Bolotin, S. V. Crossing of the critical energy level in Hamiltonian systems with slow dependence on time. (English. Russian original) Zbl 1487.37076 Math. Notes 110, No. 6, 956-959 (2021); translation from Mat. Zametki 110, No. 6, 927-931 (2021). MSC: 37J46 37J40 70K44 PDF BibTeX XML Cite \textit{S. V. Bolotin}, Math. Notes 110, No. 6, 956--959 (2021; Zbl 1487.37076); translation from Mat. Zametki 110, No. 6, 927--931 (2021) Full Text: DOI
Li, Xianyi; Wang, Haijun A three-dimensional nonlinear system with a single heteroclinic trajectory. (English) Zbl 1457.34069 J. Appl. Anal. Comput. 10, No. 1, 249-266 (2020). MSC: 34C37 34D20 37C29 PDF BibTeX XML Cite \textit{X. Li} and \textit{H. Wang}, J. Appl. Anal. Comput. 10, No. 1, 249--266 (2020; Zbl 1457.34069) Full Text: DOI
Grines, V. Z.; Gurevich, E. Ya.; Kurenkov, E. D. Topological classification of gradient-like flows with surface dynamics on 3-manifolds. (English. Russian original) Zbl 1446.37026 Math. Notes 107, No. 1, 173-176 (2020); translation from Mat. Zametki 107, No. 1, 145-148 (2020). Reviewer: Vladimir P. Kostov (Nice) MSC: 37C15 37D15 37E30 37C29 37B35 37C10 PDF BibTeX XML Cite \textit{V. Z. Grines} et al., Math. Notes 107, No. 1, 173--176 (2020; Zbl 1446.37026); translation from Mat. Zametki 107, No. 1, 145--148 (2020) 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 PDF BibTeX XML Cite \textit{A. I. Nistor}, Kragujevac J. Math. 43, No. 2, 247--257 (2019; Zbl 1488.53005) Full Text: Link
Gurina, Tat’yana Alekseevna Bifurcation study of transition to chaos in the oscillatory system of motion of a plate in a liquid. (Russian. English summary) Zbl 1448.34079 Vestn. Udmurt. Univ., Mat. Mekh. Komp’yut. Nauki 29, No. 1, 3-18 (2019). Reviewer: Eduard Musafirov (Grodno) MSC: 34C23 34C15 34C25 34C28 34D45 34C37 70K55 PDF BibTeX XML Cite \textit{T. A. Gurina}, Vestn. Udmurt. Univ., Mat. Mekh. Komp'yut. Nauki 29, No. 1, 3--18 (2019; Zbl 1448.34079) Full Text: DOI MNR
Kuznetsov, M. V. The order of coexistence of homoclinic trajectories for the maps of an interval. (English. Ukrainian original) Zbl 1434.37023 Ukr. Math. J. 71, No. 7, 1146-1152 (2019); translation from Ukr. Mat. Zh. 71, No. 7, 1003-1008 (2019). MSC: 37E05 37C29 PDF BibTeX XML Cite \textit{M. V. Kuznetsov}, Ukr. Math. J. 71, No. 7, 1146--1152 (2019; Zbl 1434.37023); translation from Ukr. Mat. Zh. 71, No. 7, 1003--1008 (2019) Full Text: DOI
Georgiev, Zhivko D.; Uzunov, Ivan M.; Todorov, Todor G. Analysis and synthesis of oscillator systems described by a perturbed double-well Duffing equation. (English) Zbl 1412.34149 Nonlinear Dyn. 94, No. 1, 57-85 (2018). MSC: 34C37 34C28 34C05 37C29 PDF BibTeX XML Cite \textit{Z. D. Georgiev} et al., Nonlinear Dyn. 94, No. 1, 57--85 (2018; Zbl 1412.34149) Full Text: DOI
Kawasaki, Morimichi; Orita, Ryuma Computation of annular capacity by Hamiltonian Floer theory of non-contractible periodic trajectories. (English) Zbl 1484.53116 J. Mod. Dyn. 11, 313-339 (2017). MSC: 53D40 37J11 37J46 PDF BibTeX XML Cite \textit{M. Kawasaki} and \textit{R. Orita}, J. Mod. Dyn. 11, 313--339 (2017; Zbl 1484.53116) Full Text: DOI arXiv
Belyaeva, N. A.; Yakovleva, A. F. Frontal wave of pressure flow. (Russian. English summary) Zbl 1462.76156 Vestn. Syktyvkar. Univ., Ser. 1, Mat. Mekh. Inform. 23, No. 2, 3-12 (2017). MSC: 76N30 PDF BibTeX XML Cite \textit{N. A. Belyaeva} and \textit{A. F. Yakovleva}, Vestn. Syktyvkar. Univ., Ser. 1, Mat. Mekh. Inform. 23, No. 2, 3--12 (2017; Zbl 1462.76156)
Leonov, G. A. Generalized Lorenz equations for acoustic-gravity waves in the atmosphere: attractors dimension, convergence and homoclinic trajectories. (English) Zbl 1375.37077 Commun. Pure Appl. Anal. 16, No. 6, 2253-2267 (2017). MSC: 37C70 37C29 34D45 34C37 37N10 PDF BibTeX XML Cite \textit{G. A. Leonov}, Commun. Pure Appl. Anal. 16, No. 6, 2253--2267 (2017; Zbl 1375.37077) Full Text: DOI
Leonov, G. Existence conditions of homoclinic trajectories in Tigan system. (English) Zbl 1330.34072 Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 13, Article ID 1550175, 5 p. (2015). MSC: 34C37 34C23 34A45 PDF BibTeX XML Cite \textit{G. Leonov}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 13, Article ID 1550175, 5 p. (2015; Zbl 1330.34072) Full Text: DOI
Irie, Kei Periodic billiard trajectories and Morse theory on loop spaces. (English) Zbl 1408.37106 Comment. Math. Helv. 90, No. 1, 225-254 (2015). MSC: 37J45 70H12 52A20 37D50 PDF BibTeX XML Cite \textit{K. Irie}, Comment. Math. Helv. 90, No. 1, 225--254 (2015; Zbl 1408.37106) Full Text: DOI arXiv
Leonov, G. A. Fishing principle for homoclinic and heteroclinic trajectories. (English) Zbl 1331.34079 Nonlinear Dyn. 78, No. 4, 2751-2758 (2014). MSC: 34C37 37C29 PDF BibTeX XML Cite \textit{G. A. Leonov}, Nonlinear Dyn. 78, No. 4, 2751--2758 (2014; Zbl 1331.34079) Full Text: DOI
Nikitina, N. V. About the existence of a homoclinic trajectory with symmetry in three-dimensional systems. (Russian. English summary) Zbl 1313.37016 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2014, No. 7, 68-75 (2014). MSC: 37C29 37C80 PDF BibTeX XML Cite \textit{N. V. Nikitina}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2014, No. 7, 68--75 (2014; Zbl 1313.37016) Full Text: DOI
Ramírez-Ros, Rafael On Cayley conditions for billiards inside ellipsoids. (English) Zbl 1317.37063 Nonlinearity 27, No. 5, 1003-1028 (2014). Reviewer: Angel Zhivkov (Sofia) MSC: 37J45 37D50 PDF BibTeX XML Cite \textit{R. Ramírez-Ros}, Nonlinearity 27, No. 5, 1003--1028 (2014; Zbl 1317.37063) Full Text: DOI arXiv
Franca, Matteo Bifurcation diagrams for singularly perturbed system: the multi-dimensional case. (English) Zbl 1340.34198 Electron. J. Qual. Theory Differ. Equ. 2013, Paper No. 52, 36 p. (2013). MSC: 34E15 34C23 34C45 34C37 37G10 PDF BibTeX XML Cite \textit{M. Franca}, Electron. J. Qual. Theory Differ. Equ. 2013, Paper No. 52, 36 p. (2013; Zbl 1340.34198) Full Text: DOI Link
Petrov, A. A. Shadowing in a neighborhood of a separatrix. (English) Zbl 1296.37020 Differ. Equ. 49, No. 13, 1729-1739 (2013). Reviewer: Marcin Kulczycki (Kraków) MSC: 37C50 37E30 37C29 PDF BibTeX XML Cite \textit{A. A. Petrov}, Differ. Equ. 49, No. 13, 1729--1739 (2013; Zbl 1296.37020) Full Text: DOI
Leonov, G. A. Shilnikov chaos in Lorenz-like systems. (English) Zbl 1270.34103 Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 3, Article ID 1350058, 10 p. (2013). MSC: 34C37 34C28 34D08 34C23 PDF BibTeX XML Cite \textit{G. A. Leonov}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 3, Article ID 1350058, 10 p. (2013; Zbl 1270.34103) Full Text: DOI
Sisoev, G. M.; Bennett, C. J. Solitary and transitional waves in gravity-driven two-layer microchannel flow. (English) Zbl 1419.76189 Fluid Dyn. Res. 45, No. 1, Article ID 015503, 32 p. (2013). MSC: 76D33 76E17 PDF BibTeX XML Cite \textit{G. M. Sisoev} and \textit{C. J. Bennett}, Fluid Dyn. Res. 45, No. 1, Article ID 015503, 32 p. (2013; Zbl 1419.76189) Full Text: DOI
Franca, Matteo Bifurcation diagrams for singularly perturbed system. (English) Zbl 1340.34199 Electron. J. Qual. Theory Differ. Equ. 2012, Paper No. 78, 23 p. (2012). MSC: 34E15 34C23 34C45 34C37 37G10 PDF BibTeX XML Cite \textit{M. Franca}, Electron. J. Qual. Theory Differ. Equ. 2012, Paper No. 78, 23 p. (2012; Zbl 1340.34199) Full Text: DOI
Leonov, G. A. General existence conditions of homoclinic trajectories in dissipative systems. Lorenz, Shimizu-Morioka, Lu and Chen systems. (English) Zbl 1266.34079 Phys. Lett., A 376, No. 45, 3045-3050 (2012). MSC: 34C37 37C29 PDF BibTeX XML Cite \textit{G. A. Leonov}, Phys. Lett., A 376, No. 45, 3045--3050 (2012; Zbl 1266.34079) Full Text: DOI
Algaba, Antonio; Fernández-Sánchez, Fernando; Merino, Manuel; Rodríguez-Luis, Alejandro J. Comment on “Existence of heteroclinic orbits of the Shil’nikov type in a 3D quadratic autonomous chaotic system”. (English) Zbl 1247.34072 J. Math. Anal. Appl. 392, No. 1, 99-101 (2012). MSC: 34C37 34C28 37C29 37D45 PDF BibTeX XML Cite \textit{A. Algaba} et al., J. Math. Anal. Appl. 392, No. 1, 99--101 (2012; Zbl 1247.34072) Full Text: DOI
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 PDF BibTeX XML Cite \textit{M. Cameron} et al., J. Nonlinear Sci. 21, No. 2, 193--230 (2011; Zbl 1250.37014) Full Text: DOI
Azamov, A. A.; Akhmedov, O. S. Existence of a complex closed trajectory in a three-dimensional dynamical system. (Russian, English) Zbl 1249.37035 Zh. Vychisl. Mat. Mat. Fiz. 51, No. 8, 1449-1456 (2011); translation in Comput. Math. Math. Phys. 51, No. 8, 1353-1359 (2011). MSC: 37J45 PDF BibTeX XML Cite \textit{A. A. Azamov} and \textit{O. S. Akhmedov}, Zh. Vychisl. Mat. Mat. Fiz. 51, No. 8, 1449--1456 (2011; Zbl 1249.37035); translation in Comput. Math. Math. Phys. 51, No. 8, 1353--1359 (2011) Full Text: DOI
Balasuriya, Sanjeeva A tangential displacement theory for locating perturbed saddles and their manifolds. (English) Zbl 1247.34077 SIAM J. Appl. Dyn. Syst. 10, No. 3, 1100-1126 (2011). Reviewer: Feng Xie (Shanghai) MSC: 34C45 34E10 34A26 34C37 PDF BibTeX XML Cite \textit{S. Balasuriya}, SIAM J. Appl. Dyn. Syst. 10, No. 3, 1100--1126 (2011; Zbl 1247.34077) Full Text: DOI Link
Xiong, Peiying; Huang, Lihong Closed trajectories of a class of planar systems with two intersecting lines of discontinuity. (Chinese. English summary) Zbl 1240.34032 Pure Appl. Math. 27, No. 1, 13-18 (2011). MSC: 34A36 34C20 34C37 34A60 PDF BibTeX XML Cite \textit{P. Xiong} and \textit{L. Huang}, Pure Appl. Math. 27, No. 1, 13--18 (2011; Zbl 1240.34032)
Mekhtiev, R. A. Invariants of the homoclinic trajectories of a two-dimensional diffeomorphism. (English. Russian original) Zbl 1244.37016 Math. Notes 89, No. 5, 712-725 (2011); translation from Mat. Zametki 89, No. 5, 755-770 (2011). Reviewer: Gheorghe Tigan (Timisoara) MSC: 37C29 37C05 PDF BibTeX XML Cite \textit{R. A. Mekhtiev}, Math. Notes 89, No. 5, 712--725 (2011; Zbl 1244.37016); translation from Mat. Zametki 89, No. 5, 755--770 (2011) Full Text: DOI
Magnitskii, N. A. On the topological structure of singular attractors of nonlinear systems of differential equations. (English. Russian original) Zbl 1218.37031 Differ. Equ. 46, No. 11, 1552-1560 (2010); translation from Differ. Uravn. 46, No. 11, 1551-1560 (2010). Reviewer: Peter Zabreiko (Minsk) MSC: 37C10 37C27 37C29 37B55 37C70 PDF BibTeX XML Cite \textit{N. A. Magnitskii}, Differ. Equ. 46, No. 11, 1552--1560 (2010; Zbl 1218.37031); translation from Differ. Uravn. 46, No. 11, 1551--1560 (2010) Full Text: DOI
Shui, Shuliang; Zhang, Xuyang; Li, Jingjing The qualitative analysis of a class of planar Filippov systems. (English) Zbl 1202.34026 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 5, 1277-1288 (2010). Reviewer: Oleg Filatov (Samara) MSC: 34A36 34A60 34C37 PDF BibTeX XML Cite \textit{S. Shui} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 5, 1277--1288 (2010; Zbl 1202.34026) Full Text: DOI
Feng, Zhaosheng; Gao, David Y. A nonconvex dissipative system and its applications. II. (English) Zbl 1156.34005 J. Glob. Optim. 40, No. 4, 637-651 (2008). Reviewer: Vladimir L. Makarov (Kyïv) MSC: 34A05 34C37 34A34 PDF BibTeX XML Cite \textit{Z. Feng} and \textit{D. Y. Gao}, J. Glob. Optim. 40, No. 4, 637--651 (2008; Zbl 1156.34005) Full Text: DOI
Pilyugin, S. Yu. Transversality and local inverse shadowing. (English) Zbl 1164.37311 Regul. Chaotic Dyn. 11, No. 2, 311-318 (2006). MSC: 37C50 37D05 PDF BibTeX XML Cite \textit{S. Yu. Pilyugin}, Regul. Chaotic Dyn. 11, No. 2, 311--318 (2006; Zbl 1164.37311) Full Text: DOI
Zheng, Zuohuan; Chen, Guanrong Existence of heteroclinic orbits of the Shil’nikov type in a 3D quadratic autonomous chaotic system. (English) Zbl 1162.34037 J. Math. Anal. Appl. 315, No. 1, 106-119 (2006). MSC: 34C37 37C29 37D45 34C28 PDF BibTeX XML Cite \textit{Z. Zheng} and \textit{G. Chen}, J. Math. Anal. Appl. 315, No. 1, 106--119 (2006; Zbl 1162.34037) Full Text: DOI
Kupferberg, Krystyna 2-wild trajectories. (English) Zbl 1144.37305 Discrete Contin. Dyn. Syst. 2005, Suppl., 518-523 (2005). MSC: 37C10 57M30 57M60 34C37 PDF BibTeX XML Cite \textit{K. Kupferberg}, Discrete Contin. Dyn. Syst. 2005, 518--523 (2005; Zbl 1144.37305)
Bartolo, R.; Candela, A. M.; Flores, J. L.; Salvatore, A. Periodic trajectories in plane wave type spacetimes. (English) Zbl 1145.58302 Discrete Contin. Dyn. Syst. 2005, Suppl., 77-83 (2005). MSC: 58E10 37J45 49J40 83C35 53C50 PDF BibTeX XML Cite \textit{R. Bartolo} et al., Discrete Contin. Dyn. Syst. 2005, 77--83 (2005; Zbl 1145.58302)
Makin, R. S. On homoclinic trajectories of evolution equations. (English. Russian original) Zbl 1092.34030 Differ. Equ. 41, No. 4, 506-517 (2005); translation from Differ. Uravn. 41, No. 4, 479-489 (2005). Reviewer: Nguyen Van Minh (Carrollton) MSC: 34G20 34C37 PDF BibTeX XML Cite \textit{R. S. Makin}, Differ. Equ. 41, No. 4, 506--517 (2005; Zbl 1092.34030); translation from Differ. Uravn. 41, No. 4, 479--489 (2005) Full Text: DOI
Tyrkiel, Elżbieta On the role of chaotic saddles in generating chaotic dynamics in nonlinear driven oscillators. (English) Zbl 1089.37030 Int. J. Bifurcation Chaos Appl. Sci. Eng. 15, No. 4, 1215-1238 (2005). MSC: 37D45 37G25 34C15 34C23 34C37 PDF BibTeX XML Cite \textit{E. Tyrkiel}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 15, No. 4, 1215--1238 (2005; Zbl 1089.37030) Full Text: DOI
Cooley, Bryan; Newton, Paul K. Iterated impact dynamics of \(N\)-beads on a ring. (English) Zbl 1074.70008 SIAM Rev. 47, No. 2, 273-300 (2005). MSC: 70F35 70K42 37N05 37J45 65C10 PDF BibTeX XML Cite \textit{B. Cooley} and \textit{P. K. Newton}, SIAM Rev. 47, No. 2, 273--300 (2005; Zbl 1074.70008) 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 PDF BibTeX XML Cite \textit{C. Si} and \textit{B. Shen}, Ann. Differ. Equations 19, No. 2, 195--201 (2003; Zbl 1070.34047)
Fu, Wenjiang J.; Zhang, Ji-Min; Pu, Fuquan Singular perturbation to shock wave solutions of Burgers KdV-equation. (English) Zbl 1039.35103 J. Math. Anal. Appl. 287, No. 2, 337-347 (2003). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35Q53 76L05 34C37 PDF BibTeX XML Cite \textit{W. J. Fu} et al., J. Math. Anal. Appl. 287, No. 2, 337--347 (2003; Zbl 1039.35103) Full Text: DOI
Turaev, D.; Rom-Kedar, V. Soft billiards with corners. (English) Zbl 1022.37022 J. Stat. Phys. 112, No. 3-4, 765-813 (2003). MSC: 37D50 37J45 37J40 70H05 PDF BibTeX XML Cite \textit{D. Turaev} and \textit{V. Rom-Kedar}, J. Stat. Phys. 112, No. 3--4, 765--813 (2003; Zbl 1022.37022) Full Text: DOI arXiv
Romanenko, Elena Yu. Dynamical systems induced by continuous time difference equations and long-time behavior of solutions. (English) Zbl 1025.39005 J. Difference Equ. Appl. 9, No. 3-4, 263-280 (2003). Reviewer: Ondřej Došlý (Brno) MSC: 39A11 39A12 37J45 PDF BibTeX XML Cite \textit{E. Yu. Romanenko}, J. Difference Equ. Appl. 9, No. 3--4, 263--280 (2003; Zbl 1025.39005) Full Text: DOI
Bertotti, M. L.; Bolotin, S. V. Chaotic trajectories for natural systems on a torus. (English) Zbl 1032.37046 Discrete Contin. Dyn. Syst. 9, No. 5, 1343-1357 (2003). Reviewer: Giuseppe Gaeta (Roma) MSC: 37J45 37C29 34C37 70H30 58E10 PDF BibTeX XML Cite \textit{M. L. Bertotti} and \textit{S. V. Bolotin}, Discrete Contin. Dyn. Syst. 9, No. 5, 1343--1357 (2003; Zbl 1032.37046) Full Text: DOI
Henrard, Marc; Zanolin, Fabio Bifurcation from a periodic orbit in perturbed planar Hamiltonian systems. (English) Zbl 1039.70012 J. Math. Anal. Appl. 277, No. 1, 79-103 (2003). Reviewer: Václav Burjan (Praha) MSC: 70H09 70K44 70K50 PDF BibTeX XML Cite \textit{M. Henrard} and \textit{F. Zanolin}, J. Math. Anal. Appl. 277, No. 1, 79--103 (2003; Zbl 1039.70012) Full Text: DOI
Leonov, G. A. Bounds for attractors and the existence of homoclinic orbits in the Lorenz system. (English. Russian original) Zbl 1025.34048 J. Appl. Math. Mech. 65, No. 1, 19-32 (2001); translation from Prikl. Mat. Mekh. 65, No. 1, 21-35 (2001). Reviewer: A.A.Martynyuk (Kyïv) MSC: 34D45 34C28 70K44 34C27 PDF BibTeX XML Cite \textit{G. A. Leonov}, Prikl. Mat. Mekh. 65, No. 1, 21--35 (2001; Zbl 1025.34048); translation from Prikl. Mat. Mekh. 65, No. 1, 21--35 (2001)
Novitskii, M.; Safarov, Yu. Periodic points of quasianalytic Hamiltonian billiards. (English) Zbl 1088.37032 Lyubich, Yu. (ed.) et al., Entire functions in modern analysis. Boris Levin memorial conference. Proceedings of the conference, Tel-Aviv, Israel, December 14–19, 1997. Ramat-Gan: Bar-Ilan University, Gelbart Research Institute for Mathematical Sciences; Ramat-Gan: Bar-Ilan University, Emmy Noether Research Institute of Mathematics. Isr. Math. Conf. Proc. 15, 269-287 (2001). MSC: 37J45 35P20 70H12 37D50 PDF BibTeX XML Cite \textit{M. Novitskii} and \textit{Yu. Safarov}, Isr. Math. Conf. Proc. 15, 269--287 (2001; Zbl 1088.37032) Full Text: arXiv
Ivanov, A. V. Study of the double mathematical pendulum. IV: Ouantitative bounds on values of the system parameters when the homoclinic transversal intersections exist. (English) Zbl 1064.70019 Regul. Chaotic Dyn. 6, No. 1, 53-94 (2001). Reviewer: I. A. Taimanov (Novosibirsk) MSC: 70K44 70H08 PDF BibTeX XML Cite \textit{A. V. Ivanov}, Regul. Chaotic Dyn. 6, No. 1, 53--94 (2001; Zbl 1064.70019)
Giannakopoulos, Fotios; Pliete, Karin Planar systems of piecewise linear differential equations with a line of discontinuity. (English) Zbl 1003.34009 Nonlinearity 14, No. 6, 1611-1632 (2001). Reviewer: N.C.Apreutesei (Iasi) MSC: 34A36 34C37 34A60 34C25 PDF BibTeX XML Cite \textit{F. Giannakopoulos} and \textit{K. Pliete}, Nonlinearity 14, No. 6, 1611--1632 (2001; Zbl 1003.34009) Full Text: DOI
Vlasenko, I. Yu. Numerical characteristics on the set of heteroclinic points of Morse-Smale diffeomorphisms on surfaces. (English. Ukrainian original) Zbl 0972.37017 Ukr. Math. J. 52, No. 10, 1618-1622 (2000); translation from Ukr. Mat. Zh. 52, No. 10, 1415-1420 (2000). MSC: 37D15 PDF BibTeX XML Cite \textit{I. Yu. Vlasenko}, Ukr. Mat. Zh. 52, No. 10, 1415--1420 (2000; Zbl 0972.37017); translation from Ukr. Mat. Zh. 52, No. 10, 1415--1420 (2000) Full Text: DOI
Rudnev, M.; Wiggins, S. On a homoclinic splitting problem. (English) Zbl 0996.37069 Regul. Chaotic Dyn. 5, No. 2, 227-242 (2000). Reviewer: I.A.Taimanov (Novosibirsk) MSC: 37J40 70H08 70K44 34C37 PDF BibTeX XML Cite \textit{M. Rudnev} and \textit{S. Wiggins}, Regul. Chaotic Dyn. 5, No. 2, 227--242 (2000; Zbl 0996.37069) Full Text: DOI
Bartolo, Rossella; Mirenghi, Elvira; Tucci, Maria Periodic trajectories on Lorentz manifolds under the action of a vector field. (English) Zbl 0971.58010 J. Differ. Equations 166, No. 2, 478-500 (2000). Reviewer: Andrew Bucki (Oklahoma City) MSC: 58E10 58E05 53C80 37J45 PDF BibTeX XML Cite \textit{R. Bartolo} et al., J. Differ. Equations 166, No. 2, 478--500 (2000; Zbl 0971.58010) Full Text: DOI
Rabinowitz, Paul H. Homoclinics and heteroclinics for a Lagrangian system. (English) Zbl 0936.37036 Ric. Mat. 48, Suppl., 77-98 (1999). Reviewer: Alexei Ivanov (St.Peterburg) MSC: 37J45 34C37 70H03 70K44 PDF BibTeX XML Cite \textit{P. H. Rabinowitz}, Ric. Mat. 48, 77--98 (1999; Zbl 0936.37036)
Sobolev, V. A.; Shchepakina, E. A. Integral surfaces of the variable stability duck-trajectories. (Russian) Zbl 0927.34031 Izv., Ross. Akad. Estestv. Nauk, Mat. Mat. Model. Inform. Upr. 1, No. 3, 151-175 (1997). Reviewer: Norbert Koksch (Dresden) MSC: 34C30 34C45 34C37 34D15 34D35 PDF BibTeX XML Cite \textit{V. A. Sobolev} and \textit{E. A. Shchepakina}, Izv., Ross. Akad. Estestv. Nauk, Mat. Mat. Model. Inform. Upr. 1, No. 3, 151--175 (1997; Zbl 0927.34031)
Sun, Jianhua Equivalence of two Melnikov functions. (English) Zbl 0862.34041 Chin. Sci. Bull. 41, No. 8, 626-630 (1996). Reviewer: S.Yu.Pilyugin (St.Peterburg) MSC: 34C37 34C23 34-02 PDF BibTeX XML Cite \textit{J. Sun}, Chin. Sci. Bull. 41, No. 8, 626--630 (1996; Zbl 0862.34041)
Kolesov, A. Yu.; Rozov, N. Kh. Cycles-ducks of three-dimensional relaxation systems with a fast variable and two slow variables. (English. Russian original) Zbl 0880.34030 Differ. Equations 32, No. 2, 181-185 (1996); translation from Differ. Uravn. 32, No. 2, 180-184 (1996). Reviewer: V.Chernyatin (Szczecin) MSC: 34C05 34A34 34C37 PDF BibTeX XML Cite \textit{A. Yu. Kolesov} and \textit{N. Kh. Rozov}, Differ. Equations 32, No. 2, 181--185 (1996; Zbl 0880.34030); translation from Differ. Uravn. 32, No. 2, 180--184 (1996)
Sánchez-Garduño, Faustino; Maini, Philip K.; Kappos, M. E. A shooting argument approach to a sharp-type solution for nonlinear degenerate Fisher-KPP equations. (English) Zbl 0876.35066 IMA J. Appl. Math. 57, No. 3, 211-221 (1996). MSC: 35K65 34C37 PDF BibTeX XML Cite \textit{F. Sánchez-Garduño} et al., IMA J. Appl. Math. 57, No. 3, 211--221 (1996; Zbl 0876.35066) Full Text: DOI
Sánchez Garduño, F.; Maini, P. K. An approximation to a sharp type solution of a density-dependent reaction-diffusion equation. (English) Zbl 0803.35074 Appl. Math. Lett. 7, No. 1, 47-51 (1994). MSC: 35K57 35C20 PDF BibTeX XML Cite \textit{F. Sánchez Garduño} and \textit{P. K. Maini}, Appl. Math. Lett. 7, No. 1, 47--51 (1994; Zbl 0803.35074) Full Text: DOI
Gruendler, Joseph Homoclinic solutions for autonomous dynamical systems in arbitrary dimension. (English) Zbl 0767.34028 SIAM J. Math. Anal. 23, No. 3, 702-721 (1992). Reviewer: M.Farkas (Budapest) MSC: 34C37 37-XX PDF BibTeX XML Cite \textit{J. Gruendler}, SIAM J. Math. Anal. 23, No. 3, 702--721 (1992; Zbl 0767.34028) Full Text: DOI
Haidegger, Wolfgang Melnikov’s vector - a “Measure of chaos”. (English) Zbl 0761.58048 Rep. Math. Phys. 30, No. 2, 223-231 (1991). Reviewer: B.A.Malomed (Ramat Aviv) MSC: 37J40 34E10 PDF BibTeX XML Cite \textit{W. Haidegger}, Rep. Math. Phys. 30, No. 2, 223--231 (1991; Zbl 0761.58048) Full Text: DOI
Polterovich, L. V. Geodesics on the two-dimensional torus with two rotation numbers. (English. Russian original) Zbl 0675.58030 Math. USSR, Izv. 33, No. 1, 101-114 (1989); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 52, No. 4, 774-787 (1988). Reviewer: F.Przytycki MSC: 37D40 53D25 37J99 PDF BibTeX XML Cite \textit{L. V. Polterovich}, Math. USSR, Izv. 33, No. 1, 101--114 (1989; Zbl 0675.58030); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 52, No. 4, 774--787 (1988) Full Text: DOI
Fiedler, B.; Brunovský, P. Connections in scalar reaction diffusion equations with Neumann boundary condition. (English) Zbl 0616.35044 Differential equations and their applications, Equadiff 6, Proc. 6th Int. Conf., Brno/Czech. 1985, Lect. Notes Math. 1192, 123-128 (1986). MSC: 35K60 35B40 35B30 35B05 35K57 PDF BibTeX XML Full Text: EuDML
Borevich, E. Z. Topological equivalence of two-dimensional Morse-Smale diffeomorphisms. (Russian) Zbl 0545.58030 Izv. Vyssh. Uchebn. Zaved., Mat. 1984, No. 4(263), 3-6 (1984). Reviewer: I.U.Bronstein MSC: 37D15 PDF BibTeX XML Cite \textit{E. Z. Borevich}, Izv. Vyssh. Uchebn. Zaved., Mat. 1984, No. 4(263), 3--6 (1984; Zbl 0545.58030)