 SIAM J. Appl. Dyn. Syst. 8, No. 4, 1632-1663 (2009). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37M20 37N30 34C37 37B30 PDF BibTeX XML Cite \textit{D. Wilczak} and \textit{P. Zgliczyński}, SIAM J. Appl. Dyn. Syst. 8, No. 4, 1632--1663 (2009; Zbl 1187.37115) Full Text: DOI arXiv OpenURL
Champneys, Alan R.; Kirk, Vivien; Knobloch, Edgar; Oldeman, Bart E.; Rademacher, J. D. M. Unfolding a tangent equilibrium-to-periodic heteroclinic cycle. (English) Zbl 1187.34056 SIAM J. Appl. Dyn. Syst. 8, No. 3, 1261-1304 (2009). Reviewer: Weinian Zhang (Sichuan) MSC: 34C37 34C23 37C29 37G20 34C45 PDF BibTeX XML Cite \textit{A. R. Champneys} et al., SIAM J. Appl. Dyn. Syst. 8, No. 3, 1261--1304 (2009; Zbl 1187.34056) Full Text: DOI OpenURL
Morales, C. Another dichotomy for surface diffeomorphisms. (English) Zbl 1173.37030 Proc. Am. Math. Soc. 137, No. 8, 2639-2644 (2009). Reviewer: Angela Slavova (Sofia) MSC: 37D30 37E30 PDF BibTeX XML Cite \textit{C. Morales}, Proc. Am. Math. Soc. 137, No. 8, 2639--2644 (2009; Zbl 1173.37030) Full Text: DOI OpenURL
Pujals, Enrique R.; Sambarino, Martín On the dynamics of dominated splitting. (English) Zbl 1178.37032 Ann. Math. (2) 169, No. 3, 675-740 (2009). Reviewer: Eugene Ershov (St. Petersburg) MSC: 37D30 37C29 PDF BibTeX XML Cite \textit{E. R. Pujals} and \textit{M. Sambarino}, Ann. Math. (2) 169, No. 3, 675--740 (2009; Zbl 1178.37032) Full Text: DOI Link OpenURL
Pacifico, María José; Vieitez, José L. Entropy-expansiveness and domination for surface diffeomorphisms. (English) Zbl 1151.37032 Rev. Mat. Complut. 21, No. 2, 293-317 (2008). MSC: 37D30 37C29 37E30 PDF BibTeX XML Cite \textit{M. J. Pacifico} and \textit{J. L. Vieitez}, Rev. Mat. Complut. 21, No. 2, 293--317 (2008; Zbl 1151.37032) Full Text: DOI EuDML OpenURL
Leal, Bladismir High dimension diffeomorphisms exhibiting infinitely many strange attractors. (English) Zbl 1217.37023 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 25, No. 3, 587-607 (2008). MSC: 37C70 PDF BibTeX XML Cite \textit{B. Leal}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 25, No. 3, 587--607 (2008; Zbl 1217.37023) Full Text: DOI EuDML OpenURL
Kiriki, Shin; Soma, Teruhiko Persistent antimonotonic bifurcations and strange attractors for cubic homoclinic tangencies. (English) Zbl 1167.37016 Nonlinearity 21, No. 5, 1105-1140 (2008). Reviewer: Kwok-wai Chung (Kowloon, Hong Kong) MSC: 37C29 37D45 37D20 37E30 PDF BibTeX XML Cite \textit{S. Kiriki} and \textit{T. Soma}, Nonlinearity 21, No. 5, 1105--1140 (2008; Zbl 1167.37016) Full Text: DOI arXiv OpenURL
Asaoka, Masayuki Hyperbolic sets exhibiting \(C^1\)-persistent homoclinic tangency for higher dimensions. (English) Zbl 1131.37028 Proc. Am. Math. Soc. 136, No. 2, 677-686 (2008); erratum ibid. 138, No. 4, 1533-1533 (2010). Reviewer: Yuri V. Rogovchenko (Kalmar) MSC: 37C29 37B10 37C20 37D10 PDF BibTeX XML Cite \textit{M. Asaoka}, Proc. Am. Math. Soc. 136, No. 2, 677--686 (2008; Zbl 1131.37028) Full Text: DOI OpenURL
Gonchenko, S. V.; Gonchenko, V. S.; Tatjer, J. C. Bifurcations of three-dimensional diffeomorphisms with non-simple quadratic homoclinic tangencies and generalized Hénon maps. (English) Zbl 1229.37040 Regul. Chaotic Dyn. 12, No. 3, 233-266 (2007). MSC: 37G15 37G25 37C05 37G35 PDF BibTeX XML Cite \textit{S. V. Gonchenko} et al., Regul. Chaotic Dyn. 12, No. 3, 233--266 (2007; Zbl 1229.37040) Full Text: DOI OpenURL
Pujals, Enrique R. From hyperbolicity to dominated splitting. (English) Zbl 1147.37018 Forni, Giovanni (ed.) et al., Partially hyperbolic dynamics, laminations, and Teichmüller flow. Selected papers of the workshop, Toronto, Ontario, Canada, January 2006. Providence, RI: American Mathematical Society (AMS); Toronto: The Fields Institute for Research in Mathematical Sciences (ISBN 978-0-8218-4274-4/hbk). Fields Institute Communications 51, 89-102 (2007). Reviewer: Kazuhiro Sakai (Utsunomiya) MSC: 37D30 37C05 37D20 37D40 37D50 PDF BibTeX XML Cite \textit{E. R. Pujals}, Fields Inst. Commun. 51, 89--102 (2007; Zbl 1147.37018) OpenURL
Díaz, Lorenzo J. How to put a stop to domination once and for all (and what comes afterwards). (English) Zbl 1144.37005 Forni, Giovanni (ed.) et al., Partially hyperbolic dynamics, laminations, and Teichmüller flow. Selected papers of the workshop, Toronto, Ontario, Canada, January 2006. Providence, RI: American Mathematical Society (AMS); Toronto: The Fields Institute for Research in Mathematical Sciences (ISBN 978-0-8218-4274-4/hbk). Fields Institute Communications 51, 3-33 (2007). Reviewer: Christian Pötzsche (München) MSC: 37C05 37C20 37C29 37D30 37C35 37D20 37G20 PDF BibTeX XML Cite \textit{L. J. Díaz}, Fields Inst. Commun. 51, 3--33 (2007; Zbl 1144.37005) OpenURL
Liang, Chao; Liu, Geng; Sun, Wen Xiang Equivalent conditions of dominated splitting for volume-preserving diffeomorphisms. (English) Zbl 1129.37011 Acta Math. Sin., Engl. Ser. 23, No. 9, 1563-1576 (2007). Reviewer: Sergei Yu. Pilyugin (St. Petersburg) MSC: 37D30 PDF BibTeX XML Cite \textit{C. Liang} et al., Acta Math. Sin., Engl. Ser. 23, No. 9, 1563--1576 (2007; Zbl 1129.37011) Full Text: DOI OpenURL
Bonatti, Christian; Gan, Shaobo; Wen, Lan On the existence of non-trivial homoclinic classes. (English) Zbl 1128.37021 Ergodic Theory Dyn. Syst. 27, No. 5, 1473-1508 (2007). Reviewer: Kazuhiro Sakai (Utsunomiya) MSC: 37D30 37C50 37C29 37C70 37D15 37B20 PDF BibTeX XML Cite \textit{C. Bonatti} et al., Ergodic Theory Dyn. Syst. 27, No. 5, 1473--1508 (2007; Zbl 1128.37021) Full Text: DOI OpenURL
de Carvalho, Maria Pires Persistence of Bowen-Ruelle-Sinai measures. (English) Zbl 1125.37003 Discrete Contin. Dyn. Syst. 17, No. 1, 213-221 (2007). Reviewer: Thomas Ward (Norwich) MSC: 37A35 PDF BibTeX XML Cite \textit{M. P. de Carvalho}, Discrete Contin. Dyn. Syst. 17, No. 1, 213--221 (2007; Zbl 1125.37003) Full Text: DOI OpenURL
Gonchenko, Sergey; Turaev, Dmitry; Shilnikov, Leonid Homoclinic tangencies of arbitrarily high orders in conservative and dissipative two-dimensional maps. (English) Zbl 1132.37023 Nonlinearity 20, No. 2, 241-275 (2007). Reviewer: Vasile Marinca (Timişoara) MSC: 37G25 37C20 37J10 37C15 37E20 PDF BibTeX XML Cite \textit{S. Gonchenko} et al., Nonlinearity 20, No. 2, 241--275 (2007; Zbl 1132.37023) Full Text: DOI Link OpenURL
Gorodetski, A.; Kaloshin, V. How often surface diffeomorphisms have infinitely many sinks and hyperbolicity of periodic points near a homoclinic tangency. (English) Zbl 1110.37034 Adv. Math. 208, No. 2, 710-797 (2007). Reviewer: Alois Klíč (Praha) MSC: 37E30 37D25 37C25 PDF BibTeX XML Cite \textit{A. Gorodetski} and \textit{V. Kaloshin}, Adv. Math. 208, No. 2, 710--797 (2007; Zbl 1110.37034) Full Text: DOI OpenURL
Arai, Zin; Mischaikow, Konstantin Rigorous computations of homoclinic tangencies. (English) Zbl 1210.37008 SIAM J. Appl. Dyn. Syst. 5, No. 2, 280-292 (2006). MSC: 37B30 37G25 37M20 PDF BibTeX XML Cite \textit{Z. Arai} and \textit{K. Mischaikow}, SIAM J. Appl. Dyn. Syst. 5, No. 2, 280--292 (2006; Zbl 1210.37008) Full Text: DOI Link OpenURL
Osinga, Hinke M. Boundary crisis bifurcation in two parameters. (English) Zbl 1108.37029 J. Difference Equ. Appl. 12, No. 10, 997-1008 (2006). MSC: 37D45 37G25 34C37 PDF BibTeX XML Cite \textit{H. M. Osinga}, J. Difference Equ. Appl. 12, No. 10, 997--1008 (2006; Zbl 1108.37029) Full Text: DOI Link OpenURL
Knobloch, J. Chaotic behaviour near non-transversal homoclinic points with quadratic tangency. (English) Zbl 1126.39012 J. Difference Equ. Appl. 12, No. 10, 1037-1056 (2006). Reviewer: Eduardo Liz (Vigo) MSC: 39A12 37G25 37B10 37C05 37C29 37D45 PDF BibTeX XML Cite \textit{J. Knobloch}, J. Difference Equ. Appl. 12, No. 10, 1037--1056 (2006; Zbl 1126.39012) Full Text: DOI OpenURL
Bedford, Eric; Smillie, John Real polynomial diffeomorphisms with maximal entropy. II: Small Jacobian. (English) Zbl 1135.37015 Ergodic Theory Dyn. Syst. 26, No. 5, 1259-1283 (2006). Reviewer: Andrzej Pelczar (Kraków) MSC: 37E30 37B40 37C05 37C29 37G25 PDF BibTeX XML Cite \textit{E. Bedford} and \textit{J. Smillie}, Ergodic Theory Dyn. Syst. 26, No. 5, 1259--1283 (2006; Zbl 1135.37015) Full Text: DOI arXiv OpenURL
Gonchenko, S. V.; Turaev, D. V.; Shil’nikov, L. P. On dynamic properties of diffeomorphisms with homoclinic tangency. (English) Zbl 1076.37052 J. Math. Sci., New York 126, No. 4, 1317-1343 (2005). Reviewer: Constantin Udrişte (Bucureşti) MSC: 37J45 37C25 37C29 37J10 37G25 PDF BibTeX XML Cite \textit{S. V. Gonchenko} et al., J. Math. Sci., New York 126, No. 4, 1317--1343 (2005; Zbl 1076.37052) Full Text: DOI OpenURL
Rayskin, Victoria Homoclinic tangencies in \(\mathbb{R}^n\). (English) Zbl 1072.37013 Discrete Contin. Dyn. Syst. 12, No. 3, 465-480 (2005). Reviewer: Alois Klíč (Praha) MSC: 37B10 37D10 37C15 37C05 PDF BibTeX XML Cite \textit{V. Rayskin}, Discrete Contin. Dyn. Syst. 12, No. 3, 465--480 (2005; Zbl 1072.37013) Full Text: DOI OpenURL
Wen, Lan Generic diffeomorphisms away from homoclinic tangencies and heterodimensional cycles. (English) Zbl 1099.37024 Bull. Braz. Math. Soc. (N.S.) 35, No. 3, 419-452 (2004). Reviewer: Messoud A. Efendiev (Berlin) MSC: 37D30 37C20 37G25 PDF BibTeX XML Cite \textit{L. Wen}, Bull. Braz. Math. Soc. (N.S.) 35, No. 3, 419--452 (2004; Zbl 1099.37024) Full Text: DOI OpenURL
Sieber, J.; Krauskopf, B. Complex balancing motions of an inverted pendulum subject to delayed feedback control. (English) Zbl 1070.34105 Physica D 197, No. 3-4, 332-345 (2004). Reviewer: Vyacheslav I. Maksimov (Ekaterinburg) MSC: 34K35 34K23 93C23 70K44 PDF BibTeX XML Cite \textit{J. Sieber} and \textit{B. Krauskopf}, Physica D 197, No. 3--4, 332--345 (2004; Zbl 1070.34105) Full Text: DOI Link OpenURL