Gong, Wenmin Minimax periodic orbits of convex Lagrangian systems on complete Riemannian manifolds. (English) Zbl 07568801 J. Geom. Anal. 32, No. 10, Paper No. 256, 29 p. (2022). MSC: 58E30 37J46 53D40 PDF BibTeX XML Cite \textit{W. Gong}, J. Geom. Anal. 32, No. 10, Paper No. 256, 29 p. (2022; Zbl 07568801) Full Text: DOI OpenURL
Balanov, Zalman; Chen, Fulai; Guo, Jing; Krawcewicz, Wieslaw Periodic solutions to reversible second order autonomous systems with commensurate delays. (English) Zbl 07560282 Topol. Methods Nonlinear Anal. 59, No. 2, 475-498 (2022). MSC: 34K13 37J45 37C80 47H11 39A23 PDF BibTeX XML Cite \textit{Z. Balanov} et al., Topol. Methods Nonlinear Anal. 59, No. 2, 475--498 (2022; Zbl 07560282) Full Text: DOI OpenURL
Muni, Sishu Shankar; McLachlan, Robert I.; Simpson, David J. W. Unfolding globally resonant homoclinic tangencies. (English) Zbl 07557765 Discrete Contin. Dyn. Syst. 42, No. 8, 4013-4030 (2022). MSC: 37G25 37G15 39A23 PDF BibTeX XML Cite \textit{S. S. Muni} et al., Discrete Contin. Dyn. Syst. 42, No. 8, 4013--4030 (2022; Zbl 07557765) Full Text: DOI OpenURL
Lee, Manseob; Oh, Jumi; Park, Junmi Kinematic \(N\)-expansive continuous dynamical systems. (English) Zbl 07556798 Rev. Math. Phys. 34, No. 5, Article ID 2250012, 16 p. (2022). MSC: 37C20 37C05 37C29 37D05 PDF BibTeX XML Cite \textit{M. Lee} et al., Rev. Math. Phys. 34, No. 5, Article ID 2250012, 16 p. (2022; Zbl 07556798) Full Text: DOI OpenURL
Doelman, Arjen Slow localized patterns in singularly perturbed two-component reaction-diffusion equations. (English) Zbl 07554811 Nonlinearity 35, No. 7, 3487-3559 (2022). MSC: 35B25 35B35 35B36 35C07 35K57 37C29 34D15 92D40 PDF BibTeX XML Cite \textit{A. Doelman}, Nonlinearity 35, No. 7, 3487--3559 (2022; Zbl 07554811) Full Text: DOI OpenURL
Zhou, Min Minimal measures on the level sets below Mañé critical value. (English) Zbl 07547963 Calc. Var. Partial Differ. Equ. 61, No. 5, Paper No. 167, 15 p. (2022). MSC: 37J51 37J46 PDF BibTeX XML Cite \textit{M. Zhou}, Calc. Var. Partial Differ. Equ. 61, No. 5, Paper No. 167, 15 p. (2022; Zbl 07547963) Full Text: DOI OpenURL
Cheng, Chong-Qing; Zhou, Min \(C^1\)-continuation of periodic orbits from homoclinics. (English) Zbl 07547847 Pac. J. Math. 317, No. 1, 67-118 (2022). MSC: 37J40 37J46 PDF BibTeX XML Cite \textit{C.-Q. Cheng} and \textit{M. Zhou}, Pac. J. Math. 317, No. 1, 67--118 (2022; Zbl 07547847) Full Text: DOI OpenURL
Piccirillo, Vinícius Control of homoclinic bifurcation in two-dimensional dynamical systems by a feedback law based on \(L^p\) spaces. (English) Zbl 07547322 J. Franklin Inst. 359, No. 10, 5097-5124 (2022). MSC: 93B52 37C29 PDF BibTeX XML Cite \textit{V. Piccirillo}, J. Franklin Inst. 359, No. 10, 5097--5124 (2022; Zbl 07547322) Full Text: DOI OpenURL
Fontaine, Marine; García-Azpeitia, Carlos Braids of the \(N\)-body problem. II: Carousel solutions by cabling central configurations. (English) Zbl 07542663 Calc. Var. Partial Differ. Equ. 61, No. 4, Paper No. 134, 35 p. (2022). MSC: 70F10 37J45 70H09 58D19 PDF BibTeX XML Cite \textit{M. Fontaine} and \textit{C. García-Azpeitia}, Calc. Var. Partial Differ. Equ. 61, No. 4, Paper No. 134, 35 p. (2022; Zbl 07542663) Full Text: DOI OpenURL
Jawarneh, Ibrahim; Altawallbeh, Zuhier A heteroclinic bifurcation in a motion of pendulum: numerical-topological approach. (English) Zbl 07541715 Int. J. Appl. Comput. Math. 8, No. 3, Paper No. 105, 14 p. (2022). MSC: 37B30 37C29 34C23 70F40 74H15 PDF BibTeX XML Cite \textit{I. Jawarneh} and \textit{Z. Altawallbeh}, Int. J. Appl. Comput. Math. 8, No. 3, Paper No. 105, 14 p. (2022; Zbl 07541715) Full Text: DOI OpenURL
Vallipriyatharsini, S.; Bazeera, A. Z.; Chinnathambi, V.; Rajasekar, S. Homoclinic transition to chaos in the Duffing oscillator driven by periodic piecewise linear forces. (English) Zbl 07541409 J. Nonlinear Anal. Optim. 13, No. 1, 25-38 (2022). MSC: 37D45 34C37 34D10 34A08 37J20 37C29 PDF BibTeX XML Cite \textit{S. Vallipriyatharsini} et al., J. Nonlinear Anal. Optim. 13, No. 1, 25--38 (2022; Zbl 07541409) Full Text: Link OpenURL
Barrientos, Pablo G. Historic wandering domains near cycles. (English) Zbl 07539301 Nonlinearity 35, No. 6, 3191-3208 (2022). MSC: 37D45 37C29 37G25 PDF BibTeX XML Cite \textit{P. G. Barrientos}, Nonlinearity 35, No. 6, 3191--3208 (2022; Zbl 07539301) Full Text: DOI OpenURL
Benedetti, Gabriele; Kang, Jungsoo Relative Hofer-Zehnder capacity and positive symplectic homology. (English) Zbl 07528628 J. Fixed Point Theory Appl. 24, No. 2, Paper No. 44, 32 p. (2022). MSC: 37J46 53D40 PDF BibTeX XML Cite \textit{G. Benedetti} and \textit{J. Kang}, J. Fixed Point Theory Appl. 24, No. 2, Paper No. 44, 32 p. (2022; Zbl 07528628) Full Text: DOI OpenURL
Nitta, Koki; Yamamoto, Nobito; Matsue, Kaname A numerical verification method to specify homoclinic orbits as application of local Lyapunov functions. (English) Zbl 07523436 Japan J. Ind. Appl. Math. 39, No. 2, 467-513 (2022). MSC: 34C37 37M21 65G30 PDF BibTeX XML Cite \textit{K. Nitta} et al., Japan J. Ind. Appl. Math. 39, No. 2, 467--513 (2022; Zbl 07523436) Full Text: DOI OpenURL
Xing, Qin Maslov index for heteroclinic orbits of non-Hamiltonian systems on a two-dimensional phase space. (English) Zbl 07522886 Topol. Methods Nonlinear Anal. 59, No. 1, 113-130 (2022). MSC: 34C37 53D12 35C07 58J30 PDF BibTeX XML Cite \textit{Q. Xing}, Topol. Methods Nonlinear Anal. 59, No. 1, 113--130 (2022; Zbl 07522886) Full Text: DOI OpenURL
Rodrigues, Alexandre A. P. Unfolding a Bykov attractor: from an attracting torus to strange attractors. (English) Zbl 07522540 J. Dyn. Differ. Equations 34, No. 2, 1643-1677 (2022). MSC: 34C28 34C37 37D05 37D45 37G35 PDF BibTeX XML Cite \textit{A. A. P. Rodrigues}, J. Dyn. Differ. Equations 34, No. 2, 1643--1677 (2022; Zbl 07522540) Full Text: DOI OpenURL
Zhu, Jing-Lei; Wang, Jia-Bing; Dong, Fang-Di Spatial propagation for the lattice competition system in moving habitats. (English) Zbl 07517416 Z. Angew. Math. Phys. 73, No. 3, Paper No. 92, 29 p. (2022). MSC: 34K31 34K10 34K16 92D25 PDF BibTeX XML Cite \textit{J.-L. Zhu} et al., Z. Angew. Math. Phys. 73, No. 3, Paper No. 92, 29 p. (2022; Zbl 07517416) Full Text: DOI OpenURL
Baesens, C. N.; Di Lallo, F.; MacKay, R. S. Corrigendum to: “Simplest bifurcation diagrams for monotone families of vector fields on a torus”. (English) Zbl 07515318 Nonlinearity 35, No. 5, C5-C8 (2022). MSC: 37E35 37G10 37G15 37G20 37C65 PDF BibTeX XML Cite \textit{C. N. Baesens} et al., Nonlinearity 35, No. 5, C5--C8 (2022; Zbl 07515318) Full Text: DOI OpenURL
Yokoyama, Tomoo Refinements of topological invariants of flows. (English) Zbl 07513972 Discrete Contin. Dyn. Syst. 42, No. 5, 2295-2331 (2022). MSC: 37B35 37C55 37J46 37E35 54B15 PDF BibTeX XML Cite \textit{T. Yokoyama}, Discrete Contin. Dyn. Syst. 42, No. 5, 2295--2331 (2022; Zbl 07513972) Full Text: DOI OpenURL
Arioli, Gianni; Koch, Hans Some reversing orbits for a rattleback model. (English) Zbl 07512312 J. Nonlinear Sci. 32, No. 3, Paper No. 38, 23 p. (2022). MSC: 37C27 37C29 70E15 37J60 70K44 PDF BibTeX XML Cite \textit{G. Arioli} and \textit{H. Koch}, J. Nonlinear Sci. 32, No. 3, Paper No. 38, 23 p. (2022; Zbl 07512312) Full Text: DOI OpenURL
Kiriki, Shin; Nakano, Yushi; Soma, Teruhiko Emergence via non-existence of averages. (English) Zbl 07507726 Adv. Math. 400, Article ID 108254, 30 p. (2022). MSC: 37C40 37C29 PDF BibTeX XML Cite \textit{S. Kiriki} et al., Adv. Math. 400, Article ID 108254, 30 p. (2022; Zbl 07507726) Full Text: DOI OpenURL
Kim, Joontae; Kim, Seongchan; Kwon, Myeonggi Remarks on the systoles of symmetric convex hypersurfaces and symplectic capacities. (English) Zbl 07506818 J. Fixed Point Theory Appl. 24, No. 2, Paper No. 28, 26 p. (2022). MSC: 37J45 37C80 53D40 PDF BibTeX XML Cite \textit{J. Kim} et al., J. Fixed Point Theory Appl. 24, No. 2, Paper No. 28, 26 p. (2022; Zbl 07506818) Full Text: DOI OpenURL
Lin, Genghong; Yu, Jianshe Homoclinic solutions of periodic discrete Schrödinger equations with local superquadratic conditions. (English) Zbl 07504991 SIAM J. Math. Anal. 54, No. 2, 1966-2005 (2022). MSC: 35Q55 39A12 39A70 35A01 35B38 35A15 37C29 PDF BibTeX XML Cite \textit{G. Lin} and \textit{J. Yu}, SIAM J. Math. Anal. 54, No. 2, 1966--2005 (2022; Zbl 07504991) Full Text: DOI OpenURL
Chen, Fanfan; Qian, Dingbian An extension of the Poincaré-Birkhoff theorem for Hamiltonian systems coupling resonant linear components with twisting components. (English) Zbl 07500536 J. Differ. Equations 321, 415-448 (2022). MSC: 37J45 70H12 PDF BibTeX XML Cite \textit{F. Chen} and \textit{D. Qian}, J. Differ. Equations 321, 415--448 (2022; Zbl 07500536) Full Text: DOI OpenURL
Zhang, Wen; Yang, Gang; Liao, Fangfang Homoclinic orbits for first-order Hamiltonian system with local super-quadratic growth condition. (English) Zbl 07499559 Complex Var. Elliptic Equ. 67, No. 4, 988-1011 (2022). MSC: 37J45 70H05 PDF BibTeX XML Cite \textit{W. Zhang} et al., Complex Var. Elliptic Equ. 67, No. 4, 988--1011 (2022; Zbl 07499559) Full Text: DOI OpenURL
Capiński, Maciej J.; Guardia, Marcel; Martín, Pau; M-Seara, Tere; Zgliczyński, Piotr Oscillatory motions and parabolic manifolds at infinity in the planar circular restricted three body problem. (English) Zbl 07496399 J. Differ. Equations 320, 316-370 (2022). MSC: 37C29 37J46 70F07 PDF BibTeX XML Cite \textit{M. J. Capiński} et al., J. Differ. Equations 320, 316--370 (2022; Zbl 07496399) Full Text: DOI OpenURL
Coomes, Brian A.; Koçak, Hüseyin; Palmer, Kenneth J. Shilnikov saddle-focus homoclinic orbits from numerics: higher dimensions. (English) Zbl 07491600 J. Dyn. Differ. Equations 34, No. 1, 29-62 (2022). MSC: 37M20 37C29 37C50 37G20 65P20 PDF BibTeX XML Cite \textit{B. A. Coomes} et al., J. Dyn. Differ. Equations 34, No. 1, 29--62 (2022; Zbl 07491600) Full Text: DOI OpenURL
Jaquette, Jonathan; Lessard, Jean-Philippe; Takayasu, Akitoshi Global dynamics in nonconservative nonlinear Schrödinger equations. (English) Zbl 07483908 Adv. Math. 398, Article ID 108234, 70 p. (2022). Reviewer: Anthony D. Osborne (Keele) MSC: 35Q55 35B40 35B20 37K99 37M21 35A01 PDF BibTeX XML Cite \textit{J. Jaquette} et al., Adv. Math. 398, Article ID 108234, 70 p. (2022; Zbl 07483908) Full Text: DOI arXiv OpenURL
Liu, Hui; Zhang, Ling Multiplicity of closed Reeb orbits on dynamically convex \(\mathbb{R}P^{2n-1} \) for \(n\geq2\). (English) Zbl 07481820 Discrete Contin. Dyn. Syst. 42, No. 4, 1801-1816 (2022). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J39 37J46 PDF BibTeX XML Cite \textit{H. Liu} and \textit{L. Zhang}, Discrete Contin. Dyn. Syst. 42, No. 4, 1801--1816 (2022; Zbl 07481820) Full Text: DOI OpenURL
Li, Xiaolong; Shinohara, Katsutoshi On super-exponential divergence of periodic points for partially hyperbolic systems. (English) Zbl 07481817 Discrete Contin. Dyn. Syst. 42, No. 4, 1707-1729 (2022). Reviewer: Miguel Paternain (Montevideo) MSC: 37D30 37D25 37C20 37C25 37C29 PDF BibTeX XML Cite \textit{X. Li} and \textit{K. Shinohara}, Discrete Contin. Dyn. Syst. 42, No. 4, 1707--1729 (2022; Zbl 07481817) Full Text: DOI arXiv OpenURL
Postlethwaite, Claire M.; Rucklidge, Alastair M. Stability of cycling behaviour near a heteroclinic network model of rock-paper-scissors-lizard-spock. (English) Zbl 07479726 Nonlinearity 35, No. 4, 1702-1733 (2022). MSC: 37C29 37C81 34C37 34C28 37G15 37G40 91A22 PDF BibTeX XML Cite \textit{C. M. Postlethwaite} and \textit{A. M. Rucklidge}, Nonlinearity 35, No. 4, 1702--1733 (2022; Zbl 07479726) Full Text: DOI arXiv OpenURL
Kajihara, Yuika; Shibayama, Mitsuru Variational existence proof for multiple periodic orbits in the planar circular restricted three-body problem. (English) Zbl 07479719 Nonlinearity 35, No. 3, 1431-1446 (2022). MSC: 70F07 70G75 37J46 PDF BibTeX XML Cite \textit{Y. Kajihara} and \textit{M. Shibayama}, Nonlinearity 35, No. 3, 1431--1446 (2022; Zbl 07479719) Full Text: DOI OpenURL
Hu, Xi Jun; Wu, Li Mean index for non-periodic orbits in Hamiltonian systems. (English) Zbl 07473251 Acta Math. Sin., Engl. Ser. 38, No. 1, 291-310 (2022). MSC: 37J46 37C55 47A53 53D12 PDF BibTeX XML Cite \textit{X. J. Hu} and \textit{L. Wu}, Acta Math. Sin., Engl. Ser. 38, No. 1, 291--310 (2022; Zbl 07473251) Full Text: DOI arXiv OpenURL
Liu, Zhong Jie; Wang, Fan Jing; Zhang, Duan Zhi Brake orbits of a reversible even Hamiltonian system near an equilibrium. (English) Zbl 07473249 Acta Math. Sin., Engl. Ser. 38, No. 1, 263-280 (2022). MSC: 37J46 37J51 37J25 70H14 70K42 PDF BibTeX XML Cite \textit{Z. J. Liu} et al., Acta Math. Sin., Engl. Ser. 38, No. 1, 263--280 (2022; Zbl 07473249) Full Text: DOI OpenURL
Yu, Guo Wei Chaotic dynamics of monotone twist maps. (English) Zbl 07473245 Acta Math. Sin., Engl. Ser. 38, No. 1, 179-204 (2022). MSC: 37E40 37C29 37B40 37G15 PDF BibTeX XML Cite \textit{G. W. Yu}, Acta Math. Sin., Engl. Ser. 38, No. 1, 179--204 (2022; Zbl 07473245) Full Text: DOI OpenURL
Ji, Shu Guan; Li, Xiao Wan Solitary wave solutions of delayed coupled Higgs field equation. (English) Zbl 1482.35173 Acta Math. Sin., Engl. Ser. 38, No. 1, 97-106 (2022). MSC: 35Q35 35L05 74J30 34D15 35C08 76B25 47A13 35B25 37C29 81V25 PDF BibTeX XML Cite \textit{S. G. Ji} and \textit{X. W. Li}, Acta Math. Sin., Engl. Ser. 38, No. 1, 97--106 (2022; Zbl 1482.35173) Full Text: DOI OpenURL
Gierzkiewicz, Anna; Zgliczyński, Piotr From the Sharkovskii theorem to periodic orbits for the Rössler system. (English) Zbl 07471764 J. Differ. Equations 314, 733-751 (2022). MSC: 37C27 37J46 37J39 PDF BibTeX XML Cite \textit{A. Gierzkiewicz} and \textit{P. Zgliczyński}, J. Differ. Equations 314, 733--751 (2022; Zbl 07471764) Full Text: DOI arXiv OpenURL
Jaquette, Jonathan; Lessard, Jean-Philippe; Takayasu, Akitoshi Singularities and heteroclinic connections in complex-valued evolutionary equations with a quadratic nonlinearity. (English) Zbl 1483.35119 Commun. Nonlinear Sci. Numer. Simul. 107, Article ID 106188, 14 p. (2022). MSC: 35K58 35K20 35B44 37C29 PDF BibTeX XML Cite \textit{J. Jaquette} et al., Commun. Nonlinear Sci. Numer. Simul. 107, Article ID 106188, 14 p. (2022; Zbl 1483.35119) Full Text: DOI arXiv OpenURL
Le Calvez, Patrice; Sambarino, Martín Homoclinic orbits for area preserving diffeomorphisms of surfaces. (English) Zbl 07469304 Ergodic Theory Dyn. Syst. 42, No. 3, 1122-1165 (2022). Reviewer: Antonio Linero Bas (Murcia) MSC: 37E30 37C20 37G20 37C29 37C25 37J46 PDF BibTeX XML Cite \textit{P. Le Calvez} and \textit{M. Sambarino}, Ergodic Theory Dyn. Syst. 42, No. 3, 1122--1165 (2022; Zbl 07469304) Full Text: DOI arXiv OpenURL
Kaloshin, Vadim; Sorrentino, Alfonso Inverse problems and rigidity questions in billiard dynamics. (English) Zbl 07469301 Ergodic Theory Dyn. Syst. 42, No. 3, 1023-1056 (2022). Reviewer: Abderrazek Benhassine (Monastir) MSC: 37C83 37E40 37J35 37J46 37J51 37J70 58J50 PDF BibTeX XML Cite \textit{V. Kaloshin} and \textit{A. Sorrentino}, Ergodic Theory Dyn. Syst. 42, No. 3, 1023--1056 (2022; Zbl 07469301) Full Text: DOI OpenURL
Gidea, Marian; de la Llave, Rafael; Musser, Maxwell Melnikov method for non-conservative perturbations of the restricted three-body problem. (English) Zbl 07467871 Celest. Mech. Dyn. Astron. 134, No. 1, Paper No. 2, 42 p. (2022). MSC: 70F07 70F15 37N05 37J40 70K44 PDF BibTeX XML Cite \textit{M. Gidea} et al., Celest. Mech. Dyn. Astron. 134, No. 1, Paper No. 2, 42 p. (2022; Zbl 07467871) Full Text: DOI arXiv OpenURL
Asaoka, Masayuki Stable intersection of Cantor sets in higher dimension and robust homoclinic tangency of the largest codimension. (English) Zbl 07462174 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 07462174) Full Text: DOI arXiv OpenURL
Chen, Fanfan; Qian, Dingbian; Sun, Xiying; Wu, Yinyin Subharmonic solutions of bounded coupled Hamiltonian systems with sublinear growth. (English) Zbl 07461711 Commun. Pure Appl. Anal. 21, No. 1, 337-354 (2022). Reviewer: Alessandro Fonda (Trieste) MSC: 34C25 37J46 PDF BibTeX XML Cite \textit{F. Chen} et al., Commun. Pure Appl. Anal. 21, No. 1, 337--354 (2022; Zbl 07461711) Full Text: DOI OpenURL
Kuang, Juhong; Chen, Weiyi; Guo, Zhiming Periodic solutions with prescribed minimal period for second order even Hamiltonian systems. (English) Zbl 07461698 Commun. Pure Appl. Anal. 21, No. 1, 47-59 (2022). MSC: 37J46 37J51 PDF BibTeX XML Cite \textit{J. Kuang} et al., Commun. Pure Appl. Anal. 21, No. 1, 47--59 (2022; Zbl 07461698) Full Text: DOI OpenURL
Gedeon, Tomáš; Humphries, Antony R.; Mackey, Michael C.; Walther, Hans-Otto; Wang, Zhao Operon dynamics with state dependent transcription and/or translation delays. (English) Zbl 1480.92074 J. Math. Biol. 84, No. 1-2, Paper No. 2, 74 p. (2022). MSC: 92C40 92C37 34K43 37G15 34K16 PDF BibTeX XML Cite \textit{T. Gedeon} et al., J. Math. Biol. 84, No. 1--2, Paper No. 2, 74 p. (2022; Zbl 1480.92074) Full Text: DOI arXiv OpenURL
Jendrej, Jacek; Smyrnelis, Panayotis Nondegeneracy of heteroclinic orbits for a class of potentials on the plane. (English) Zbl 07443310 Appl. Math. Lett. 124, Article ID 107681, 6 p. (2022). Reviewer: Abderrazek Benhassine (Monastir) MSC: 37J46 37C29 PDF BibTeX XML Cite \textit{J. Jendrej} and \textit{P. Smyrnelis}, Appl. Math. Lett. 124, Article ID 107681, 6 p. (2022; Zbl 07443310) Full Text: DOI arXiv OpenURL
Kuang, Wentian; Yan, Duokui Geometric properties of minimizers in the planar three-body problem with two equal masses. (English) Zbl 07432484 Calc. Var. Partial Differ. Equ. 61, No. 1, Paper No. 8, 21 p. (2022). Reviewer: Predrag Punosevac (Pittsburgh) MSC: 37N05 37J51 37J46 70F07 70F15 PDF BibTeX XML Cite \textit{W. Kuang} and \textit{D. Yan}, Calc. Var. Partial Differ. Equ. 61, No. 1, Paper No. 8, 21 p. (2022; Zbl 07432484) Full Text: DOI arXiv OpenURL
Du, Zengji; Li, Ji Geometric singular perturbation analysis to Camassa-Holm Kuramoto-Sivashinsky equation. (English) Zbl 1477.35160 J. Differ. Equations 306, 418-438 (2022). MSC: 35Q35 76B25 35C08 35B44 37K10 34C37 PDF BibTeX XML Cite \textit{Z. Du} and \textit{J. Li}, J. Differ. Equations 306, 418--438 (2022; Zbl 1477.35160) Full Text: DOI OpenURL
Humilière, Vincent A \(C^\infty\) clossing lemma (after Asaoka and Irie). (English) Zbl 07554175 Séminaire Bourbaki. Volume 2019/2021. Exposés 1166–1180. Avec table par noms d’auteurs de 1948/49 à 2019/21. Paris: Société Mathématique de France (SMF). Astérisque 430, 55-92, Exp. No. 1168 (2021). MSC: 37J10 37E30 37J45 53D42 PDF BibTeX XML Cite \textit{V. Humilière}, Astérisque 430, 55--92, Exp. No. 1168 (2021; Zbl 07554175) Full Text: DOI OpenURL
Arnaud, Marie-Claude The proof of Herman’s positive entropy conjecture (after Berger and Turaev). (English) Zbl 07554173 Séminaire Bourbaki. Volume 2019/2021. Exposés 1166–1180. Avec table par noms d’auteurs de 1948/49 à 2019/21. Paris: Société Mathématique de France (SMF). Astérisque 430, 1-26, Exp. No. 1166 (2021). MSC: 37C40 37A05 37C29 37A05 PDF BibTeX XML Cite \textit{M.-C. Arnaud}, Astérisque 430, 1--26, Exp. No. 1166 (2021; Zbl 07554173) Full Text: DOI OpenURL
Ning, Yan; Lu, Daowei; Mao, Anmin Existence and subharmonicity of solutions for nonsmooth \(p\)-Laplacian systems. (English) Zbl 07536372 AIMS Math. 6, No. 10, 10947-10963 (2021). MSC: 37J12 37J46 PDF BibTeX XML Cite \textit{Y. Ning} et al., AIMS Math. 6, No. 10, 10947--10963 (2021; Zbl 07536372) Full Text: DOI OpenURL
Hosham, H. A.; Hafez, N. M. Bifurcation phenomena in the peristaltic transport of non-Newtonian fluid with heat and mass transfer effects. (English) Zbl 07534959 J. Appl. Math. Comput. 67, No. 1-2, 275-299 (2021). MSC: 76A05 35B32 PDF BibTeX XML Cite \textit{H. A. Hosham} and \textit{N. M. Hafez}, J. Appl. Math. Comput. 67, No. 1--2, 275--299 (2021; Zbl 07534959) Full Text: DOI OpenURL
Khaled, Khachnaoui Nehari type solutions for fractional Hamiltonian systems. (English) Zbl 1486.35434 Chaos Solitons Fractals 147, Article ID 110943, 9 p. (2021). MSC: 35R11 35A15 37J46 PDF BibTeX XML Cite \textit{K. Khaled}, Chaos Solitons Fractals 147, Article ID 110943, 9 p. (2021; Zbl 1486.35434) Full Text: DOI OpenURL
Lv, Haiyan; Chen, Guanwei Homoclinic orbits of sub-linear Hamiltonian systems with perturbed terms. (English) Zbl 07509876 Bound. Value Probl. 2021, Paper No. 32, 7 p. (2021). MSC: 37J45 37K05 PDF BibTeX XML Cite \textit{H. Lv} and \textit{G. Chen}, Bound. Value Probl. 2021, Paper No. 32, 7 p. (2021; Zbl 07509876) Full Text: DOI OpenURL
Guo, Siyu; Luo, Albert C. J. A family of periodic motions to chaos with infinite homoclinic orbits in the Lorenz system. (English) Zbl 07503327 Lobachevskii J. Math. 42, No. 14, 3382-3437 (2021). MSC: 37-XX 34-XX PDF BibTeX XML Cite \textit{S. Guo} and \textit{A. C. J. Luo}, Lobachevskii J. Math. 42, No. 14, 3382--3437 (2021; Zbl 07503327) Full Text: DOI OpenURL
Tzemos, A. C.; Contopoulos, G. Order and chaos in time periodic Hamiltonian systems. (English) Zbl 07479448 Physica D 419, Article ID 132847, 12 p. (2021). MSC: 37J46 37J12 34C28 65P10 PDF BibTeX XML Cite \textit{A. C. Tzemos} and \textit{G. Contopoulos}, Physica D 419, Article ID 132847, 12 p. (2021; Zbl 07479448) Full Text: DOI OpenURL
Lerman, Ariel; Zharnitsky, Vadim Whispering gallery orbits in Sinai oscillator trap. (English) Zbl 07477892 Physica D 425, Article ID 132960, 7 p. (2021). MSC: 37J40 37J46 70F35 PDF BibTeX XML Cite \textit{A. Lerman} and \textit{V. Zharnitsky}, Physica D 425, Article ID 132960, 7 p. (2021; Zbl 07477892) Full Text: DOI arXiv OpenURL
Arenson, Joshua G.; Mitchell, Kevin A. Topological dynamics of volume-preserving maps without an equatorial heteroclinic curve. (English) Zbl 07477871 Physica D 424, Article ID 132925, 23 p. (2021). MSC: 37M21 37C29 37C79 37A05 37C25 37C20 37D10 PDF BibTeX XML Cite \textit{J. G. Arenson} and \textit{K. A. Mitchell}, Physica D 424, Article ID 132925, 23 p. (2021; Zbl 07477871) Full Text: DOI arXiv OpenURL
Hasík, Karel; Kopfová, Jana; Nábělková, Petra; Trofimchuk, Sergei On pushed wavefronts of monostable equation with unimodal delayed reaction. (English) Zbl 07472927 Discrete Contin. Dyn. Syst. 41, No. 12, 5979-6000 (2021). Reviewer: Ioannis P. Stavroulakis (Ioannina) MSC: 34K10 34K16 35K57 92D25 PDF BibTeX XML Cite \textit{K. Hasík} et al., Discrete Contin. Dyn. Syst. 41, No. 12, 5979--6000 (2021; Zbl 07472927) Full Text: DOI arXiv OpenURL
Haigh, Douglas; Katsanikas, Matthaios; Agaoglou, Makrina; Wiggins, Stephen The time evolution of the trajectories after the selectivity in a symmetric potential energy surface with a post-transition-state bifurcation. (English) Zbl 07472286 Regul. Chaotic Dyn. 26, No. 6, 763-774 (2021). MSC: 37G15 70K44 70H05 70H07 34C45 34C37 PDF BibTeX XML Cite \textit{D. Haigh} et al., Regul. Chaotic Dyn. 26, No. 6, 763--774 (2021; Zbl 07472286) Full Text: DOI arXiv OpenURL
Grines, V. Z.; Morozov, A. I.; Pochinka, O. V. Realization of homeomorphisms of surfaces of algebraically finite order by Morse-Smale diffeomorphisms with orientable heteroclinic intersection. (English. Russian original) Zbl 1487.37026 Proc. Steklov Inst. Math. 315, No. 1, 85-97 (2021); translation from Tr. Mat. Inst. Steklova 315, 95-107 (2021). MSC: 37C20 37C15 37C05 37C29 37E30 37D15 58C25 57R50 PDF BibTeX XML Cite \textit{V. Z. Grines} et al., Proc. Steklov Inst. Math. 315, No. 1, 85--97 (2021; Zbl 1487.37026); translation from Tr. Mat. Inst. Steklova 315, 95--107 (2021) Full Text: DOI OpenURL
Cao, Zhenbang; Li, Denghui; Grebogi, Celso; Yue, Yuan; Xie, Jianhua On the global dynamical properties of a Fermi-Ulam model. (English) Zbl 07463885 J. Difference Equ. Appl. 27, No. 12, 1647-1656 (2021). MSC: 37J46 37E40 70F35 70E55 PDF BibTeX XML Cite \textit{Z. Cao} et al., J. Difference Equ. Appl. 27, No. 12, 1647--1656 (2021; Zbl 07463885) Full Text: DOI OpenURL
Long, Yiming The Rabinowitz minimal periodic solution conjecture. (English) Zbl 07456328 Int. J. Math. 32, No. 12, Article ID 2140010, 21 p. (2021). Reviewer: Zdzisław Dzedzej (Gdańsk) MSC: 37J51 37J46 58E05 34C25 PDF BibTeX XML Cite \textit{Y. Long}, Int. J. Math. 32, No. 12, Article ID 2140010, 21 p. (2021; Zbl 07456328) Full Text: DOI OpenURL
Asselle, Luca; Benedetti, Gabriele; Mazzucchelli, Marco Minimal boundaries in Tonelli Lagrangian systems. (English) Zbl 1487.37078 Int. Math. Res. Not. 2021, No. 20, 15746-15787 (2021). MSC: 37J51 37J46 37J39 37D40 PDF BibTeX XML Cite \textit{L. Asselle} et al., Int. Math. Res. Not. 2021, No. 20, 15746--15787 (2021; Zbl 1487.37078) Full Text: DOI arXiv OpenURL
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 OpenURL
Hasan, Cris R.; Osinga, Hinke M.; Postlethwaite, Claire M.; Rucklidge, Alastair M. Numerical continuation of spiral waves in heteroclinic networks of cyclic dominance. (English) Zbl 1479.35533 IMA J. Appl. Math. 86, No. 5, 1141-1163 (2021). MSC: 35K58 35K40 37J46 PDF BibTeX XML Cite \textit{C. R. Hasan} et al., IMA J. Appl. Math. 86, No. 5, 1141--1163 (2021; Zbl 1479.35533) Full Text: DOI arXiv OpenURL
de León, Manuel; Laínz, Manuel; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso Constrained Lagrangian dissipative contact dynamics. (English) Zbl 07452078 J. Math. Phys. 62, No. 12, 122902, 23 p. (2021). MSC: 70H30 70F25 37J46 37J55 37J60 PDF BibTeX XML Cite \textit{M. de León} et al., J. Math. Phys. 62, No. 12, 122902, 23 p. (2021; Zbl 07452078) Full Text: DOI arXiv OpenURL
Frauenfelder, U.; Weber, J. The regularized free fall. I: Index computations. (English) Zbl 1485.37061 Russ. J. Math. Phys. 28, No. 4, 464-487 (2021). MSC: 37J51 37J46 37J39 53D12 37B30 58J20 PDF BibTeX XML Cite \textit{U. Frauenfelder} and \textit{J. Weber}, Russ. J. Math. Phys. 28, No. 4, 464--487 (2021; Zbl 1485.37061) Full Text: DOI arXiv OpenURL
Song, Mingliang; Li, Runzhen A nonzero solution for bounded selfadjoint operator equations and homoclinic orbits of Hamiltonian systems. (English) Zbl 07444225 Electron. J. Qual. Theory Differ. Equ. 2021, Paper No. 68, 13 p. (2021). MSC: 34G20 34C37 37J46 PDF BibTeX XML Cite \textit{M. Song} and \textit{R. Li}, Electron. J. Qual. Theory Differ. Equ. 2021, Paper No. 68, 13 p. (2021; Zbl 07444225) Full Text: DOI OpenURL
Katsanikas, M.; Agaoglou, M.; Wiggins, S. Bifurcation of dividing surfaces constructed from a pitchfork bifurcation of periodic orbits in a symmetric potential energy surface with a post-transition-state bifurcation. (English) Zbl 1485.37054 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 14, Article ID 2130041, 16 p. (2021). MSC: 37J20 37J46 70H33 PDF BibTeX XML Cite \textit{M. Katsanikas} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 14, Article ID 2130041, 16 p. (2021; Zbl 1485.37054) Full Text: DOI arXiv OpenURL
Wang, Xianjun; Gu, Huaguang; Lu, Bo Big homoclinic orbit bifurcation underlying post-inhibitory rebound spike and a novel threshold curve of a neuron. (English) Zbl 1484.37054 Electron Res. Arch. 29, No. 5, 2987-3015 (2021). MSC: 37G15 37N25 92B20 37C29 PDF BibTeX XML Cite \textit{X. Wang} et al., Electron Res. Arch. 29, No. 5, 2987--3015 (2021; Zbl 1484.37054) Full Text: DOI OpenURL
Strzelecki, Daniel Bifurcations of quasi-periodic solutions from relative equilibria in the Lennard-Jones 2-body problem. (English) Zbl 1484.37060 Celest. Mech. Dyn. Astron. 133, No. 9, Paper No. 44, 12 p. (2021). MSC: 37J20 37J46 37N05 70F10 70K50 PDF BibTeX XML Cite \textit{D. Strzelecki}, Celest. Mech. Dyn. Astron. 133, No. 9, Paper No. 44, 12 p. (2021; Zbl 1484.37060) Full Text: DOI OpenURL
Heidari Tavani, Mohammad Reza Existence results for a class of \(p\)-Hamiltonian systems. (English) Zbl 1484.37071 J. Math. Ext. 15, No. 2, Paper No. 4, 15 p. (2021). MSC: 37J51 37J46 37K58 58E30 35J20 PDF BibTeX XML Cite \textit{M. R. Heidari Tavani}, J. Math. Ext. 15, No. 2, Paper No. 4, 15 p. (2021; Zbl 1484.37071) Full Text: Link OpenURL
Li, Shimin; Liu, Changjian; Llibre, Jaume The planar discontinuous piecewise linear refracting systems have at most one limit cycle. (English) Zbl 1474.34286 Nonlinear Anal., Hybrid Syst. 41, Article ID 101045, 14 p. (2021). MSC: 34C37 34C07 37G15 PDF BibTeX XML Cite \textit{S. Li} et al., Nonlinear Anal., Hybrid Syst. 41, Article ID 101045, 14 p. (2021; Zbl 1474.34286) Full Text: DOI OpenURL
Boscaggin, Alberto; Dambrosio, Walter; Feltrin, Guglielmo; Terracini, Susanna Parabolic orbits in Celestial Mechanics: a functional-analytic approach. (English) Zbl 1487.37077 Proc. Lond. Math. Soc. (3) 123, No. 2, 203-230 (2021). Reviewer: Alain Albouy (Paris) MSC: 37J46 37N05 70F10 70F15 PDF BibTeX XML Cite \textit{A. Boscaggin} et al., Proc. Lond. Math. Soc. (3) 123, No. 2, 203--230 (2021; Zbl 1487.37077) Full Text: DOI arXiv OpenURL
Sonna, Armel Viquit; Yemele, David Control of chaotic behavior in the dynamics of generalized Bonhoeffer-van der Pol system: effect of asymmetric parameter. (English) Zbl 1482.34086 Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 106017, 26 p. (2021). MSC: 34B30 34C23 34C37 34C28 70K40 70K55 34H10 34E10 PDF BibTeX XML Cite \textit{A. V. Sonna} and \textit{D. Yemele}, Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 106017, 26 p. (2021; Zbl 1482.34086) Full Text: DOI OpenURL
Pires, Leonardo; La Guardia, Giuliano G. A Lipschitz version of the \(\lambda\)-lemma and a characterization of homoclinic and heteroclinic orbits. (English) Zbl 07421284 Qual. Theory Dyn. Syst. 20, No. 3, Paper No. 82, 15 p. (2021). Reviewer: Mohammad Reza Molaei (Kerman) MSC: 37D15 37D05 37D10 37C29 PDF BibTeX XML Cite \textit{L. Pires} and \textit{G. G. La Guardia}, Qual. Theory Dyn. Syst. 20, No. 3, Paper No. 82, 15 p. (2021; Zbl 07421284) Full Text: DOI arXiv OpenURL
Vasil’eva, E. V. Multi-pass stable periodic points of diffeomorphism of a plane with a homoclinic orbit. (English. Russian original) Zbl 1482.37040 Vestn. St. Petersbg. Univ., Math. 54, No. 3, 227-235 (2021); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 8(66), No. 3, 406-416 (2021). MSC: 37E30 37C05 37C20 37C79 37C29 37C75 PDF BibTeX XML Cite \textit{E. V. Vasil'eva}, Vestn. St. Petersbg. Univ., Math. 54, No. 3, 227--235 (2021; Zbl 1482.37040); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 8(66), No. 3, 406--416 (2021) Full Text: DOI OpenURL
Wei, Jingdong; Zhen, Zaili; Zhou, Jiangbo; Tian, Lixin Traveling waves for a discrete diffusion epidemic model with delay. (English) Zbl 07418951 Taiwanese J. Math. 25, No. 4, 831-866 (2021). Reviewer: Xiong Li (Beijing) MSC: 34K31 34K16 34K10 92D30 PDF BibTeX XML Cite \textit{J. Wei} et al., Taiwanese J. Math. 25, No. 4, 831--866 (2021; Zbl 07418951) Full Text: DOI OpenURL
Liu, Bowen Linear instability of elliptic rhombus solutions to the planar four-body problem. (English) Zbl 1476.58013 Nonlinearity 34, No. 11, 7728-7749 (2021). MSC: 58E05 37J46 34C25 PDF BibTeX XML Cite \textit{B. Liu}, Nonlinearity 34, No. 11, 7728--7749 (2021; Zbl 1476.58013) Full Text: DOI arXiv OpenURL
Katsanikas, Matthaios; Wiggins, Stephen The generalization of the periodic orbit dividing surface for Hamiltonian systems with three or more degrees of freedom – II. (English) Zbl 1481.37070 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 12, Article ID 2150188, 10 p. (2021). MSC: 37J46 37M21 PDF BibTeX XML Cite \textit{M. Katsanikas} and \textit{S. Wiggins}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 12, Article ID 2150188, 10 p. (2021; Zbl 1481.37070) Full Text: DOI arXiv OpenURL
Li, Chun Multiple minimal periodic solutions for subquadratic second-order Hamiltonian systems. (English) Zbl 07413893 Appl. Math. Lett. 122, Article ID 107500, 5 p. (2021). MSC: 37J46 37J51 PDF BibTeX XML Cite \textit{C. Li}, Appl. Math. Lett. 122, Article ID 107500, 5 p. (2021; Zbl 07413893) Full Text: DOI OpenURL
Zhang, Xiaofei; Liu, Chungen; Lu, Xinnian Minimal periodic problem for brake orbits of first-order Hamiltonian systems. (English) Zbl 1482.37064 Topol. Methods Nonlinear Anal. 57, No. 1, 73-87 (2021). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J51 37J46 PDF BibTeX XML Cite \textit{X. Zhang} et al., Topol. Methods Nonlinear Anal. 57, No. 1, 73--87 (2021; Zbl 1482.37064) Full Text: DOI OpenURL
Li, Xianyi; Mirjalol, Umirzakov Modeling and analysis of dynamics for a 3D mixed Lorenz system with a damped term. (English) Zbl 07412234 Int. J. Nonlinear Sci. Numer. Simul. 22, No. 2, 217-241 (2021). MSC: 37-XX 34-XX PDF BibTeX XML Cite \textit{X. Li} and \textit{U. Mirjalol}, Int. J. Nonlinear Sci. Numer. Simul. 22, No. 2, 217--241 (2021; Zbl 07412234) Full Text: DOI OpenURL
Motonaga, Shoya; Yagasaki, Kazuyuki Persistence of periodic and homoclinic orbits, first integrals and commutative vector fields in dynamical systems. (English) Zbl 07411914 Nonlinearity 34, No. 11, 7574-7608 (2021). MSC: 37C27 37C29 37C80 34C14 34E10 34A05 34C40 37J40 PDF BibTeX XML Cite \textit{S. Motonaga} and \textit{K. Yagasaki}, Nonlinearity 34, No. 11, 7574--7608 (2021; Zbl 07411914) Full Text: DOI arXiv OpenURL
Waterstraat, Nils On the Fredholm Lagrangian Grassmannian, spectral flow and ODEs in Hilbert spaces. (English) Zbl 1485.37062 J. Differ. Equations 303, 667-700 (2021). Reviewer: Zdzisław Dzedzej (Gdańsk) MSC: 37J51 37J46 37J25 34G10 53D12 47A53 58E05 58J30 PDF BibTeX XML Cite \textit{N. Waterstraat}, J. Differ. Equations 303, 667--700 (2021; Zbl 1485.37062) Full Text: DOI arXiv OpenURL
Liu, Chungen; Long, Yiming; Zhang, Duanzhi Index iteration theory for brake orbit type solutions and applications. (English) Zbl 07403650 Anal. Theory Appl. 37, No. 2, 129-156 (2021). MSC: 37J46 37J51 70H05 PDF BibTeX XML Cite \textit{C. Liu} et al., Anal. Theory Appl. 37, No. 2, 129--156 (2021; Zbl 07403650) Full Text: DOI OpenURL
Chen, Kuochang Keplerian action, convexity optimization, and the 4-body problem. (English) Zbl 07403647 Anal. Theory Appl. 37, No. 1, 24-58 (2021). MSC: 70F10 37J46 37J51 PDF BibTeX XML Cite \textit{K. Chen}, Anal. Theory Appl. 37, No. 1, 24--58 (2021; Zbl 07403647) Full Text: DOI OpenURL
Bolotin, Sergey Shadowing homoclinic chains to a symplectic critical manifold. (English) Zbl 07403644 Anal. Theory Appl. 37, No. 1, 1-23 (2021). MSC: 37C50 37J46 37C29 70K44 PDF BibTeX XML Cite \textit{S. Bolotin}, Anal. Theory Appl. 37, No. 1, 1--23 (2021; Zbl 07403644) Full Text: DOI OpenURL
Chen, Yuanlong; Luo, Shiguang The Lipschitz perturbations of regular nondegenerate heteroclinic cycles in Banach spaces. (Chinese. English summary) Zbl 07403614 Acta Math. Sin., Chin. Ser. 64, No. 3, 485-492 (2021). MSC: 37C20 37C29 37C70 PDF BibTeX XML Cite \textit{Y. Chen} and \textit{S. Luo}, Acta Math. Sin., Chin. Ser. 64, No. 3, 485--492 (2021; Zbl 07403614) OpenURL
Katsanikas, Matthaios; Wiggins, Stephen The generalization of the periodic orbit dividing surface in Hamiltonian systems with three or more degrees of freedom. I. (English) Zbl 1479.37085 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 10, Article ID 2130028, 20 p. (2021). MSC: 37M21 37J46 70H12 PDF BibTeX XML Cite \textit{M. Katsanikas} and \textit{S. Wiggins}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 10, Article ID 2130028, 20 p. (2021; Zbl 1479.37085) Full Text: DOI OpenURL
Sugimoto, Yoshihiro On the generic Conley conjecture. (English) Zbl 1485.37059 Arch. Math. 117, No. 4, 423-432 (2021). Reviewer: Xiaojun Chen (Chengdu) MSC: 37J46 37J12 37J39 53D05 53D40 PDF BibTeX XML Cite \textit{Y. Sugimoto}, Arch. Math. 117, No. 4, 423--432 (2021; Zbl 1485.37059) Full Text: DOI arXiv OpenURL
Wang, Shuang; Qian, Dingbian Subharmonic solutions of indefinite Hamiltonian systems via rotation numbers. (English) Zbl 1479.37066 Adv. Nonlinear Stud. 21, No. 3, 557-578 (2021). MSC: 37J46 37J51 PDF BibTeX XML Cite \textit{S. Wang} and \textit{D. Qian}, Adv. Nonlinear Stud. 21, No. 3, 557--578 (2021; Zbl 1479.37066) Full Text: DOI OpenURL
López-Gómez, Julián; Muñoz-Hernández, Eduardo; Zanolin, Fabio The Poincaré-Birkhoff theorem for a class of degenerate planar Hamiltonian systems. (English) Zbl 1479.37065 Adv. Nonlinear Stud. 21, No. 3, 489-499 (2021). MSC: 37J46 70K42 70H12 PDF BibTeX XML Cite \textit{J. López-Gómez} et al., Adv. Nonlinear Stud. 21, No. 3, 489--499 (2021; Zbl 1479.37065) Full Text: DOI OpenURL
Xing, Tingli; Pusuluri, Krishna; Shilnikov, Andrey L. Ordered intricacy of Shilnikov saddle-focus homoclinics in symmetric systems. (English) Zbl 1481.37053 Chaos 31, No. 7, 073143, 28 p. (2021). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37G20 37C29 37G05 37G10 37G40 PDF BibTeX XML Cite \textit{T. Xing} et al., Chaos 31, No. 7, 073143, 28 p. (2021; Zbl 1481.37053) Full Text: DOI arXiv OpenURL
Li, Mengyuan; Liu, Qihuai Periodic orbits of the spatial anisotropic Kepler problem with anisotropic perturbations. (English) Zbl 1478.37087 Electron. J. Differ. Equ. 2021, Paper No. 63, 42 p. (2021). MSC: 37N05 37J46 37G15 70F05 PDF BibTeX XML Cite \textit{M. Li} and \textit{Q. Liu}, Electron. J. Differ. Equ. 2021, Paper No. 63, 42 p. (2021; Zbl 1478.37087) Full Text: Link OpenURL
Miranda, Eva; Oms, Cédric The singular Weinstein conjecture. (English) Zbl 1479.53081 Adv. Math. 389, Article ID 107925, 41 p. (2021). Reviewer: Antonella Nannicini (Firenze) MSC: 53D10 37J46 PDF BibTeX XML Cite \textit{E. Miranda} and \textit{C. Oms}, Adv. Math. 389, Article ID 107925, 41 p. (2021; Zbl 1479.53081) Full Text: DOI arXiv OpenURL
Asaoka, Masayuki; Shinohara, Katsutoshi; Turaev, Dmitry Fast growth of the number of periodic points arising from heterodimensional connections. (English) Zbl 1479.37029 Compos. Math. 157, No. 9, 1899-1963 (2021). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37D30 37C20 37C25 37C35 37C29 37C05 PDF BibTeX XML Cite \textit{M. Asaoka} et al., Compos. Math. 157, No. 9, 1899--1963 (2021; Zbl 1479.37029) Full Text: DOI arXiv OpenURL
Vasil’eva, E. V. Different types of stable periodic points of diffeomorphism of a plane with a homoclinic orbit. (English. Russian original) Zbl 1484.37036 Vestn. St. Petersbg. Univ., Math. 54, No. 2, 180-186 (2021); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 8(66), No. 2, 295-304 (2021). Reviewer: Kwok-wai Chung (Hong Kong) MSC: 37C75 37C25 37C29 37C05 37C20 PDF BibTeX XML Cite \textit{E. V. Vasil'eva}, Vestn. St. Petersbg. Univ., Math. 54, No. 2, 180--186 (2021; Zbl 1484.37036); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 8(66), No. 2, 295--304 (2021) Full Text: DOI OpenURL
Rousseau, Christiane Two-parameter unfolding of a parabolic point of a vector field in \(\mathbb{C}\) fixing the origin. (English. French summary) Zbl 1483.37059 Ann. Fac. Sci. Toulouse, Math. (6) 30, No. 1, 139-169 (2021). Reviewer: Kwok-wai Chung (Hong Kong) MSC: 37G10 37G15 32M25 32S65 34M35 PDF BibTeX XML Cite \textit{C. Rousseau}, Ann. Fac. Sci. Toulouse, Math. (6) 30, No. 1, 139--169 (2021; Zbl 1483.37059) Full Text: DOI arXiv OpenURL