Liu, Ruiqi; Wu, Dong-Lun; Liao, Jia-Feng Homoclinic solutions for subquadratic Hamiltonian systems with competition potentials. (English) Zbl 07823001 Electron. J. Qual. Theory Differ. Equ. 2024, Paper No. 5, 13 p. (2024). MSC: 34C37 35A15 35B38 PDFBibTeX XMLCite \textit{R. Liu} et al., Electron. J. Qual. Theory Differ. Equ. 2024, Paper No. 5, 13 p. (2024; Zbl 07823001) Full Text: DOI
Liu, Yingzi; Zhang, Zhiyang; Li, Zhong The impact of Allee effect on a Leslie-Gower predator-prey model with hunting cooperation. (English) Zbl 07808440 Qual. Theory Dyn. Syst. 23, No. 2, Paper No. 88, 45 p. (2024). MSC: 34C60 92D25 34C05 34D20 34C23 34C37 PDFBibTeX XMLCite \textit{Y. Liu} et al., Qual. Theory Dyn. Syst. 23, No. 2, Paper No. 88, 45 p. (2024; Zbl 07808440) Full Text: DOI
Bai, Dingyong; Zheng, Jiale; Kang, Yun Global dynamics of a predator-prey model with a Smith growth function and the additive predation in prey. (English) Zbl 07807497 Discrete Contin. Dyn. Syst., Ser. B 29, No. 4, 1923-1960 (2024). MSC: 34C60 92D25 34C05 34C23 34C37 34D05 34D20 34D23 PDFBibTeX XMLCite \textit{D. Bai} et al., Discrete Contin. Dyn. Syst., Ser. B 29, No. 4, 1923--1960 (2024; Zbl 07807497) Full Text: DOI
Bosschaert, M. M.; Kuznetsov, Yu. A. Bifurcation analysis of Bogdanov-Takens bifurcations in delay differential equations. (English) Zbl 07803217 SIAM J. Appl. Dyn. Syst. 23, No. 1, 553-591 (2024). MSC: 37G05 37G10 65P30 34K16 34K18 34K19 PDFBibTeX XMLCite \textit{M. M. Bosschaert} and \textit{Yu. A. Kuznetsov}, SIAM J. Appl. Dyn. Syst. 23, No. 1, 553--591 (2024; Zbl 07803217) Full Text: DOI arXiv
Liu, Wenye; Han, Maoan Bifurcations of traveling wave solutions of a generalized Burgers-Fisher equation. (English) Zbl 07799718 J. Math. Anal. Appl. 533, No. 2, Article ID 128012, 23 p. (2024). MSC: 34C05 34C37 34B30 35C07 PDFBibTeX XMLCite \textit{W. Liu} and \textit{M. Han}, J. Math. Anal. Appl. 533, No. 2, Article ID 128012, 23 p. (2024; Zbl 07799718) Full Text: DOI
Das, Aritra; Das, Soumya; Das, Pritha Hopf bifurcation analysis and existence of heteroclinic orbit and homoclinic orbit in an extended Lorenz system. (English) Zbl 07796605 Differ. Equ. Dyn. Syst. 32, No. 1, 33-49 (2024). Reviewer: Paulo Santana (São José do Rio Preto) MSC: 37G20 37G15 37G10 37C29 34C23 34C37 PDFBibTeX XMLCite \textit{A. Das} et al., Differ. Equ. Dyn. Syst. 32, No. 1, 33--49 (2024; Zbl 07796605) Full Text: DOI
Cai, Meilan; Han, Maoan Limit cycle bifurcations near a double 2-polycycle on the cylinder. (English) Zbl 07793551 Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107737, 29 p. (2024). MSC: 34C23 34C05 34C37 34C40 37J40 PDFBibTeX XMLCite \textit{M. Cai} and \textit{M. Han}, Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107737, 29 p. (2024; Zbl 07793551) Full Text: DOI
Fabert, Oliver Cuplength estimates for time-periodic measures of Hamiltonian systems with diffusion. (English) Zbl 07793152 J. Fixed Point Theory Appl. 26, No. 1, Paper No. 3, 17 p. (2024). MSC: 37J46 37J12 37J39 37J40 53D40 PDFBibTeX XMLCite \textit{O. Fabert}, J. Fixed Point Theory Appl. 26, No. 1, Paper No. 3, 17 p. (2024; Zbl 07793152) Full Text: DOI arXiv OA License
Xiong, Yanqin On the number of limit cycles near a homoclinic loop with a nilpotent cusp of order \(m\). (English) Zbl 07791836 J. Differ. Equations 380, 146-180 (2024). Reviewer: Maite Grau (Lleida) MSC: 34C05 34C23 34C37 PDFBibTeX XMLCite \textit{Y. Xiong}, J. Differ. Equations 380, 146--180 (2024; Zbl 07791836) Full Text: DOI
Cui, Wenzhe; Zhao, Yulin Saddle-node bifurcation and Bogdanov-Takens bifurcation of a SIRS epidemic model with nonlinear incidence rate. (English) Zbl 07788942 J. Differ. Equations 384, 252-278 (2024). MSC: 34C60 92D30 34C05 34C23 34C37 PDFBibTeX XMLCite \textit{W. Cui} and \textit{Y. Zhao}, J. Differ. Equations 384, 252--278 (2024; Zbl 07788942) Full Text: DOI
Xiong, Yanqin; Hu, Jianqiang Double homoclinic bifurcations by perturbing a class of cubic \(\mathrm{Z}_2\)-equivariant polynomial systems with nilpotent singular points. (English) Zbl 07786260 Bull. Sci. Math. 190, Article ID 103377, 21 p. (2024). MSC: 37J20 37G20 37G40 37C29 PDFBibTeX XMLCite \textit{Y. Xiong} and \textit{J. Hu}, Bull. Sci. Math. 190, Article ID 103377, 21 p. (2024; Zbl 07786260) Full Text: DOI
Chen, Hebai; Feng, Zhaosheng; Li, Zhijie; Wang, Zhaoxia Dynamical behaviors of van der Pol-Duffing systems with indefinite degree. (English) Zbl 07770132 Discrete Contin. Dyn. Syst. 44, No. 1, 281-317 (2024). MSC: 34C07 34C23 34C37 34C05 PDFBibTeX XMLCite \textit{H. Chen} et al., Discrete Contin. Dyn. Syst. 44, No. 1, 281--317 (2024; Zbl 07770132) Full Text: DOI
Lu, Bo; Jiang, Xiaofang Reduced and bifurcation analysis of intrinsically bursting neuron model. (English) Zbl 07804384 Electron. Res. Arch. 31, No. 10, 5928-5945 (2023). MSC: 34C60 92C20 34C05 34C23 34C37 PDFBibTeX XMLCite \textit{B. Lu} and \textit{X. Jiang}, Electron. Res. Arch. 31, No. 10, 5928--5945 (2023; Zbl 07804384) Full Text: DOI
Nakane, Shizuo On formal normal forms of holomorphic germs at super-saddle fixed points. (English) Zbl 07803529 Complex Anal. Synerg. 9, No. 4, Paper No. 12, 8 p. (2023). MSC: 32H50 37F10 37C29 PDFBibTeX XMLCite \textit{S. Nakane}, Complex Anal. Synerg. 9, No. 4, Paper No. 12, 8 p. (2023; Zbl 07803529) Full Text: DOI
Arias Cantillo, Raibel; Alvarez Bilbao, Rafael The Plykin and solenoid attractor are homoclinic. (English) Zbl 07790453 Rev. Colomb. Mat. 57, Spec. Iss., 91-102 (2023). MSC: 37D10 37C70 37C75 37C25 37C29 37C79 PDFBibTeX XMLCite \textit{R. Arias Cantillo} and \textit{R. Alvarez Bilbao}, Rev. Colomb. Mat. 57, 91--102 (2023; Zbl 07790453) Full Text: DOI
Arsie, Alessandro; Kottegoda, Chanaka; Shan, Chunhua High codimension bifurcations of a predator-prey system with generalized Holling type III functional response and Allee effects. (English) Zbl 07781542 J. Dyn. Differ. Equations 35, No. 4, 3355-3380 (2023). MSC: 34C60 92D25 34C05 34D20 34C23 34C37 34C07 PDFBibTeX XMLCite \textit{A. Arsie} et al., J. Dyn. Differ. Equations 35, No. 4, 3355--3380 (2023; Zbl 07781542) Full Text: DOI
Yuan, Pei; Chen, Lilin; You, Minsheng; Zhu, Huaiping Dynamics complexity of generalist predatory mite and the leafhopper pest in tea plantations. (English) Zbl 07781525 J. Dyn. Differ. Equations 35, No. 4, 2833-2871 (2023). MSC: 34C60 92D25 92D45 34C05 34D20 34C23 34C37 PDFBibTeX XMLCite \textit{P. Yuan} et al., J. Dyn. Differ. Equations 35, No. 4, 2833--2871 (2023; Zbl 07781525) Full Text: DOI
Jia, Man; Su, Youfeng; Chen, Hebai Global analysis on a continuous planar piecewise linear differential system with three zones. (English) Zbl 07781071 Electron. J. Differ. Equ. 2023, Paper No. 83, 57 p. (2023). MSC: 34C05 34C23 37G15 37G20 PDFBibTeX XMLCite \textit{M. Jia} et al., Electron. J. Differ. Equ. 2023, Paper No. 83, 57 p. (2023; Zbl 07781071) Full Text: Link
Bakhanova, Yu. V.; Gonchenko, S. V.; Gonchenko, A. S.; Kazakov, A. O.; Samylina, E. A. On Shilnikov attractors of three-dimensional flows and maps. (English) Zbl 07775579 J. Difference Equ. Appl. 29, No. 9-12, 1184-1201 (2023). MSC: 37D45 37C70 37G35 37G20 37C05 37C10 PDFBibTeX XMLCite \textit{Yu. V. Bakhanova} et al., J. Difference Equ. Appl. 29, No. 9--12, 1184--1201 (2023; Zbl 07775579) Full Text: DOI arXiv
Timoumi, Mohsen Ground state homoclinic solutions for fourth order differential equations. (English) Zbl 07772672 Minimax Theory Appl. 8, No. 2, 301-318 (2023). MSC: 34C37 58E05 70H05 PDFBibTeX XMLCite \textit{M. Timoumi}, Minimax Theory Appl. 8, No. 2, 301--318 (2023; Zbl 07772672) Full Text: Link
Chen, Hebai; Chen, Xingwu; Jia, Man; Tang, Yilei A quintic \(\mathbb{Z}_2\)-equivariant Liénard system arising from the complex Ginzburg-Landau equation. (English) Zbl 07763741 SIAM J. Math. Anal. 55, No. 6, 5993-6038 (2023). Reviewer: Qinlong Wang (Guilin) MSC: 34C05 34C14 34C20 34C23 34C37 PDFBibTeX XMLCite \textit{H. Chen} et al., SIAM J. Math. Anal. 55, No. 6, 5993--6038 (2023; Zbl 07763741) Full Text: DOI
Wang, Youlin; Xia, Shihao; Lv, Minglong; Chen, Jingyi; Chen, Jincan; Su, Shanhe A fundamental lower bound of the cost for bit reset. (English) Zbl 07722156 Phys. Lett., A 481, Article ID 129009, 7 p. (2023). MSC: 81P15 47A46 81P45 80A10 91B32 51F25 82B35 37G20 81Q93 PDFBibTeX XMLCite \textit{Y. Wang} et al., Phys. Lett., A 481, Article ID 129009, 7 p. (2023; Zbl 07722156) Full Text: DOI
Xiang, Chuang; Huang, Jicai; Wang, Hao Bifurcations in Holling-Tanner model with generalist predator and prey refuge. (English) Zbl 07623966 J. Differ. Equations 343, 495-529 (2023). MSC: 34C60 34C05 34C23 34C37 92D25 PDFBibTeX XMLCite \textit{C. Xiang} et al., J. Differ. Equations 343, 495--529 (2023; Zbl 07623966) Full Text: DOI
Gaiko, Valery A.; Sterk, Alef E.; Broer, Henk W. Bifurcation analysis of the Topp model. (English) Zbl 07819090 Cerejeiras, Paula (ed.) et al., Current trends in analysis, its applications and computation. Proceedings of the 12th ISAAC congress, Aveiro, Portugal, July 29 – August 3, 2019. Cham: Birkhäuser. Trends Math., 3-9 (2022). MSC: 34C23 37G15 37G35 34C05 34C07 PDFBibTeX XMLCite \textit{V. A. Gaiko} et al., in: Current trends in analysis, its applications and computation. Proceedings of the 12th ISAAC congress, Aveiro, Portugal, July 29 -- August 3, 2019. Cham: Birkhäuser. 3--9 (2022; Zbl 07819090) Full Text: DOI
Barrientos, Pablo G. Historic wandering domains near cycles. (English) Zbl 07539301 Nonlinearity 35, No. 6, 3191-3208 (2022). MSC: 37C20 37C15 37C05 37C25 37C29 37G25 PDFBibTeX XMLCite \textit{P. G. Barrientos}, Nonlinearity 35, No. 6, 3191--3208 (2022; Zbl 07539301) Full Text: DOI arXiv
Golubyatnikov, V. P.; Minushkina, L. S. On geometric structure of phase portraits of some piecewise linear dynamical systems. (English) Zbl 07782899 Hvedri, Inassaridze (ed.), Tbilisi – mathematics. Special issue. Dedicated to the memory of Roin Nadiradze. Berlin: De Gruyter/Sciendo. Tbilisi Math. J. Collect. Spec. Issues 2, 49-56 (2021). MSC: 37C79 37C25 37C29 PDFBibTeX XMLCite \textit{V. P. Golubyatnikov} and \textit{L. S. Minushkina}, Tbilisi Math. J. Collect. Spec. Issues 2, 49--56 (2021; Zbl 07782899) Full Text: DOI
Chen, Yingying Multiple solutions for super-linear symmetric operator equations. (English) Zbl 07367147 Optimization 70, No. 5-6, 1085-1099 (2021). Reviewer: Jürgen Appell (Würzburg) MSC: 47J05 58E05 34C25 37J45 37J10 PDFBibTeX XMLCite \textit{Y. Chen}, Optimization 70, No. 5--6, 1085--1099 (2021; Zbl 07367147) Full Text: DOI