Kon, Ryusuke Invariant curves in a discrete-time two-species system. (English) Zbl 07939270 J. Difference Equ. Appl. 30, No. 10, 1711-1726 (2024). MSC: 92D25 39A60 39A30 37C29 × Cite Format Result Cite Review PDF Full Text: DOI
Ma, Zhichao; Xu, Junxiang A Moser’s non-twist theorem for nearly integrable mappings with self-intersection property. (English) Zbl 1533.37125 Proc. Am. Math. Soc. 151, No. 10, 4191-4197 (2023). Reviewer: Tudor Bînzar (Timişoara) MSC: 37J40 37E40 37E45 37J35 37J11 37J46 70K43 70H08 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Arancibia-Ibarra, Claudio; Flores, José; Bode, Michael; Pettet, Graeme; van Heijster, Peter A modified May-Holling-Tanner predator-prey model with multiple Allee effects on the prey and an alternative food source for the predator. (English) Zbl 1467.92149 Discrete Contin. Dyn. Syst., Ser. B 26, No. 2, 943-962 (2021). MSC: 92D25 34C23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI Link
Gu, En-Guo; Guo, Jun BCB curves and contact bifurcations in piecewise linear discontinuous map arising in a financial market. (English) Zbl 1411.37076 Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 2, Article ID 1950022, 34 p. (2019). MSC: 37N40 37E30 91B24 37G20 37D45 37G25 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Kamiyama, Kyohei; Komuro, Motomasa; Aihara, Kazuyuki Homoclinic cycle bifurcations in planar maps. (English) Zbl 1360.37128 Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 3, Article ID 1730012, 11 p. (2017). MSC: 37G20 37E30 37D45 37G25 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF
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 × Cite Format Result Cite Review PDF
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Danylenko, V. A.; Skurativskyi, S. I. Peculiarities of wave fields in nonlocal media. (English) Zbl 1412.74040 Nonlinear Dyn. Syst. Theory 16, No. 2, 165-178 (2016). MSC: 74J30 74A50 35B41 35C07 37G20 × Cite Format Result Cite Review PDF Full Text: arXiv
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
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 × Cite Format Result Cite Review PDF Full Text: DOI
Gonchenko, Aleksandr Sergeevich; Gonchenko, Sergeĭ Vladmirovich; Shil’nikov, Leonid Pavlovich Towards scenarios of chaos appearance in three-dimensional maps. (Russian. English summary) Zbl 07959884 Nelineĭn. Din. 8, No. 1, 3-28 (2012). MSC: 37C70 37C29 37G25 × Cite Format Result Cite Review PDF Full Text: MNR
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 × Cite Format Result Cite Review PDF
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 × Cite Format Result Cite Review PDF
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Belyakov, L. A.; Belyakova, G. V. Invariant tori and chaotic dynamics in a nonlinear nonautonomous Reyleigh-like equation. (Russian. English summary) Zbl 07958918 Nelineĭn. Din. 6, No. 1, 53-59 (2010). MSC: 37C60 37C65 37D45 37G99 × Cite Format Result Cite Review PDF Full Text: MNR
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Agliari, Anna; Gardini, Laura; Puu, Tönu Some global bifurcations related to the appearance of closed invariant curves. (English) Zbl 1070.65132 Math. Comput. Simul. 68, No. 3, 201-219 (2005). MSC: 65P30 37M20 37G20 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF
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 × Cite Format Result Cite Review PDF
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI Link
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 × Cite Format Result Cite Review PDF
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 × Cite Format Result Cite Review PDF
Gonchenko, S. V.; Turaev, D. V.; Shil’nikov, L. P. Dynamical phenomena in multidimensional systems with a structurally unstable homoclinic Poincaré curve. (English. Russian original) Zbl 0864.58043 Russ. Acad. Sci., Dokl., Math. 47, No. 3, 410-415 (1993); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 330, No. 2, 144-147 (1993). MSC: 37G99 37C75 × Cite Format Result Cite Review PDF
Tanikawa, Kiyotaka; Yamaguchi, Yoshihiro Stable and unstable manifolds asymptotic to the outermost KAM curve. (English) Zbl 0777.58022 J. Math. Anal. Appl. 166, No. 2, 529-539 (1992). Reviewer: A.Pelczar (Kraków) MSC: 37C75 37G15 54H20 × Cite Format Result Cite Review PDF Full Text: DOI
Turaev, D. V.; Shil’nikov, L. P. On Hamiltonian systems with homoclinic saddle curves. (English. Russian original) Zbl 0689.58013 Sov. Math., Dokl. 39, No. 1, 165-168 (1989); translation from Dokl. Akad. Nauk SSSR 304, No. 4, 811-814 (1989). Reviewer: I.J.Dorfman MSC: 37J99 37D99 54H20 × Cite Format Result Cite Review PDF
Ovsyannikov, I. M.; Shil’nikov, L. P. On systems with a saddle-focus homoclinic curve. (English. Russian original) Zbl 0628.58044 Math. USSR, Sb. 58, 557-574 (1987); translation from Mat. Sb., Nov. Ser. 130(172), No. 4(8), 552-570 (1986). Reviewer: N.Ivanov MSC: 37G99 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF
Gonchenko, S. V. On a two-parameter family of systems close to a system with a nonrough homoclinic curve. I. (English. Russian original) Zbl 0738.58034 Sel. Math. Sov. 10, No. 1, 69-80 (1991); translation from Methods of the qualitative theory of differential equations, Gor’kij, 55-72 (1985). Reviewer: G.V.Khmelevskaja-Plotnikova (Namur) MSC: 37G99 34C23 × Cite Format Result Cite Review PDF
Belyakov, L. A. Bifurcation of systems with homoclinic curve of a saddle-focus with saddle quantity zero. (English) Zbl 0598.34035 Math. Notes 36, 838-843 (1984). MSC: 34C25 34C05 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI Euclid