Cortés García, Christian; Vera Cuenca, Jasmidt Additive Allee effect on prey in the dynamics of a Gause predator-prey model with constant or proportional refuge on prey at low or high densities. (English) Zbl 1527.34075 Commun. Nonlinear Sci. Numer. Simul. 126, Article ID 107427, 27 p. (2023). MSC: 34C60 92D25 34C05 34D20 34D23 34C23 PDFBibTeX XMLCite \textit{C. Cortés García} and \textit{J. Vera Cuenca}, Commun. Nonlinear Sci. Numer. Simul. 126, Article ID 107427, 27 p. (2023; Zbl 1527.34075) Full Text: DOI
Ma, Zhichao; Xu, Junxiang A Moser’s non-twist theorem for nearly integrable mappings with self-intersection property. (English) Zbl 07741055 Proc. Am. Math. Soc. 151, No. 10, 4191-4197 (2023). Reviewer: Tudor Bînzar (Timişoara) MSC: 37J40 37E40 37E45 37J35 37J11 37J46 70K43 70H08 PDFBibTeX XMLCite \textit{Z. Ma} and \textit{J. Xu}, Proc. Am. Math. Soc. 151, No. 10, 4191--4197 (2023; Zbl 07741055) Full Text: DOI
Pochinka, Olga V.; Shmukler, Valeriya I.; Talanova, Elena A. Bifurcation of a disappearance of a non-compact heteroclinic curve. (English) Zbl 1525.37048 Sel. Math., New Ser. 29, No. 4, Paper No. 60, 14 p. (2023). MSC: 37G20 37G15 37G10 37C29 37C05 PDFBibTeX XMLCite \textit{O. V. Pochinka} et al., Sel. Math., New Ser. 29, No. 4, Paper No. 60, 14 p. (2023; Zbl 1525.37048) Full Text: DOI
Gurevich, Elena Yakovlevna; Denisova, Natal’ya Sergeevna On a topological classification of multidimensional polar flows. (Russian. English summary) Zbl 1524.37020 Zh. Sredn. Mat. Obshch. 24, No. 1, 31-39 (2022). MSC: 37C15 37D15 37C20 37C29 PDFBibTeX XMLCite \textit{E. Y. Gurevich} and \textit{N. S. Denisova}, Zh. Sredn. Mat. Obshch. 24, No. 1, 31--39 (2022; Zbl 1524.37020) Full Text: DOI MNR
Nistor, Ana Irina New examples of \(F\)-planar curves in 3-dimensional warped product manifolds. (English) Zbl 1488.53005 Kragujevac J. Math. 43, No. 2, 247-257 (2019). MSC: 53A04 53C22 53C15 37J46 37C27 53C80 PDFBibTeX XMLCite \textit{A. I. Nistor}, Kragujevac J. Math. 43, No. 2, 247--257 (2019; Zbl 1488.53005) Full Text: Link
Gyllenberg, Mats; Jiang, Jifa; Niu, Lei; Yan, Ping On the dynamics of multi-species Ricker models admitting a carrying simplex. (English) Zbl 1429.37010 J. Difference Equ. Appl. 25, No. 11, 1489-1530 (2019). MSC: 37C05 37C29 37C15 37G10 37G15 PDFBibTeX XMLCite \textit{M. Gyllenberg} et al., J. Difference Equ. Appl. 25, No. 11, 1489--1530 (2019; Zbl 1429.37010) Full Text: DOI Link
Zhang, Xiaohua; Zhou, Liangqiang Melnikov’s method for chaos of the nanoplate postulating nonlinear foundation. (English) Zbl 1460.74046 Appl. Math. Modelling 61, 744-749 (2018). MSC: 74H65 74K20 74M25 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{L. Zhou}, Appl. Math. Modelling 61, 744--749 (2018; Zbl 1460.74046) Full Text: DOI
Ateş, Osman; Munteanu, Marian Ioan Periodic \(J\)-trajectories on \(\mathbb{R} \times \mathbb{S}^3\). (English) Zbl 1401.53013 J. Geom. Phys. 133, 141-152 (2018). Reviewer: Andrew Bucki (Edmond) MSC: 53B25 53C25 53C15 37J45 53C80 PDFBibTeX XMLCite \textit{O. Ateş} and \textit{M. I. Munteanu}, J. Geom. Phys. 133, 141--152 (2018; Zbl 1401.53013) Full Text: DOI
Makarova, Maria V.; Kovalew, Ivan A.; Serow, Dmitry W. Antisymmetric Wada basins prime example: unstable antisaddles case. (English) Zbl 1395.34021 Nonlinear Phenom. Complex Syst., Minsk 21, No. 2, 188-193 (2018). MSC: 34A34 34C37 37C70 37D45 PDFBibTeX XMLCite \textit{M. V. Makarova} et al., Nonlinear Phenom. Complex Syst., Minsk 21, No. 2, 188--193 (2018; Zbl 1395.34021)
Gyllenberg, Mats; Jiang, Jifa; Niu, Lei; Yan, Ping On the classification of generalized competitive Atkinson-Allen models via the dynamics on the boundary of the carrying simplex. (English) Zbl 1381.37030 Discrete Contin. Dyn. Syst. 38, No. 2, 615-650 (2018). Reviewer: Carlo Laing (Auckland) MSC: 37C29 37C75 37N25 92D25 PDFBibTeX XMLCite \textit{M. Gyllenberg} et al., Discrete Contin. Dyn. Syst. 38, No. 2, 615--650 (2018; Zbl 1381.37030) Full Text: DOI
Wu, Ruiwen; Liu, Xiuxaing Dynamics of a predator-prey system with a mate-finding Allee effect on prey. (English) Zbl 1424.92037 Turk. J. Math. 41, No. 3, 585-604 (2017). MSC: 92D25 92D40 34C23 PDFBibTeX XMLCite \textit{R. Wu} and \textit{X. Liu}, Turk. J. Math. 41, No. 3, 585--604 (2017; Zbl 1424.92037) Full Text: DOI
Munteanu, Marian Ioan; Nistor, Ana Irina On some closed magnetic curves on a 3-torus. (English) Zbl 1413.53071 Math. Phys. Anal. Geom. 20, No. 2, Paper No. 8, 13 p. (2017). MSC: 53C15 53C25 37J45 37C27 53C80 PDFBibTeX XMLCite \textit{M. I. Munteanu} and \textit{A. I. Nistor}, Math. Phys. Anal. Geom. 20, No. 2, Paper No. 8, 13 p. (2017; Zbl 1413.53071) Full Text: DOI
Sakharov, A. N.; Shilovskaya, A. A. Morse-Smale flows and the models of the topology of magnetic fields in plasma. (Russian. English summary) Zbl 1399.37049 Zh. Sredn. Mat. Obshch. 19, No. 1, 88-101 (2017). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 37N15 76W05 37D15 PDFBibTeX XMLCite \textit{A. N. Sakharov} and \textit{A. A. Shilovskaya}, Zh. Sredn. Mat. Obshch. 19, No. 1, 88--101 (2017; Zbl 1399.37049)
Burov, Aleksandr Anatol’evich; Kosenko, Ivan Ivanovich Motion of a satellite with a variable mass distribution in a central field of Newtonian attraction. (Russian. English summary) Zbl 1381.37065 Nelineĭn. Din. 13, No. 4, 519-532 (2017). MSC: 37J25 37J40 37J45 68U20 70E55 74H15 PDFBibTeX XMLCite \textit{A. A. Burov} and \textit{I. I. Kosenko}, Nelineĭn. Din. 13, No. 4, 519--532 (2017; Zbl 1381.37065) Full Text: DOI MNR
Cheng, Chong-Qing; Zhou, Min Invariant cylinder near complete resonance. (English) Zbl 1379.37109 Lin, Chang-Shou (ed.) et al., Proceedings of the sixth international congress of Chinese mathematicians, ICCM 2013, Taipei, Taiwan, July 14–19, 2013. Volume II. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-349-4/pbk; 978-1-57146-350-0/set). Advanced Lectures in Mathematics (ALM) 37, 363-376 (2017). MSC: 37J40 37J45 37J50 PDFBibTeX XMLCite \textit{C.-Q. Cheng} and \textit{M. Zhou}, Adv. Lect. Math. (ALM) 37, 363--376 (2017; Zbl 1379.37109)
Adams, Ronald; Kalies, William D.; Vandervorst, Robert C. A. M. On the dynamics of second-order Lagrangian systems. (English) Zbl 1373.37145 Electron. J. Differ. Equ. 2017, Paper No. 101, 18 p. (2017). MSC: 37J45 34C25 47J30 70H50 PDFBibTeX XMLCite \textit{R. Adams} et al., Electron. J. Differ. Equ. 2017, Paper No. 101, 18 p. (2017; Zbl 1373.37145) Full Text: Link
Grines, Vyacheslav Z.; Gurevich, Elena Ya.; Pochinka, Olga V. On the number of heteroclinic curves of diffeomorphisms with surface dynamics. (English) Zbl 1376.37069 Regul. Chaotic Dyn. 22, No. 2, 122-135 (2017). MSC: 37D20 37D15 37C29 PDFBibTeX XMLCite \textit{V. Z. Grines} et al., Regul. Chaotic Dyn. 22, No. 2, 122--135 (2017; Zbl 1376.37069) Full Text: DOI
Inoguchi, Jun-Ichi; Munteanu, Marian Ioan Periodic magnetic curves in Berger spheres. (English) Zbl 1367.53040 Tohoku Math. J. (2) 69, No. 1, 113-128 (2017). Reviewer: Andrew Bucki (Edmond) MSC: 53C25 53C30 37J45 53C80 PDFBibTeX XMLCite \textit{J.-I. Inoguchi} and \textit{M. I. Munteanu}, Tôhoku Math. J. (2) 69, No. 1, 113--128 (2017; Zbl 1367.53040) Full Text: DOI arXiv Euclid
Gonchenko, A. S.; Kozlov, A. D. On scenarios of chaos appearance in three-dimensional nonoriented maps. (Russian. English summary) Zbl 1524.37041 Zh. Sredn. Mat. Obshch. 18, No. 4, 17-29 (2016). MSC: 37E30 37D45 37C29 37C70 PDFBibTeX XMLCite \textit{A. S. Gonchenko} and \textit{A. D. Kozlov}, Zh. Sredn. Mat. Obshch. 18, No. 4, 17--29 (2016; Zbl 1524.37041) Full Text: MNR
Grines, V. Z.; Gurevich, E.; Pochinka, O. V. Heteroclinic curves of gradient-like diffeomorphsms and the topology of ambient manifolds. (Russian. English summary) Zbl 1374.37039 Zh. Sredn. Mat. Obshch. 18, No. 2, 11-15 (2016). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 37D15 37G05 37D10 37C05 37C29 PDFBibTeX XMLCite \textit{V. Z. Grines} et al., Zh. Sredn. Mat. Obshch. 18, No. 2, 11--15 (2016; Zbl 1374.37039)
Kolomiec, M. I.; Sakharov, A. N.; Tregubova, E. V. On the topology of the potential magnetic field. (Russian. English summary) Zbl 1374.37035 Zh. Sredn. Mat. Obshch. 18, No. 1, 31-44 (2016). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 37C20 37C05 37C75 37C70 37C29 PDFBibTeX XMLCite \textit{M. I. Kolomiec} et al., Zh. Sredn. Mat. Obshch. 18, No. 1, 31--44 (2016; Zbl 1374.37035)
Druţă-Romaniuc, Simona-Luiza; Inoguchi, Jun-ichi; Munteanu, Marian Ioan; Nistor, Ana Irina Magnetic curves in cosymplectic manifolds. (English) Zbl 1353.53033 Rep. Math. Phys. 78, No. 1, 33-48 (2016). Reviewer: Anthony D. Osborne (Keele) MSC: 53C15 53C25 53C30 37J45 53C80 PDFBibTeX XMLCite \textit{S.-L. Druţă-Romaniuc} et al., Rep. Math. Phys. 78, No. 1, 33--48 (2016; Zbl 1353.53033) Full Text: DOI
Skubov, D.; Lukin, A.; Popov, I. Bifurcation curves for synchronous electrical machine. (English) Zbl 1353.78019 Nonlinear Dyn. 83, No. 4, 2323-2329 (2016). MSC: 78A55 70K50 70K44 PDFBibTeX XMLCite \textit{D. Skubov} et al., Nonlinear Dyn. 83, No. 4, 2323--2329 (2016; Zbl 1353.78019) Full Text: DOI
Liu, Qihuai; Li, Xia; Qian, Dingbian An abstract theorem on the existence of periodic motions of non-autonomous Lagrange systems. (English) Zbl 1409.70013 J. Differ. Equations 261, No. 10, 5784-5802 (2016). MSC: 70H12 70H03 34C25 37J45 49S05 PDFBibTeX XMLCite \textit{Q. Liu} et al., J. Differ. Equations 261, No. 10, 5784--5802 (2016; Zbl 1409.70013) Full Text: DOI
Niu, Lei; Jiang, Jifa On the equivalent classification of three-dimensional competitive Atkinson/Allen models relative to the boundary fixed points. (English) Zbl 1366.37049 Discrete Contin. Dyn. Syst. 36, No. 1, 217-244 (2016). Reviewer: Kwok-wai Chung (Hong Kong) MSC: 37C25 37G15 34D30 34D45 37C29 92D40 PDFBibTeX XMLCite \textit{L. Niu} and \textit{J. Jiang}, Discrete Contin. Dyn. Syst. 36, No. 1, 217--244 (2016; Zbl 1366.37049) Full Text: DOI
Chen, Yuming; Yang, Qigui A new Lorenz-type hyperchaotic system with a curve of equilibria. (English) Zbl 07313365 Math. Comput. Simul. 112, 40-55 (2015). MSC: 37-XX 34-XX PDFBibTeX XMLCite \textit{Y. Chen} and \textit{Q. Yang}, Math. Comput. Simul. 112, 40--55 (2015; Zbl 07313365) Full Text: DOI
Druţă-Romaniuc, Simona Luiza; Inoguchi, Jun-Ichi; Munteanu, Marian Ioan; Nistor, Ana Irina Magnetic curves in Sasakian manifolds. (English) Zbl 1420.53035 J. Nonlinear Math. Phys. 22, No. 3, 428-447 (2015). MSC: 53C15 53C25 53C30 37J45 53C80 PDFBibTeX XMLCite \textit{S. L. Druţă-Romaniuc} et al., J. Nonlinear Math. Phys. 22, No. 3, 428--447 (2015; Zbl 1420.53035) Full Text: DOI
Lerman, Lev; Markova, Anna On symplectic dynamics near a homoclinic orbit to 1-elliptic fixed point. (English) Zbl 1332.37044 Trans. Mosc. Math. Soc. 2015, 271-299 (2015) and Tr. Mosk. Mat. O.-va 76, No. 2, 309-342 (2015). MSC: 37J40 37J10 37J30 37J45 70H07 PDFBibTeX XMLCite \textit{L. Lerman} and \textit{A. Markova}, Trans. Mosc. Math. Soc. 2015, 271--299 (2015; Zbl 1332.37044) Full Text: DOI arXiv
González-Olivares, Eduardo; Tintinago-Ruiz, Paulo C.; Rojas-Palma, Alejandro A Leslie-Gower-type predator-prey model with sigmoid functional response. (English) Zbl 1351.92041 Int. J. Comput. Math. 92, No. 9, 1895-1909 (2015). MSC: 92D25 34C23 PDFBibTeX XMLCite \textit{E. González-Olivares} et al., Int. J. Comput. Math. 92, No. 9, 1895--1909 (2015; Zbl 1351.92041) Full Text: DOI
Xu, Yancong; Geng, Fengjie Existence of periodic orbits and shift-invariant curve sequences near multiple homoclinics. (English) Zbl 1313.37055 Appl. Math., Ser. B (Engl. Ed.) 29, No. 1, 108-118 (2014). MSC: 37G40 37C29 34C37 34C23 PDFBibTeX XMLCite \textit{Y. Xu} and \textit{F. Geng}, Appl. Math., Ser. B (Engl. Ed.) 29, No. 1, 108--118 (2014; Zbl 1313.37055) Full Text: DOI
Gasull, A.; Giacomini, H.; Pérez-González, S.; Torregrosa, J. A proof of Perko’s conjectures for the Bogdanov-Takens system. (English) Zbl 1301.34054 J. Differ. Equations 255, No. 9, 2655-2671 (2013). Reviewer: Maite Grau (Lleida) MSC: 34C23 34C05 34C07 37G15 34C37 PDFBibTeX XMLCite \textit{A. Gasull} et al., J. Differ. Equations 255, No. 9, 2655--2671 (2013; Zbl 1301.34054) Full Text: DOI arXiv
González-Olivares, Eduardo; Meneses-Alcay, Héctor; González-Yañez, Betsabé; Mena-Lorca, Jaime; Rojas-Palma, Alejandro; Ramos-Jiliberto, Rodrigo Corrigendum to: “Multiple stability and uniqueness of the limit cycle in a Gause-type predator-prey model considering the Allee effect on prey”. (English) Zbl 1254.34047 Nonlinear Anal., Real World Appl. 14, No. 1, 888-891 (2013). MSC: 34C05 92D25 34C23 34C37 PDFBibTeX XMLCite \textit{E. González-Olivares} et al., Nonlinear Anal., Real World Appl. 14, No. 1, 888--891 (2013; Zbl 1254.34047) Full Text: DOI
Danylenko, V. A.; Skurativskyi, S. I. Travelling wave solutions of nonlocal models for media with oscillating inclusions. (English) Zbl 1290.74020 Nonlinear Dyn. Syst. Theory 12, No. 4, 365-374 (2012). MSC: 74J30 35C07 74D10 37G20 34A45 34C37 PDFBibTeX XMLCite \textit{V. A. Danylenko} and \textit{S. I. Skurativskyi}, Nonlinear Dyn. Syst. Theory 12, No. 4, 365--374 (2012; Zbl 1290.74020)
Si, Chengbin The Poincaré bifurcation of quadratic Hamiltonian systems with degenerate cubic curve solution. (Chinese. English summary) Zbl 1274.34118 Pure Appl. Math. 28, No. 4, 446-461 (2012). MSC: 34C23 34C05 37J45 34C45 PDFBibTeX XMLCite \textit{C. Si}, Pure Appl. Math. 28, No. 4, 446--461 (2012; Zbl 1274.34118)
Shaw, Kendrick M.; Park, Young-Min; Chiel, Hillel J.; Thomas, Peter J. Phase resetting in an asymptotically phaseless system: on the phase response of limit cycles verging on a heteroclinic orbit. (English) Zbl 1242.34088 SIAM J. Appl. Dyn. Syst. 11, No. 1, 350-391 (2012). MSC: 34C60 34C05 34C37 34C23 92C20 PDFBibTeX XMLCite \textit{K. M. Shaw} et al., SIAM J. Appl. Dyn. Syst. 11, No. 1, 350--391 (2012; Zbl 1242.34088) Full Text: DOI arXiv
Cameron, Maria; Kohn, Robert V.; Vanden-Eijnden, Eric The string method as a dynamical system. (English) Zbl 1250.37014 J. Nonlinear Sci. 21, No. 2, 193-230 (2011). MSC: 37B35 60J70 65C20 PDFBibTeX XMLCite \textit{M. Cameron} et al., J. Nonlinear Sci. 21, No. 2, 193--230 (2011; Zbl 1250.37014) Full Text: DOI
González-Olivares, Eduardo; González-Yañez, Betsabé; Lorca, Jaime Mena; Rojas-Palma, Alejandro; Flores, José D. Consequences of double Allee effect on the number of limit cycles in a predator-prey model. (English) Zbl 1236.34067 Comput. Math. Appl. 62, No. 9, 3449-3463 (2011). MSC: 34C60 37N25 92D25 34C37 PDFBibTeX XMLCite \textit{E. González-Olivares} et al., Comput. Math. Appl. 62, No. 9, 3449--3463 (2011; Zbl 1236.34067) Full Text: DOI
González-Olivares, Eduardo; Meneses-Alcay, Héctor; González-Yañez, Betsabé; Mena-Lorca, Jaime; Rojas-Palma, Alejandro; Ramos-Jiliberto, Rodrigo Multiple stability and uniqueness of the limit cycle in a Gause-type predator-prey model considering the Allee effect on prey. (English) Zbl 1231.34053 Nonlinear Anal., Real World Appl. 12, No. 6, 2931-2942 (2011); corrigendum ibid. 14, No. 1, 888-891 (2013). MSC: 34C05 92D25 34C23 34C37 PDFBibTeX XMLCite \textit{E. González-Olivares} et al., Nonlinear Anal., Real World Appl. 12, No. 6, 2931--2942 (2011; Zbl 1231.34053) Full Text: DOI
Talanova, E. A. The global graph as a complete topological invariant in the class of diffeomorphisms on \(\mathbb{M}^3\). (Russian. English summary) Zbl 1240.37020 Zh. Sredn. Mat. Obshch. 11, No. 1, 199-208 (2009). Reviewer: Pavel A. Shamanaev (Saransk) MSC: 37C05 PDFBibTeX XMLCite \textit{E. A. Talanova}, Zh. Sredn. Mat. Obshch. 11, No. 1, 199--208 (2009; Zbl 1240.37020)
Qiao, Zhiqin; Lu, Qiuying; Zhu, Deming Bifurcation of rough heteroclinic loop with orbit and inclination flips. (English) Zbl 1167.34349 Nonlinear Anal., Real World Appl. 10, No. 2, 611-628 (2009). MSC: 34C37 34C23 37G99 37C29 PDFBibTeX XMLCite \textit{Z. Qiao} et al., Nonlinear Anal., Real World Appl. 10, No. 2, 611--628 (2009; Zbl 1167.34349) Full Text: DOI
Pochinka, O. V.; Talanova, E. A. Topological conjugacy of gradient-like diffeomorphisms with unique heroclinic curve on \(S^3\). (Russian. English summary) Zbl 1164.37009 Tr. Sredn. Mat. Obshch. 10, No. 1, 241-250 (2008). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37C05 PDFBibTeX XMLCite \textit{O. V. Pochinka} and \textit{E. A. Talanova}, Tr. Sredn. Mat. Obshch. 10, No. 1, 241--250 (2008; Zbl 1164.37009)
Gentile, Guido; Bartuccelli, Michele V.; Deane, Jonathan H. B. Bifurcation curves of subharmonic solutions and Melnikov theory under degeneracies. (English) Zbl 1202.34078 Rev. Math. Phys. 19, No. 3, 307-348 (2007). MSC: 34C23 37G15 37G25 34C25 34C37 34D10 PDFBibTeX XMLCite \textit{G. Gentile} et al., Rev. Math. Phys. 19, No. 3, 307--348 (2007; Zbl 1202.34078) Full Text: DOI arXiv
Bi, Qinsheng Singular solitary waves associated with homoclinic orbits. (English) Zbl 1187.37106 Phys. Lett., A 352, No. 3, 227-232 (2006). MSC: 37K40 35Q51 35Q53 37C29 PDFBibTeX XMLCite \textit{Q. Bi}, Phys. Lett., A 352, No. 3, 227--232 (2006; Zbl 1187.37106) Full Text: DOI
Fedorov, Yu. N. Algebraic closed geodesics on a triaxial ellipsoid. (English) Zbl 1133.37328 Regul. Chaotic Dyn. 10, No. 4, 463-485 (2005). MSC: 37J35 14H70 37J45 53D25 PDFBibTeX XMLCite \textit{Yu. N. Fedorov}, Regul. Chaotic Dyn. 10, No. 4, 463--485 (2005; Zbl 1133.37328) Full Text: DOI arXiv
Abbas, Casim; Cieliebak, Kai; Hofer, Helmut The Weinstein conjecture for planar contact structures in dimension three. (English) Zbl 1098.53063 Comment. Math. Helv. 80, No. 4, 771-793 (2005). Reviewer: Hans-Bert Rademacher (Leipzig) MSC: 53D35 37J45 PDFBibTeX XMLCite \textit{C. Abbas} et al., Comment. Math. Helv. 80, No. 4, 771--793 (2005; Zbl 1098.53063) Full Text: DOI arXiv
Si, Chengbin; Shen, Boqian A necessary and sufficient condition for the coexistence of a class of cubic curve separatrix cycles and limit cycles to the cubic system. (English) Zbl 1070.34047 Ann. Differ. Equations 19, No. 2, 195-201 (2003). Reviewer: Iliya Iliev (Sofia) MSC: 34C05 34C37 PDFBibTeX XMLCite \textit{C. Si} and \textit{B. Shen}, Ann. Differ. Equations 19, No. 2, 195--201 (2003; Zbl 1070.34047)
Grines, V. Z.; Zhuzhoma, E. V.; Medvedev, V. S. On the Morse-Smale diffeomorphisms with four periodic points on closed orientable manifolds. (English. Russian original) Zbl 1062.37017 Math. Notes 74, No. 3, 352-366 (2003); translation from Mat. Zametki 74, No. 3, 369-386 (2003). Reviewer: Ming-Chia Ling (Changhua) MSC: 37D15 57R50 PDFBibTeX XMLCite \textit{V. Z. Grines} et al., Math. Notes 74, No. 3, 352--366 (2003; Zbl 1062.37017); translation from Mat. Zametki 74, No. 3, 369--386 (2003) Full Text: DOI
Fernández-Sánchez, F.; Freire, E.; Pizarro, L.; Rodríguez-Luis, A. J. A model for the analysis of the dynamical consequences of a nontransversal intersection of the two-dimensional manifolds involved in a T-point. (English) Zbl 1065.37019 Phys. Lett., A 320, No. 2-3, 169-179 (2003). MSC: 37C29 34C37 37G20 PDFBibTeX XMLCite \textit{F. Fernández-Sánchez} et al., Phys. Lett., A 320, No. 2--3, 169--179 (2003; Zbl 1065.37019) Full Text: DOI
Hofer, H.; Wysocki, K.; Zehnder, E. Pseudoholomorphic curves and dynamics in three dimensions. (English) Zbl 1052.53063 Hasselblatt, B. (ed.) et al., Handbook of dynamical systems. Volume 1A. Amsterdam: North-Holland (ISBN 0-444-82669-6/hbk). 1129-1188 (2002). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 53D35 37C27 37Exx 37J45 37J55 32Q65 PDFBibTeX XMLCite \textit{H. Hofer} et al., in: Handbook of dynamical systems. Volume 1A. Amsterdam: North-Holland. 1129--1188 (2002; Zbl 1052.53063)
Addas-Zanata, Salvador On the existence of a new type of periodic and quasi-periodic orbits for twist maps of the torus. (English) Zbl 1050.37021 Nonlinearity 15, No. 5, 1399-1416 (2002). Reviewer: Rafael Ortega (Granada) MSC: 37E40 37E45 37J45 37E30 PDFBibTeX XMLCite \textit{S. Addas-Zanata}, Nonlinearity 15, No. 5, 1399--1416 (2002; Zbl 1050.37021) Full Text: DOI arXiv
Clerc, M.; Coullet, P.; Tirapegui, E. The stationary instability in quasi-reversible systems and the Lorenz pendulum. (English) Zbl 1090.70506 Int. J. Bifurcation Chaos Appl. Sci. Eng. 11, No. 3, 591-603 (2001). MSC: 70K20 70K44 70K55 PDFBibTeX XMLCite \textit{M. Clerc} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 11, No. 3, 591--603 (2001; Zbl 1090.70506) Full Text: DOI
Belykh, V. N.; Shchepin, A. N. Homoclinic and heteroclinic orbits of a family of multidimensional dynamical nonautonomous systems. (Russian. English summary) Zbl 1043.34047 Vestn. Nizhegorod. Univ. N. I. Lobachevskogo, Mat. Model. Optim. Upr. 2001, No. 2, 189-193 (2001). Reviewer: V. Grebenev (Novosibirsk) MSC: 34C37 34C23 37G99 PDFBibTeX XMLCite \textit{V. N. Belykh} and \textit{A. N. Shchepin}, Vestn. Nizhegorod. Univ. N. I. Lobachevskogo, Mat. Model. Optim. Upr. 2001, No. 2, 189--193 (2001; Zbl 1043.34047)
Shen, Boqian; Shen, Jie A sufficient and necessary condition for the existence of a double bun type separatrix cycle for axial symmetry cubic systems. (English) Zbl 1003.34035 Ann. Differ. Equations 17, No. 4, 336-342 (2001). Reviewer: Armengol Gasull (Bellaterra, Barcelona) MSC: 34C37 34C05 37C10 37C29 37G05 PDFBibTeX XMLCite \textit{B. Shen} and \textit{J. Shen}, Ann. Differ. Equations 17, No. 4, 336--342 (2001; Zbl 1003.34035)
Hirsch, Morris W. Fixed-point indices, homoclinic contacts, and dynamics of injective planar maps. (English) Zbl 0978.37035 Mich. Math. J. 47, No. 1, 101-108 (2000). Reviewer: Victor I.Tkachenko (Kyïv) MSC: 37E30 37C25 37C29 PDFBibTeX XMLCite \textit{M. W. Hirsch}, Mich. Math. J. 47, No. 1, 101--108 (2000; Zbl 0978.37035) Full Text: DOI
Cheng, Wei; Cheng, Chongqing Existence of infinite non-Birkhoff periodic orbits for area-preserving monotone twist maps of cylinders. (English) Zbl 0998.37017 Sci. China, Ser. A 43, No. 8, 810-817 (2000). Reviewer: Rafael Ortega (Granada) MSC: 37J45 37E40 34C25 PDFBibTeX XMLCite \textit{W. Cheng} and \textit{C. Cheng}, Sci. China, Ser. A 43, No. 8, 810--817 (2000; Zbl 0998.37017) Full Text: DOI
Cieliebak, Kai; Séré, Eric Pseudoholomorphic curves and the shadowing lemma. (English) Zbl 0955.37039 Duke Math. J. 99, No. 1, 41-73 (1999). Reviewer: Sergei Yu.Pilyugin (St.Peterburg) MSC: 37J45 37C50 32Q65 58E05 37C29 34C37 37D05 37D45 PDFBibTeX XMLCite \textit{K. Cieliebak} and \textit{E. Séré}, Duke Math. J. 99, No. 1, 41--73 (1999; Zbl 0955.37039) Full Text: DOI
Li, Xuepeng A kind of two-parameter cubic curve family defined by a quadratic system. (Chinese) Zbl 0947.34035 Chin. Ann. Math., Ser. A 19, No. 6, 677-688 (1998). Reviewer: Ye Yanqian (Nanjing) MSC: 34C37 35C05 PDFBibTeX XMLCite \textit{X. Li}, Chin. Ann. Math., Ser. A 19, No. 6, 677--688 (1998; Zbl 0947.34035)
Rychlik, Marek R. A complete solution to the equichordal point problem of Fujiwara, Blaschke, Rothe and Weizenböck. (English) Zbl 0882.51008 Invent. Math. 129, No. 1, 141-212 (1997). Reviewer: G.Stanilov (Sofia) MSC: 51M04 51N35 51F99 53A04 30F99 14H52 PDFBibTeX XMLCite \textit{M. R. Rychlik}, Invent. Math. 129, No. 1, 141--212 (1997; Zbl 0882.51008) Full Text: DOI
Si, Chengbin; Shen, Boqian A necessary and sufficient condition for the existence of a class of quartic curve separatrix cycles in a quadratic system. (Chinese. English summary) Zbl 0883.34053 J. Math. Res. Expo. 15, No. 2, 261-266 (1995). MSC: 34C37 PDFBibTeX XMLCite \textit{C. Si} and \textit{B. Shen}, J. Math. Res. Expo. 15, No. 2, 261--266 (1995; Zbl 0883.34053)
Yamaguchi, Yoshihiro; Tanikawa, Kiyotaka The first direct heteroclinic tangency theorem in two-dimensional maps. (English) Zbl 0778.58051 Chaos Solitons Fractals 3, No. 4, 395-404 (1993). MSC: 37D45 30E25 PDFBibTeX XMLCite \textit{Y. Yamaguchi} and \textit{K. Tanikawa}, Chaos Solitons Fractals 3, No. 4, 395--404 (1993; Zbl 0778.58051) Full Text: DOI
Shil’nikov, A. L. Bifurcation and chaos in the Marioka-Shimizu system. (English. Russian original) Zbl 0745.58036 Sel. Math. Sov. 10, No. 2, 105-117 (1991); translation from Methods of the qualitative theory of differential equations, Gor’kij, 180-193 (1986). Reviewer: D.Erle (Dortmund) MSC: 37D45 34C23 34C37 PDFBibTeX XMLCite \textit{A. L. Shil'nikov}, Sel. Math. Sov. 10, No. 2, 105--117 (1986; Zbl 0745.58036); translation from Methods of the qualitative theory of differential equations, Gor'kij, 180--193 (1986)
Aronson, D. G.; Chory, M. A.; Hall, G. R.; McGehee, R. P. Bifurcations from an invariant circle for two-parameter families of maps of the plane: a computer-assisted study. (English) Zbl 0499.70034 Commun. Math. Phys. 83, 303-354 (1982). MSC: 70K50 37C70 37D45 54C05 54C25 58C25 PDFBibTeX XMLCite \textit{D. G. Aronson} et al., Commun. Math. Phys. 83, 303--354 (1982; Zbl 0499.70034) Full Text: DOI