Barrientos, Pablo G.; Rojas, Juan David Typical coexistence of infinitely many strange attractors. (English) Zbl 07643502 Math. Z. 303, No. 2, Paper No. 34, 14 p. (2023). MSC: 37Cxx 37Dxx 37Gxx PDF BibTeX XML Cite \textit{P. G. Barrientos} and \textit{J. D. Rojas}, Math. Z. 303, No. 2, Paper No. 34, 14 p. (2023; Zbl 07643502) Full Text: DOI arXiv OpenURL
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
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
Cao, Yongluo; Mi, Zeya; Yang, Dawei On the abundance of Sinai-Ruelle-Bowen measures. (English) Zbl 1498.37034 Commun. Math. Phys. 391, No. 3, 1271-1306 (2022). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37C40 37C20 37D30 37D25 PDF BibTeX XML Cite \textit{Y. Cao} et al., Commun. Math. Phys. 391, No. 3, 1271--1306 (2022; Zbl 1498.37034) Full Text: DOI OpenURL
Asaoka, Masayuki Stable intersection of Cantor sets in higher dimension and robust homoclinic tangency of the largest codimension. (English) Zbl 1490.37042 Trans. Am. Math. Soc. 375, No. 2, 873-908 (2022). MSC: 37D05 37C29 37B35 28A80 PDF BibTeX XML Cite \textit{M. Asaoka}, Trans. Am. Math. Soc. 375, No. 2, 873--908 (2022; Zbl 1490.37042) Full Text: DOI arXiv OpenURL
Gonchenko, Sergey; Kazakov, Alexey; Turaev, Dmitry Wild pseudohyperbolic attractor in a four-dimensional Lorenz system. (English) Zbl 1472.34106 Nonlinearity 34, No. 4, 2018-2047 (2021). Reviewer: Eduard Musafirov (Grodno) MSC: 34D45 34A34 34C28 37D45 PDF BibTeX XML Cite \textit{S. Gonchenko} et al., Nonlinearity 34, No. 4, 2018--2047 (2021; Zbl 1472.34106) Full Text: DOI arXiv OpenURL
Gonchenko, Sergey; Gonchenko, Alexander; Kazakov, Alexey; Samylina, Evgeniya On discrete Lorenz-like attractors. (English) Zbl 1465.37047 Chaos 31, No. 2, 023117, 20 p. (2021). MSC: 37D45 37C20 PDF BibTeX XML Cite \textit{S. Gonchenko} et al., Chaos 31, No. 2, 023117, 20 p. (2021; Zbl 1465.37047) Full Text: DOI OpenURL
Gonchenko, Marina; Gonchenko, Sergey; Safonov, Klim Reversible perturbations of conservative Hénon-like maps. (English) Zbl 07314934 Discrete Contin. Dyn. Syst. 41, No. 4, 1875-1895 (2021). MSC: 37G25 37G40 37C70 PDF BibTeX XML Cite \textit{M. Gonchenko} et al., Discrete Contin. Dyn. Syst. 41, No. 4, 1875--1895 (2021; Zbl 07314934) Full Text: DOI arXiv OpenURL
Barrientos, Pablo G.; Raibekas, Artem Robust degenerate unfoldings of cycles and tangencies. (English) Zbl 1460.37028 J. Dyn. Differ. Equations 33, No. 1, 177-209 (2021). MSC: 37D05 37C29 37G20 PDF BibTeX XML Cite \textit{P. G. Barrientos} and \textit{A. Raibekas}, J. Dyn. Differ. Equations 33, No. 1, 177--209 (2021; Zbl 1460.37028) Full Text: DOI arXiv OpenURL
Gonchenko, S. V.; Gonchenko, A. S.; Kazakov, A. O. Three types of attractors and mixed dynamics of nonholonomic models of rigid body motion. (English. Russian original) Zbl 1473.37078 Proc. Steklov Inst. Math. 308, 125-140 (2020); translation from Tr. Mat. Inst. Steklova 308, 135-151 (2020). MSC: 37J60 37C70 70F25 70E18 PDF BibTeX XML Cite \textit{S. V. Gonchenko} et al., Proc. Steklov Inst. Math. 308, 125--140 (2020; Zbl 1473.37078); translation from Tr. Mat. Inst. Steklova 308, 135--151 (2020) Full Text: DOI 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
Biebler, Sébastien Newhouse phenomenon for automorphisms of low degree in \(\mathbb{C}^3\). (English) Zbl 1437.37060 Adv. Math. 361, Article ID 106952, 39 p. (2020). MSC: 37F80 37F15 37F44 37D05 PDF BibTeX XML Cite \textit{S. Biebler}, Adv. Math. 361, Article ID 106952, 39 p. (2020; Zbl 1437.37060) Full Text: DOI OpenURL
Díaz, Lorenzo J.; Pérez, Sebastián A. Blender-horseshoes in center-unstable Hénon-like families. (English) Zbl 07217975 Pacifico, Maria José (ed.) et al., New trends in one-dimensional dynamics. Proceedings of the meeting on new trends in one-dimensional dynamics, IMPA, Rio de Janeiro, Brasil, November 14–17, 2016. In honour of Welington de Melo’s 70th birthday. Cham: Springer. Springer Proc. Math. Stat. 285, 137-163 (2019). MSC: 37D05 37D15 37D10 37D25 PDF BibTeX XML Cite \textit{L. J. Díaz} and \textit{S. A. Pérez}, Springer Proc. Math. Stat. 285, 137--163 (2019; Zbl 07217975) Full Text: DOI arXiv OpenURL
Tomizawa, Shuntaro Hopf-homoclinic bifurcations and heterodimensional cycles. (English) Zbl 1436.37026 Tokyo J. Math. 42, No. 2, 449-469 (2019). MSC: 37C05 37C20 37C29 PDF BibTeX XML Cite \textit{S. Tomizawa}, Tokyo J. Math. 42, No. 2, 449--469 (2019; Zbl 1436.37026) Full Text: DOI Euclid OpenURL
Gonchenko, A. S.; Gonchenko, Sergey V.; Kazakov, A. O.; Kozlov, A. D. Elements of contemporary theory of dynamical chaos: a tutorial. I: Pseudohyperbolic attractors. (English) Zbl 1468.37002 Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 11, Article ID 1830036, 29 p. (2018). Reviewer: Angela Slavova (Sofia) MSC: 37-02 34D45 37C70 37G10 37G15 37G35 37M22 37M20 PDF BibTeX XML Cite \textit{A. S. Gonchenko} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 11, Article ID 1830036, 29 p. (2018; Zbl 1468.37002) Full Text: DOI arXiv 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
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 arXiv OpenURL
Ilyashenko, Yu.; Shilin, I. Attractors and skew products. (English) Zbl 1394.37046 Katok, Anatole (ed.) et al., Modern theory of dynamical systems. A tribute to Dmitry Victorovich Anosov. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2560-9/pbk; 978-1-4704-4119-7/ebook). Contemporary Mathematics 692, 155-175 (2017). Reviewer: Matheus Cheque Bortolan (Lima) MSC: 37C70 37C05 PDF BibTeX XML Cite \textit{Yu. Ilyashenko} and \textit{I. Shilin}, Contemp. Math. 692, 155--175 (2017; Zbl 1394.37046) 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
Ovsyannikov, I. I.; Turaev, D. V. Analytic proof of the existence of the Lorenz attractor in the extended Lorenz model. (English) Zbl 1367.34051 Nonlinearity 30, No. 1, 115-137 (2017). Reviewer: Gheorghe Tigan (Timisoara) MSC: 34C37 34C20 37D45 37C29 34D45 PDF BibTeX XML Cite \textit{I. I. Ovsyannikov} and \textit{D. V. Turaev}, Nonlinearity 30, No. 1, 115--137 (2017; Zbl 1367.34051) 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
Bonatti, Christian; Crovisier, Sylvain Center manifolds for partially hyperbolic sets without strong unstable connections. (English) Zbl 1362.37069 J. Inst. Math. Jussieu 15, No. 4, 785-828 (2016). MSC: 37D10 37D30 37C75 PDF BibTeX XML Cite \textit{C. Bonatti} and \textit{S. Crovisier}, J. Inst. Math. Jussieu 15, No. 4, 785--828 (2016; Zbl 1362.37069) Full Text: DOI arXiv 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
Berger, Pierre Generic family with robustly infinitely many sinks. (English) Zbl 1365.37024 Invent. Math. 205, No. 1, 121-172 (2016); correction ibid. 218, No. 2, 649-656 (2019). Reviewer: Christian Fenske (Gießen) MSC: 37C20 37C05 37C25 57S05 PDF BibTeX XML Cite \textit{P. Berger}, Invent. Math. 205, No. 1, 121--172 (2016; Zbl 1365.37024) Full Text: DOI arXiv OpenURL
Horita, Vanderlei; Muniz, Nivaldo; Sabini, Paulo Rogério Non-periodic bifurcations for surface diffeomorphisms. (English) Zbl 1352.37151 Trans. Am. Math. Soc. 367, No. 12, 8279-8300 (2015). MSC: 37G25 37D25 37G35 37E30 37C05 PDF BibTeX XML Cite \textit{V. Horita} et al., Trans. Am. Math. Soc. 367, No. 12, 8279--8300 (2015; Zbl 1352.37151) Full Text: DOI arXiv Link 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
Turaev, Dmitry Maps close to identity and universal maps in the Newhouse domain. (English) Zbl 1347.37038 Commun. Math. Phys. 335, No. 3, 1235-1277 (2015). MSC: 37C05 37A05 PDF BibTeX XML Cite \textit{D. Turaev}, Commun. Math. Phys. 335, No. 3, 1235--1277 (2015; Zbl 1347.37038) Full Text: DOI arXiv OpenURL
Pisarchik, Alexander N.; Feudel, Ulrike Control of multistability. (English) Zbl 1357.34105 Phys. Rep. 540, No. 4, 167-218 (2014). MSC: 34H10 37D45 37G35 78A60 37L15 37L30 PDF BibTeX XML Cite \textit{A. N. Pisarchik} and \textit{U. Feudel}, Phys. Rep. 540, No. 4, 167--218 (2014; Zbl 1357.34105) Full Text: DOI OpenURL
Potrie, Rafael Wild Milnor attractors accumulated by lower-dimensional dynamics. (English) Zbl 1351.37060 Ergodic Theory Dyn. Syst. 34, No. 1, 236-262 (2014). MSC: 37B20 37C40 37B25 37A20 37A25 PDF BibTeX XML Cite \textit{R. Potrie}, Ergodic Theory Dyn. Syst. 34, No. 1, 236--262 (2014; Zbl 1351.37060) Full Text: DOI arXiv OpenURL
Pumariño, Antonio; Rodríguez, José Ángel; Tatjer, Joan Carles; Vigil, Enrique Expanding Baker maps as models for the dynamics emerging from 3D homoclinic bifurcations. (English) Zbl 1291.37034 Discrete Contin. Dyn. Syst., Ser. B 19, No. 2, 523-541 (2014). Reviewer: Adriana Buică (Cluj-Napoca) MSC: 37C70 37D45 37G35 PDF BibTeX XML Cite \textit{A. Pumariño} et al., Discrete Contin. Dyn. Syst., Ser. B 19, No. 2, 523--541 (2014; Zbl 1291.37034) Full Text: DOI OpenURL
Gonchenko, Alexander S.; Gonchenko, Sergey V.; Kazakov, Alexey O. Richness of chaotic dynamics in nonholonomic models of a Celtic stone. (English) Zbl 1417.37222 Regul. Chaotic Dyn. 18, No. 5, 521-538 (2013). MSC: 37J60 37D45 37G35 70F25 PDF BibTeX XML Cite \textit{A. S. Gonchenko} et al., Regul. Chaotic Dyn. 18, No. 5, 521--538 (2013; Zbl 1417.37222) Full Text: DOI 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; Li, Ming; Yang, Dawei On the existence of attractors. (English) Zbl 1272.37019 Trans. Am. Math. Soc. 365, No. 3, 1369-1391 (2013). Reviewer: Piotr Oprocha (Kraków) MSC: 37C20 37C05 37C10 PDF BibTeX XML Cite \textit{C. Bonatti} et al., Trans. Am. Math. Soc. 365, No. 3, 1369--1391 (2013; Zbl 1272.37019) 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
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
Wang, Qiudong; Ott, William Dissipative homoclinic loops of two-dimensional maps and strange attractors with one direction of instability. (English) Zbl 1229.37029 Commun. Pure Appl. Math. 64, No. 11, 1439-1496 (2011). MSC: 37D45 37C10 PDF BibTeX XML Cite \textit{Q. Wang} and \textit{W. Ott}, Commun. Pure Appl. Math. 64, No. 11, 1439--1496 (2011; Zbl 1229.37029) Full Text: DOI arXiv OpenURL
Yang, Jiagang Newhouse phenomenon and homoclinic classes. (English) Zbl 1276.37032 Ergodic Theory Dyn. Syst. 31, No. 5, 1537-1562 (2011). MSC: 37E30 37C29 37D20 PDF BibTeX XML Cite \textit{J. Yang}, Ergodic Theory Dyn. Syst. 31, No. 5, 1537--1562 (2011; Zbl 1276.37032) Full Text: DOI arXiv OpenURL
Bonatti, C. Towards a global view of dynamical systems, for the \(C^{1}\)-topology. (English) Zbl 1256.37006 Ergodic Theory Dyn. Syst. 31, No. 4, 959-993 (2011). MSC: 37C05 37C20 37D25 37C29 PDF BibTeX XML Cite \textit{C. Bonatti}, Ergodic Theory Dyn. Syst. 31, No. 4, 959--993 (2011; Zbl 1256.37006) 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
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
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 OpenURL
Turaev, D. V.; Shil’nikov, L. P. Pseudohyperbolicity and the problem on periodic perturbations of Lorenz-type attractors. (English. Russian original) Zbl 1157.37022 Dokl. Math. 77, No. 1, 17-21 (2008); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 418, No. 1, 23-27 (2008). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 37L30 35B41 PDF BibTeX XML Cite \textit{D. V. Turaev} and \textit{L. P. Shil'nikov}, Dokl. Math. 77, No. 1, 17--21 (2008; Zbl 1157.37022); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 418, No. 1, 23--27 (2008) Full Text: DOI 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
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
Crovisier, Sylvain Periodic orbits and chain-transitive sets of \(C^1\)-diffeomorphisms. (English) Zbl 1226.37007 Publ. Math., Inst. Hautes Étud. Sci. 104, 87-141 (2006). MSC: 37C25 37C50 37C05 PDF BibTeX XML Cite \textit{S. Crovisier}, Publ. Math., Inst. Hautes Étud. Sci. 104, 87--141 (2006; Zbl 1226.37007) Full Text: DOI Numdam EuDML OpenURL
Tang, Yun; Yang, Fenghong; Chen, Guanrong; Zhou, Tianshou Classification of homoclinic tangencies for periodically perturbed systems. (English) Zbl 1083.37043 Chaos Solitons Fractals 28, No. 1, 76-89 (2006). MSC: 37G25 34C23 58K40 PDF BibTeX XML Cite \textit{Y. Tang} et al., Chaos Solitons Fractals 28, No. 1, 76--89 (2006; Zbl 1083.37043) Full Text: DOI OpenURL
Vilela Mendes, R. Tools for network dynamics. (English) Zbl 1089.37017 Int. J. Bifurcation Chaos Appl. Sci. Eng. 15, No. 4, 1185-1213 (2005). MSC: 37C10 37N25 92B20 37C40 34D20 34C28 PDF BibTeX XML Cite \textit{R. Vilela Mendes}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 15, No. 4, 1185--1213 (2005; Zbl 1089.37017) 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
Palis, J. A global perspective for non-conservative dynamics. (English) Zbl 1143.37016 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 22, No. 4, 485-507 (2005). Reviewer: Messoud A. Efendiev (Berlin) MSC: 37C20 37C29 37C40 37C70 37D45 PDF BibTeX XML Cite \textit{J. Palis}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 22, No. 4, 485--507 (2005; Zbl 1143.37016) Full Text: DOI Numdam Numdam EuDML OpenURL
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 OpenURL
Araújo, Vítor Attractors and time averages for random maps. (English) Zbl 0974.37036 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 17, No. 3, 307-369 (2000). Reviewer: Guy Jumarie (Montréal) MSC: 37H20 37D45 37C70 PDF BibTeX XML Cite \textit{V. Araújo}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 17, No. 3, 307--369 (2000; Zbl 0974.37036) Full Text: DOI arXiv Numdam EuDML OpenURL
Díaz, Lorenzo J.; Pujals, Enrique R.; Ures, Raúl Partial hyperbolicity and robust transitivity. (English) Zbl 0987.37020 Acta Math. 183, No. 1, 1-43 (1999). Reviewer: Messoud Efendiev (Berlin) MSC: 37D30 37C20 PDF BibTeX XML Cite \textit{L. J. Díaz} et al., Acta Math. 183, No. 1, 1--43 (1999; Zbl 0987.37020) Full Text: DOI OpenURL
Bonatti, Christian; Díaz, Lorenzo Heteroclinic connections and genericity of infinitely many sinks and sources. (Connexions hétéroclines et généricité d’une infinité de puits et de sources.) (French) Zbl 0944.37012 Ann. Sci. Éc. Norm. Supér. (4) 32, No. 1, 135-150 (1999). MSC: 37D45 37J45 PDF BibTeX XML Cite \textit{C. Bonatti} and \textit{L. Díaz}, Ann. Sci. Éc. Norm. Supér. (4) 32, No. 1, 135--150 (1999; Zbl 0944.37012) Full Text: DOI Numdam OpenURL
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 OpenURL
Gonchenko, S. V.; Shil’nikov, L. P.; Turaev, D. V. Quasiattractors and homoclinic tangencies. (English) Zbl 0889.58056 Comput. Math. Appl. 34, No. 2-4, 195-227 (1997). MSC: 37G99 37C70 PDF BibTeX XML Cite \textit{S. V. Gonchenko} et al., Comput. Math. Appl. 34, No. 2--4, 195--227 (1997; Zbl 0889.58056) Full Text: DOI OpenURL
Shil’nikov, L. P.; Turaev, D. V. Simple bifurcations leading to hyperbolic attractors. (English) Zbl 0889.58057 Comput. Math. Appl. 34, No. 2-4, 173-193 (1997). MSC: 37G99 37D99 PDF BibTeX XML Cite \textit{L. P. Shil'nikov} and \textit{D. V. Turaev}, Comput. Math. Appl. 34, No. 2--4, 173--193 (1997; Zbl 0889.58057) Full Text: DOI OpenURL
Romero, Neptalí Persistence of homoclinic tangencies in higher dimensions. (English) Zbl 0833.58020 Ergodic Theory Dyn. Syst. 15, No. 4, 735-757 (1995). Reviewer: S.Nenov (Sofia) MSC: 37B99 37J40 PDF BibTeX XML Cite \textit{N. Romero}, Ergodic Theory Dyn. Syst. 15, No. 4, 735--757 (1995; Zbl 0833.58020) Full Text: DOI OpenURL
Díaz, Lorenzo J.; Ures, Raúl Persistent homoclinic tangencies and the unfolding of cycles. (English) Zbl 0834.58034 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 11, No. 6, 643-659 (1994). MSC: 37G99 37C75 PDF BibTeX XML Cite \textit{L. J. Díaz} and \textit{R. Ures}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 11, No. 6, 643--659 (1994; Zbl 0834.58034) Full Text: DOI Numdam EuDML OpenURL