Kina, A.; Berbache, A.; Bendjeddou, A. Integrability and limit cycles for a class of multi-parameter differential systems with unstable node point. (English) Zbl 07691139 Rend. Circ. Mat. Palermo (2) 72, No. 3, 1937-1946 (2023). MSC: 34A05 34C05 34C07 34C25 PDF BibTeX XML Cite \textit{A. Kina} et al., Rend. Circ. Mat. Palermo (2) 72, No. 3, 1937--1946 (2023; Zbl 07691139) Full Text: DOI OpenURL
Anacleto, Maria Elisa; Llibre, Jaume; Valls, Claudia; Vidal, Claudio Crossing limit cycles for discontinuous piecewise linear differential centers separated by three parallel straight lines. (English) Zbl 07691130 Rend. Circ. Mat. Palermo (2) 72, No. 3, 1739-1750 (2023). MSC: 34C05 34C07 PDF BibTeX XML Cite \textit{M. E. Anacleto} et al., Rend. Circ. Mat. Palermo (2) 72, No. 3, 1739--1750 (2023; Zbl 07691130) Full Text: DOI OpenURL
Benterki, Rebiha; Belfar, Ahlam Phase portraits of two classes of quadratic differential systems exhibiting as solutions two cubic algebraic curves. (English) Zbl 07690115 Demonstr. Math. 56, Article ID 20220218, 16 p. (2023). MSC: 34C07 34C29 34A26 PDF BibTeX XML Cite \textit{R. Benterki} and \textit{A. Belfar}, Demonstr. Math. 56, Article ID 20220218, 16 p. (2023; Zbl 07690115) Full Text: DOI OpenURL
Gavrilov, Lubomir; Iliev, Iliya D. The limit cycles in a generalized Rayleigh-Liénard oscillator. (English) Zbl 07689317 Discrete Contin. Dyn. Syst. 43, No. 6, 2381-2400 (2023). MSC: 34C05 34C07 34C08 37G15 70K05 PDF BibTeX XML Cite \textit{L. Gavrilov} and \textit{I. D. Iliev}, Discrete Contin. Dyn. Syst. 43, No. 6, 2381--2400 (2023; Zbl 07689317) Full Text: DOI arXiv OpenURL
Anacleto, Maria Elisa; Llibre, Jaume; Valls, Claudia; Vidal, Claudio Limit cycles of a continuous piecewise differential system formed by a quadratic center and two linear centers. (English) Zbl 07687234 Bol. Soc. Mat. Mex., III. Ser. 29, No. 2, Paper No. 29, 12 p. (2023). MSC: 34C05 34C07 PDF BibTeX XML Cite \textit{M. E. Anacleto} et al., Bol. Soc. Mat. Mex., III. Ser. 29, No. 2, Paper No. 29, 12 p. (2023; Zbl 07687234) Full Text: DOI OpenURL
Gasull, Armengol; Zhao, Yulin Existence of at most two limit cycles for some non-autonomous differential equations. (English) Zbl 07675996 Commun. Pure Appl. Anal. 22, No. 3, 970-982 (2023). MSC: 34C25 34A34 34C07 37C27 PDF BibTeX XML Cite \textit{A. Gasull} and \textit{Y. Zhao}, Commun. Pure Appl. Anal. 22, No. 3, 970--982 (2023; Zbl 07675996) Full Text: DOI OpenURL
Euzébio, Rodrigo D.; Freitas, Bruno R. Periodic orbits in piecewise Riccati vector fields. (English) Zbl 07675856 Discrete Contin. Dyn. Syst., Ser. B 28, No. 8, 4325-4343 (2023). MSC: 34A36 34B30 34C07 34C05 PDF BibTeX XML Cite \textit{R. D. Euzébio} and \textit{B. R. Freitas}, Discrete Contin. Dyn. Syst., Ser. B 28, No. 8, 4325--4343 (2023; Zbl 07675856) Full Text: DOI OpenURL
Onitsuka, Masakazu Approximation of limit cycle of differential systems with variable coefficients. (English) Zbl 07675577 Arch. Math., Brno 59, No. 1, 85-97 (2023). MSC: 34C05 34C07 34D10 34A12 39A30 PDF BibTeX XML Cite \textit{M. Onitsuka}, Arch. Math., Brno 59, No. 1, 85--97 (2023; Zbl 07675577) Full Text: DOI OpenURL
Xiong, Li; Wu, Kuilin; Li, Shimin Global dynamics of a degenerate planar piecewise linear differential system with three zones. (English) Zbl 07674704 Bull. Sci. Math. 184, Article ID 103258, 27 p. (2023). Reviewer: Hongwei Shi (Zhuhai) MSC: 34C05 34C07 34C23 34A36 34A30 PDF BibTeX XML Cite \textit{L. Xiong} et al., Bull. Sci. Math. 184, Article ID 103258, 27 p. (2023; Zbl 07674704) Full Text: DOI OpenURL
Geng, Wei; Han, Maoan; Tian, Yun; Ke, Ai Heteroclinic bifurcation of limit cycles in perturbed cubic Hamiltonian systems by higher-order analysis. (English) Zbl 07672961 J. Differ. Equations 357, 412-435 (2023). MSC: 34C23 37J40 34E10 34C07 34C05 PDF BibTeX XML Cite \textit{W. Geng} et al., J. Differ. Equations 357, 412--435 (2023; Zbl 07672961) Full Text: DOI OpenURL
Damene, Loubna; Benterki, Rebiha Limit cycles of planar picewise linear Hamiltonian systems without equilibrium points separated by two circles. (English) Zbl 07670385 Rend. Circ. Mat. Palermo (2) 72, No. 2, 1103-1114 (2023). Reviewer: Lucyjane Silva (Goiânia) MSC: 34A36 34A30 34C05 34C07 37J99 PDF BibTeX XML Cite \textit{L. Damene} and \textit{R. Benterki}, Rend. Circ. Mat. Palermo (2) 72, No. 2, 1103--1114 (2023; Zbl 07670385) Full Text: DOI OpenURL
Marín, D.; Saavedra, M.; Villadelprat, J. Non-bifurcation of critical periods from semi-hyperbolic polycycles of quadratic centres. (English) Zbl 07659833 Proc. R. Soc. Edinb., Sect. A, Math. 153, No. 1, 104-114 (2023). Reviewer: Joan C. Artés (Barcelona) MSC: 34C07 34C20 34C23 PDF BibTeX XML Cite \textit{D. Marín} et al., Proc. R. Soc. Edinb., Sect. A, Math. 153, No. 1, 104--114 (2023; Zbl 07659833) Full Text: DOI arXiv OpenURL
Li, Zhengkang; Liu, Xingbo Impact limit cycles in the planar piecewise linear hybrid systems. (English) Zbl 1505.34027 Commun. Nonlinear Sci. Numer. Simul. 119, Article ID 107074, 16 p. (2023). MSC: 34A36 34C07 34A26 PDF BibTeX XML Cite \textit{Z. Li} and \textit{X. Liu}, Commun. Nonlinear Sci. Numer. Simul. 119, Article ID 107074, 16 p. (2023; Zbl 1505.34027) Full Text: DOI OpenURL
Gasull, Armengol; Giacomini, Hector Number of limit cycles for planar systems with invariant algebraic curves. (English) Zbl 07655494 Qual. Theory Dyn. Syst. 22, No. 2, Paper No. 44, 28 p. (2023). MSC: 34C07 34C45 34C05 PDF BibTeX XML Cite \textit{A. Gasull} and \textit{H. Giacomini}, Qual. Theory Dyn. Syst. 22, No. 2, Paper No. 44, 28 p. (2023; Zbl 07655494) Full Text: DOI arXiv OpenURL
Gu, Jieping; Zegeling, André; Huang, Wentao Bifurcation of limit cycles and isochronous centers on center manifolds for a class of cubic Kolmogorov systems in \(\mathbb{R}^3\). (English) Zbl 07650569 Qual. Theory Dyn. Syst. 22, No. 2, Paper No. 42, 27 p. (2023). Reviewer: Qinlong Wang (Guilin) MSC: 34C05 34C07 34C23 34C45 PDF BibTeX XML Cite \textit{J. Gu} et al., Qual. Theory Dyn. Syst. 22, No. 2, Paper No. 42, 27 p. (2023; Zbl 07650569) Full Text: DOI OpenURL
Han, Maoan; Yang, Junmin; Li, Jibin General study on limit cycle bifurcation near a double homoclinic loop. (English) Zbl 07638572 J. Differ. Equations 347, 1-23 (2023). Reviewer: Kwok-wai Chung (Hong Kong) MSC: 34C23 34C05 34C37 34C07 PDF BibTeX XML Cite \textit{M. Han} et al., J. Differ. Equations 347, 1--23 (2023; Zbl 07638572) Full Text: DOI OpenURL
Carmona, Victoriano; Fernández-Sánchez, Fernando; Novaes, Douglas D. Uniform upper bound for the number of limit cycles of planar piecewise linear differential systems with two zones separated by a straight line. (English) Zbl 07630040 Appl. Math. Lett. 137, Article ID 108501, 8 p. (2023). Reviewer: Zhengdong Du (Chengdu) MSC: 34C07 34C05 34A36 34A30 PDF BibTeX XML Cite \textit{V. Carmona} et al., Appl. Math. Lett. 137, Article ID 108501, 8 p. (2023; Zbl 07630040) Full Text: DOI arXiv OpenURL
Huang, Jianfeng; Liang, Haihua; Zhang, Xiang A new Chebyshev criterion and its application to planar differential systems. (English) Zbl 07623996 J. Differ. Equations 344, 658-695 (2023). Reviewer: Iliya Iliev (Sofia) MSC: 34C07 34C05 34A36 PDF BibTeX XML Cite \textit{J. Huang} et al., J. Differ. Equations 344, 658--695 (2023; Zbl 07623996) Full Text: DOI arXiv OpenURL
Li, Tao; Llibre, Jaume Limit cycles in piecewise polynomial Hamiltonian systems allowing nonlinear switching boundaries. (English) Zbl 07623989 J. Differ. Equations 344, 405-438 (2023). Reviewer: Zhengdong Du (Chengdu) MSC: 34A36 34C07 34C29 34C05 37J46 34C23 34E10 PDF BibTeX XML Cite \textit{T. Li} and \textit{J. Llibre}, J. Differ. Equations 344, 405--438 (2023; Zbl 07623989) Full Text: DOI OpenURL
Shi, Hongwei; Bai, Yuzhen Maximum number of limit cycles bifurcating from the period annulus of cubic polynomial systems. (English) Zbl 07615390 Proc. Am. Math. Soc. 151, No. 1, 177-187 (2023). Reviewer: Jihua Yang (Guyuan) MSC: 34C07 34C05 34C08 34C23 34E10 PDF BibTeX XML Cite \textit{H. Shi} and \textit{Y. Bai}, Proc. Am. Math. Soc. 151, No. 1, 177--187 (2023; Zbl 07615390) Full Text: DOI OpenURL
Huzak, R.; Kristiansen, K. Uldall The number of limit cycles for regularized piecewise polynomial systems is unbounded. (English) Zbl 07615163 J. Differ. Equations 342, 34-62 (2023). Reviewer: Kuilin Wu (Guiyang) MSC: 34C07 34A36 34E15 34E17 34C05 34C23 PDF BibTeX XML Cite \textit{R. Huzak} and \textit{K. U. Kristiansen}, J. Differ. Equations 342, 34--62 (2023; Zbl 07615163) Full Text: DOI arXiv OpenURL
Wang, Xiangyu; Guo, Laigang Limit cycles in a switching Liénard system. (English) Zbl 07613232 Discrete Contin. Dyn. Syst., Ser. B 28, No. 2, 1503-1512 (2023). Reviewer: Kuilin Wu (Guiyang) MSC: 34A36 34B30 34C05 34C07 34C23 PDF BibTeX XML Cite \textit{X. Wang} and \textit{L. Guo}, Discrete Contin. Dyn. Syst., Ser. B 28, No. 2, 1503--1512 (2023; Zbl 07613232) Full Text: DOI OpenURL
Huang, Bo; Yap, Chee An algorithmic approach to small limit cycles of nonlinear differential systems: the averaging method revisited. (English) Zbl 1505.34066 J. Symb. Comput. 115, 492-517 (2023). MSC: 34C29 34C07 34C23 68W30 34C05 34C20 PDF BibTeX XML Cite \textit{B. Huang} and \textit{C. Yap}, J. Symb. Comput. 115, 492--517 (2023; Zbl 1505.34066) Full Text: DOI OpenURL
Díaz-Marín, Homero; Osuna, Oswaldo On the invariant rational curves of a certain family of polynomial differential equations. (English) Zbl 07689907 Rev. Colomb. Mat. 56, No. 1, 93-111 (2022). MSC: 34C07 34C08 92D25 PDF BibTeX XML Cite \textit{H. Díaz-Marín} and \textit{O. Osuna}, Rev. Colomb. Mat. 56, No. 1, 93--111 (2022; Zbl 07689907) Full Text: DOI OpenURL
Hussein, Sarbast; Benyoucef, Salah Analysis of existence and non-existence of limit cycles for a family of Kolmogorov systems. (English) Zbl 07689780 Rend. Ist. Mat. Univ. Trieste 54, Paper No. 12, 10 p. (2022). MSC: 34C25 34C05 34C07 PDF BibTeX XML Cite \textit{S. Hussein} and \textit{S. Benyoucef}, Rend. Ist. Mat. Univ. Trieste 54, Paper No. 12, 10 p. (2022; Zbl 07689780) Full Text: DOI Link OpenURL
Boukoucha, Rachid Differential systems with algebraic and non-algebraic limit cycles explicitly given. (English) Zbl 07673204 Methods Funct. Anal. Topol. 28, No. 2, 110-118 (2022). MSC: 34C05 34C07 37C27 37K10 PDF BibTeX XML Cite \textit{R. Boukoucha}, Methods Funct. Anal. Topol. 28, No. 2, 110--118 (2022; Zbl 07673204) Full Text: DOI OpenURL
Giné, Jaume; Llibre, Jaume A characterization of the generalized Liénard polynomial differential systems having invariant algebraic curves. (English) Zbl 1505.34046 Chaos Solitons Fractals 158, Article ID 112075, 4 p. (2022). MSC: 34C05 34A05 34A34 34C45 34C07 PDF BibTeX XML Cite \textit{J. Giné} and \textit{J. Llibre}, Chaos Solitons Fractals 158, Article ID 112075, 4 p. (2022; Zbl 1505.34046) Full Text: DOI OpenURL
Llibre, Jaume; Valls, Claudia Crossing limit cycles for discontinuous piecewise differential systems formed by linear Hamiltonian saddles or linear centers separated by a conic. (English) Zbl 1505.34047 Chaos Solitons Fractals 159, Article ID 112076, 8 p. (2022). MSC: 34C05 34A36 37G15 34C23 34C07 PDF BibTeX XML Cite \textit{J. Llibre} and \textit{C. Valls}, Chaos Solitons Fractals 159, Article ID 112076, 8 p. (2022; Zbl 1505.34047) Full Text: DOI OpenURL
Llibre, Jaume; Salhi, Tayeb On the limit cycles of the piecewise differential systems formed by a linear focus or center and a quadratic weak focus or center. (English) Zbl 1504.34072 Chaos Solitons Fractals 160, Article ID 112256, 6 p. (2022). MSC: 34C05 34A36 34C07 37G15 34C23 PDF BibTeX XML Cite \textit{J. Llibre} and \textit{T. Salhi}, Chaos Solitons Fractals 160, Article ID 112256, 6 p. (2022; Zbl 1504.34072) Full Text: DOI OpenURL
Wu, Yusen; Yan, Jinling; Zhang, Cui; Li, Feng Simultaneous integrability and non-linearizability at arbitrary double weak saddles and sole weak focus of a cubic Liénard system. (English) Zbl 1504.34077 Chaos Solitons Fractals 160, Article ID 112197, 6 p. (2022). MSC: 34C05 34C07 34C23 34C20 34A05 PDF BibTeX XML Cite \textit{Y. Wu} et al., Chaos Solitons Fractals 160, Article ID 112197, 6 p. (2022; Zbl 1504.34077) Full Text: DOI OpenURL
Ji, Guilin; Sun, Yangjian Bifurcation for a class of piecewise cubic systems with two centers. (English) Zbl 07633755 Electron. J. Qual. Theory Differ. Equ. 2022, Paper No. 46, 12 p. (2022). MSC: 34C23 34C07 34C14 34C05 34E10 34A36 PDF BibTeX XML Cite \textit{G. Ji} and \textit{Y. Sun}, Electron. J. Qual. Theory Differ. Equ. 2022, Paper No. 46, 12 p. (2022; Zbl 07633755) Full Text: DOI OpenURL
Valls, Claudia Rational periodic solutions on some generalized Abel equations. (English) Zbl 07633437 J. Dyn. Syst. Geom. Theor. 20, No. 2, 177-189 (2022). MSC: 34C05 34C07 34B30 34A05 PDF BibTeX XML Cite \textit{C. Valls}, J. Dyn. Syst. Geom. Theor. 20, No. 2, 177--189 (2022; Zbl 07633437) Full Text: DOI OpenURL
Giné, Jaume; Grau, Maite; Llibre, Jaume Criteria on the existence of limit cycles in planar polynomial differential systems. (English) Zbl 07629336 Expo. Math. 40, No. 4, 1049-1083 (2022). Reviewer: Alexander Grin (Grodno) MSC: 34C05 34C07 34C20 PDF BibTeX XML Cite \textit{J. Giné} et al., Expo. Math. 40, No. 4, 1049--1083 (2022; Zbl 07629336) Full Text: DOI OpenURL
Pessoa, Claudio; Ribeiro, Ronisio Persistence of periodic solutions from discontinuous planar piecewise linear Hamiltonian differential systems with three zones. (English) Zbl 07626130 São Paulo J. Math. Sci. 16, No. 2, 932-956 (2022). Reviewer: Alois Steindl (Wien) MSC: 34A36 34A30 34C37 34C05 34C07 34C23 34E10 37J46 37J40 PDF BibTeX XML Cite \textit{C. Pessoa} and \textit{R. Ribeiro}, São Paulo J. Math. Sci. 16, No. 2, 932--956 (2022; Zbl 07626130) Full Text: DOI OpenURL
Buzzi, Claudio A.; Romano Carvalho, Yagor; Llibre, Jaume Crossing limit cycles of planar discontinuous piecewise differential systems formed by isochronous centres. (English) Zbl 1508.37064 Dyn. Syst. 37, No. 4, 710-728 (2022). MSC: 37G15 34C05 34C07 PDF BibTeX XML Cite \textit{C. A. Buzzi} et al., Dyn. Syst. 37, No. 4, 710--728 (2022; Zbl 1508.37064) Full Text: DOI arXiv OpenURL
de Carvalho Braga, Denis; Llibre, Jaume; Mello, Luis Fernando Transcritical bifurcation at infinity in planar piecewise polynomial differential systems with two zones. (English) Zbl 1508.37036 Dyn. Syst. 37, No. 4, 578-602 (2022). Reviewer: Vladimir P. Kostov (Nice) MSC: 37C27 37G15 37C75 34C05 34C07 PDF BibTeX XML Cite \textit{D. de Carvalho Braga} et al., Dyn. Syst. 37, No. 4, 578--602 (2022; Zbl 1508.37036) Full Text: DOI OpenURL
Guo, Zhifei; Llibre, Jaume Limit cycles of a class of discontinuous piecewise differential systems separated by the curve \(y= x^n\) via averaging theory. (English) Zbl 07614856 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 12, Article ID 2250187, 19 p. (2022). Reviewer: Zhengdong Du (Chengdu) MSC: 34C05 34A30 34C29 34E10 34C07 34C23 PDF BibTeX XML Cite \textit{Z. Guo} and \textit{J. Llibre}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 12, Article ID 2250187, 19 p. (2022; Zbl 07614856) Full Text: DOI OpenURL
Chen, Xiaoyan; Han, Maoan Further study on Horozov-Iliev’s method of estimating the number of limit cycles. (English) Zbl 07606686 Sci. China, Math. 65, No. 11, 2255-2270 (2022). Reviewer: Xiuli Cen (Zhuhai) MSC: 34C07 34A36 37J40 34C05 34C23 34E10 PDF BibTeX XML Cite \textit{X. Chen} and \textit{M. Han}, Sci. China, Math. 65, No. 11, 2255--2270 (2022; Zbl 07606686) Full Text: DOI arXiv OpenURL
Ferčec, Brigita; Romanovski, Valery G.; Tang, Yilei; Zhang, Ling Integrability and bifurcation of a three-dimensional circuit differential system. (English) Zbl 07606653 Discrete Contin. Dyn. Syst., Ser. B 27, No. 8, 4573-4588 (2022). MSC: 34A05 34C07 34C23 34C29 37J35 34C14 94C60 34C60 34D20 34C45 PDF BibTeX XML Cite \textit{B. Ferčec} et al., Discrete Contin. Dyn. Syst., Ser. B 27, No. 8, 4573--4588 (2022; Zbl 07606653) Full Text: DOI OpenURL
Bakhshalizadeh, Ali; Nyamoradi, Nemat On Hilbert’s 16th problem for some discontinuous piecewise differential systems. (English) Zbl 07602329 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 11, Article ID 2250161, 16 p. (2022). Reviewer: Lucyjane Silva (Goiânia) MSC: 34C07 34A36 34C05 PDF BibTeX XML Cite \textit{A. Bakhshalizadeh} and \textit{N. Nyamoradi}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 11, Article ID 2250161, 16 p. (2022; Zbl 07602329) Full Text: DOI OpenURL
Asheghi, Rasoul The center conditions for a perturbed cubic center via the fourth-order Melnikov function. (English) Zbl 1496.34065 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 4, Paper No. 189, 20 p. (2022). MSC: 34C07 34C05 34C25 37G15 PDF BibTeX XML Cite \textit{R. Asheghi}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 4, Paper No. 189, 20 p. (2022; Zbl 1496.34065) Full Text: DOI OpenURL
Marin, David; Villadelprat, Jordi On the cyclicity of Kolmogorov polycycles. (English) Zbl 07599855 Electron. J. Qual. Theory Differ. Equ. 2022, Paper No. 35, 31 p. (2022). MSC: 34C23 34C07 34C37 34E10 34C05 PDF BibTeX XML Cite \textit{D. Marin} and \textit{J. Villadelprat}, Electron. J. Qual. Theory Differ. Equ. 2022, Paper No. 35, 31 p. (2022; Zbl 07599855) Full Text: DOI arXiv OpenURL
Pessoa, Claudio; Ribeiro, Ronisio Limit cycles of planar piecewise linear Hamiltonian differential systems with two or three zones. (English) Zbl 07599847 Electron. J. Qual. Theory Differ. Equ. 2022, Paper No. 27, 19 p. (2022). MSC: 34C05 34A36 34A30 34C07 37J06 PDF BibTeX XML Cite \textit{C. Pessoa} and \textit{R. Ribeiro}, Electron. J. Qual. Theory Differ. Equ. 2022, Paper No. 27, 19 p. (2022; Zbl 07599847) Full Text: DOI arXiv OpenURL
Novaes, Douglas D. On the Hilbert number for piecewise linear vector fields with algebraic discontinuity set. (English) Zbl 1507.34037 Physica D 441, Article ID 133523, 15 p. (2022). Reviewer: Zhengdong Du (Chengdu) MSC: 34C07 34A36 34C23 34E10 34C05 PDF BibTeX XML Cite \textit{D. D. Novaes}, Physica D 441, Article ID 133523, 15 p. (2022; Zbl 1507.34037) Full Text: DOI arXiv OpenURL
Li, Jie; Tian, Yun; Liu, Yaru Twenty-six crossing limit cycles around one singular point in a cubic switching system. (English) Zbl 1507.34015 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 10, Article ID 2250158, 7 p. (2022). Reviewer: Jihua Yang (Guyuan) MSC: 34A36 34C05 34C23 34C07 PDF BibTeX XML Cite \textit{J. Li} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 10, Article ID 2250158, 7 p. (2022; Zbl 1507.34015) Full Text: DOI OpenURL
Li, Zhengkang; Liu, Xingbo Limit cycles in discontinuous piecewise linear planar Hamiltonian systems without equilibrium points. (English) Zbl 1507.34034 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 10, Article ID 2250153, 20 p. (2022). Reviewer: Zhengdong Du (Chengdu) MSC: 34C05 34A36 34C07 37J46 34A30 34D20 34C23 PDF BibTeX XML Cite \textit{Z. Li} and \textit{X. Liu}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 10, Article ID 2250153, 20 p. (2022; Zbl 1507.34034) Full Text: DOI OpenURL
Chen, Yuanyuan; Yu, Jiang The study on cyclicity of a class of cubic systems. (English) Zbl 07595594 Discrete Contin. Dyn. Syst., Ser. B 27, No. 11, 6233-6256 (2022). Reviewer: Alexander Grin (Grodno) MSC: 34C05 34C07 34C08 PDF BibTeX XML Cite \textit{Y. Chen} and \textit{J. Yu}, Discrete Contin. Dyn. Syst., Ser. B 27, No. 11, 6233--6256 (2022; Zbl 07595594) Full Text: DOI OpenURL
Djedid, Djamila; Bendib, El Ouahma; Makhlouf, Amar Four-dimensional zero-Hopf bifurcation of quadratic polynomial differential system, via averaging theory of third order. (English) Zbl 07593631 J. Dyn. Control Syst. 28, No. 4, 901-916 (2022). MSC: 34C07 34C05 34C40 PDF BibTeX XML Cite \textit{D. Djedid} et al., J. Dyn. Control Syst. 28, No. 4, 901--916 (2022; Zbl 07593631) Full Text: DOI OpenURL
Huang, Bo; Peng, Linping; Cui, Yong On the number of limit cycles bifurcating from a quartic reversible center. (English) Zbl 07592511 Mediterr. J. Math. 19, No. 5, Paper No. 220, 26 p. (2022). Reviewer: Alois Steindl (Wien) MSC: 37G15 37C27 34C07 34C05 34C29 PDF BibTeX XML Cite \textit{B. Huang} et al., Mediterr. J. Math. 19, No. 5, Paper No. 220, 26 p. (2022; Zbl 07592511) Full Text: DOI OpenURL
Amel’kin, V. V. Proof of the jacobian conjecture in the two-dimensional case and global isochronous centers of polynomial Hamiltonian differential systems. (English. Russian original) Zbl 1504.37071 Differ. Equ. 58, No. 6, 847-851 (2022); translation from Differ. Uravn. 58, No. 6, 846-849 (2022). MSC: 37J25 34C05 34C07 PDF BibTeX XML Cite \textit{V. V. Amel'kin}, Differ. Equ. 58, No. 6, 847--851 (2022; Zbl 1504.37071); translation from Differ. Uravn. 58, No. 6, 846--849 (2022) Full Text: DOI OpenURL
Lian, Hairong; Liu, Changjian; Yang, Jiazhong On the cyclicity of quasi-homogeneous polynomial systems. (English) Zbl 1507.34036 J. Math. Anal. Appl. 516, No. 2, Article ID 126510, 10 p. (2022). Reviewer: Iliya Iliev (Sofia) MSC: 34C07 34C05 34C08 34C23 37J40 34E15 PDF BibTeX XML Cite \textit{H. Lian} et al., J. Math. Anal. Appl. 516, No. 2, Article ID 126510, 10 p. (2022; Zbl 1507.34036) Full Text: DOI OpenURL
Ji, Guilin; Liu, Changjian The cyclicity of a class of quadratic reversible centers defining elliptic curves. (English) Zbl 07576988 Discrete Contin. Dyn. Syst., Ser. B 27, No. 10, 5883-5903 (2022). MSC: 34C08 34C07 34C23 34C05 34C25 PDF BibTeX XML Cite \textit{G. Ji} and \textit{C. Liu}, Discrete Contin. Dyn. Syst., Ser. B 27, No. 10, 5883--5903 (2022; Zbl 07576988) Full Text: DOI OpenURL
Graça, Daniel S.; Zhong, Ning Computing the exact number of periodic orbits for planar flows. (English) Zbl 07576870 Trans. Am. Math. Soc. 375, No. 8, 5491-5538 (2022). MSC: 03D78 34C07 PDF BibTeX XML Cite \textit{D. S. Graça} and \textit{N. Zhong}, Trans. Am. Math. Soc. 375, No. 8, 5491--5538 (2022; Zbl 07576870) Full Text: DOI arXiv OpenURL
Jiang, Xueli; Deng, Xuan; Wen, Qiuhao; Xiong, Yanqin Limit circle bifurcations of polynomial differential system with two parallel switch straight lines. (Chinese. English summary) Zbl 07572893 Acta Math. Sci., Ser. A, Chin. Ed. 42, No. 2, 353-364 (2022). MSC: 34C23 34C05 34C07 34A36 34E10 PDF BibTeX XML Cite \textit{X. Jiang} et al., Acta Math. Sci., Ser. A, Chin. Ed. 42, No. 2, 353--364 (2022; Zbl 07572893) Full Text: Link OpenURL
Benabdallah, Imane; Benterki, Rebiha Four limit cycles of discontinuous piecewise differential systems with nilpotent saddles separated by a straight line. (English) Zbl 07568603 Qual. Theory Dyn. Syst. 21, No. 4, Paper No. 108, 50 p. (2022). MSC: 34C07 34A36 34C05 34C29 34A05 PDF BibTeX XML Cite \textit{I. Benabdallah} and \textit{R. Benterki}, Qual. Theory Dyn. Syst. 21, No. 4, Paper No. 108, 50 p. (2022; Zbl 07568603) Full Text: DOI OpenURL
Chen, Hebai; Jin, Jie; Wang, Zhaoxia; Zhang, Baodong A van der Pol-Duffing oscillator with indefinite degree. (English) Zbl 1504.34089 Qual. Theory Dyn. Syst. 21, No. 4, Paper No. 98, 25 p. (2022). MSC: 34C15 34C07 34C05 34C23 34C37 34B30 PDF BibTeX XML Cite \textit{H. Chen} et al., Qual. Theory Dyn. Syst. 21, No. 4, Paper No. 98, 25 p. (2022; Zbl 1504.34089) Full Text: DOI OpenURL
Yang, Jihua Bifurcation from periodic orbits of \(n\)-dimensional piecewise smooth differential systems with two switching planes. (English) Zbl 1503.34051 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 9, Article ID 2250135, 19 p. (2022). MSC: 34A36 34E10 34C23 34C05 34C07 PDF BibTeX XML Cite \textit{J. Yang}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 9, Article ID 2250135, 19 p. (2022; Zbl 1503.34051) Full Text: DOI OpenURL
Chen, Ting; Llibre, Jaume Nilpotent center in a continuous piecewise quadratic polynomial Hamiltonian vector field. (English) Zbl 07568054 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 8, Article ID 2250116, 23 p. (2022). Reviewer: Tudor Bînzar (Timişoara) MSC: 37J25 37J39 34A36 34C05 34C07 70H05 PDF BibTeX XML Cite \textit{T. Chen} and \textit{J. Llibre}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 8, Article ID 2250116, 23 p. (2022; Zbl 07568054) Full Text: DOI OpenURL
Pessoa, Claudio; Ribeiro, Ronisio Limit cycles bifurcating from a periodic annulus in discontinuous planar piecewise linear Hamiltonian differential system with three zones. (English) Zbl 1504.34030 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 8, Article ID 2250114, 16 p. (2022). Reviewer: Kuilin Wu (Guiyang) MSC: 34A36 34C23 34C05 34E10 37J40 34C20 34C07 34A30 PDF BibTeX XML Cite \textit{C. Pessoa} and \textit{R. Ribeiro}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 8, Article ID 2250114, 16 p. (2022; Zbl 1504.34030) Full Text: DOI arXiv OpenURL
Euzébio, Rodrigo D.; Llibre, Jaume; Tonon, Durval J. Lower bounds for the number of limit cycles in a generalised Rayleigh-Liénard oscillator. (English) Zbl 07559735 Nonlinearity 35, No. 8, 3883-3906 (2022). Reviewer: Alexander Grin (Grodno) MSC: 34C07 34C05 34C23 34C37 34E10 34B30 PDF BibTeX XML Cite \textit{R. D. Euzébio} et al., Nonlinearity 35, No. 8, 3883--3906 (2022; Zbl 07559735) Full Text: DOI arXiv OpenURL
Wei, Lijun; Zhang, Xiang Corrigendum to: “Limit cycles bifurcating from periodic orbits near a centre and a homoclinic loop with a nilpotent singularity of Hamiltonian systems”. (English) Zbl 1493.34107 Nonlinearity 35, No. 8, C13-C17 (2022). MSC: 34C07 34C05 34C08 34C23 34C37 34E10 37J40 PDF BibTeX XML Cite \textit{L. Wei} and \textit{X. Zhang}, Nonlinearity 35, No. 8, C13--C17 (2022; Zbl 1493.34107) Full Text: DOI OpenURL
Jiang, Fangfang Limit cycles of discontinuous perturbed quadratic center via the second order averaging method. (English) Zbl 1506.34045 Qual. Theory Dyn. Syst. 21, No. 3, Paper No. 91, 36 p. (2022). Reviewer: Jihua Yang (Guyuan) MSC: 34C05 34A36 34C07 34C23 34C29 PDF BibTeX XML Cite \textit{F. Jiang}, Qual. Theory Dyn. Syst. 21, No. 3, Paper No. 91, 36 p. (2022; Zbl 1506.34045) Full Text: DOI OpenURL
Wang, Jiaxin; Zhao, Liqin; Zhou, Jinping On the number of limit cycles bifurcating from the linear center with an algebraic switching curve. (English) Zbl 1506.34050 Qual. Theory Dyn. Syst. 21, No. 3, Paper No. 87, 42 p. (2022). Reviewer: Changjian Liu (Zhuhai) MSC: 34C07 34C05 34C23 34E10 34A36 PDF BibTeX XML Cite \textit{J. Wang} et al., Qual. Theory Dyn. Syst. 21, No. 3, Paper No. 87, 42 p. (2022; Zbl 1506.34050) Full Text: DOI arXiv OpenURL
Jimenez, Jeidy J.; Llibre, Jaume; Medrado, Joo C. On the crossing limit cycles for piecewise linear differential systems separated by a straight line and having symmetric equilibrium points. (English) Zbl 1490.34032 Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 29, No. 4, 253-283 (2022). MSC: 34C05 34C07 37G15 PDF BibTeX XML Cite \textit{J. J. Jimenez} et al., Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 29, No. 4, 253--283 (2022; Zbl 1490.34032) Full Text: Link Link OpenURL
Gouveia, Luiz F. S.; Torregrosa, Joan The local cyclicity problem: Melnikov method using Lyapunov constants. (English) Zbl 1504.34082 Proc. Edinb. Math. Soc., II. Ser. 65, No. 2, 356-375 (2022). Reviewer: Kuilin Wu (Guiyang) MSC: 34C07 34C05 34C23 34E10 PDF BibTeX XML Cite \textit{L. F. S. Gouveia} and \textit{J. Torregrosa}, Proc. Edinb. Math. Soc., II. Ser. 65, No. 2, 356--375 (2022; Zbl 1504.34082) Full Text: DOI OpenURL
Dumortier, Freddy A flow box theorem for 2d slow-fast vector fields and diffeomorphisms and the slow log-determinant integral. (English) Zbl 1502.34047 J. Differ. Equations 333, 361-406 (2022). MSC: 34C20 34C45 37E30 34C07 34C40 34C23 37D10 34E15 PDF BibTeX XML Cite \textit{F. Dumortier}, J. Differ. Equations 333, 361--406 (2022; Zbl 1502.34047) Full Text: DOI OpenURL
Roĭtenberg, Vladimir Shleĭmovich On generation of a limit cycle from a separatrix loop of a sewn saddle-node. (Russian. English summary) Zbl 1496.34066 Izv. Sarat. Univ. (N.S.), Ser. Mat. Mekh. Inform. 22, No. 2, 159-168 (2022). MSC: 34C07 37G15 PDF BibTeX XML Cite \textit{V. S. Roĭtenberg}, Izv. Sarat. Univ. (N.S.), Ser. Mat. Mekh. Inform. 22, No. 2, 159--168 (2022; Zbl 1496.34066) Full Text: DOI MNR OpenURL
Yuan, Zhen; Ke, Ai; Han, Maoan On the number of limit cycles of a class of Liénard-Rayleigh oscillators. (English) Zbl 07548996 Physica D 438, Article ID 133366, 8 p. (2022). Reviewer: Xiuli Cen (Zhuhai) MSC: 34C05 34C07 34C23 37J40 34B30 PDF BibTeX XML Cite \textit{Z. Yuan} et al., Physica D 438, Article ID 133366, 8 p. (2022; Zbl 07548996) Full Text: DOI OpenURL
Marín, D.; Villadelprat, J. The criticality of reversible quadratic centers at the outer boundary of its period annulus. (English) Zbl 1501.34032 J. Differ. Equations 332, 123-201 (2022). MSC: 34C07 34C05 34C20 34C23 34C37 34C14 34E05 PDF BibTeX XML Cite \textit{D. Marín} and \textit{J. Villadelprat}, J. Differ. Equations 332, 123--201 (2022; Zbl 1501.34032) Full Text: DOI arXiv OpenURL
Ghermoul, Bilal; Llibre, Jaume; Salhi, Tayeb Limit cycles of piecewise-continuous differential systems formed by linear and quadratic isochronous centers II. (English) Zbl 1504.34064 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 6, Article ID 2250091, 33 p. (2022). MSC: 34C05 34A36 34C07 34C23 PDF BibTeX XML Cite \textit{B. Ghermoul} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 6, Article ID 2250091, 33 p. (2022; Zbl 1504.34064) Full Text: DOI OpenURL
Chen, Yuanyuan; Yu, Jiang Limit cycles bifurcating from a class of cubic Hamiltonian systems. (English) Zbl 1502.34038 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 6, Article ID 2250088, 16 p. (2022). Reviewer: Yong Ye (Shenzhen) MSC: 34C05 34C07 34C08 34C23 34E10 37J40 PDF BibTeX XML Cite \textit{Y. Chen} and \textit{J. Yu}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 6, Article ID 2250088, 16 p. (2022; Zbl 1502.34038) Full Text: DOI OpenURL
Lu, Liping; Huang, Wentao Upper bound on the number of zeros of abelian integrals for hyperbolic Hamiltonian systems of degree seven. (English) Zbl 1506.37078 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 6, Article ID 2250087, 15 p. (2022). Reviewer: Maite Grau (Lleida) MSC: 37J38 37J20 37J46 34C08 34C07 PDF BibTeX XML Cite \textit{L. Lu} and \textit{W. Huang}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 6, Article ID 2250087, 15 p. (2022; Zbl 1506.37078) Full Text: DOI OpenURL
Yang, Junmin; Hu, Xing Limit cycle bifurcations near a heteroclinic loop with two nilpotent cusps of general order. (English) Zbl 1505.34049 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 6, Article ID 2250083, 17 p. (2022). Reviewer: Kwok-wai Chung (Hong Kong) MSC: 34C05 34C23 34C37 34E10 37J40 34C07 PDF BibTeX XML Cite \textit{J. Yang} and \textit{X. Hu}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 6, Article ID 2250083, 17 p. (2022; Zbl 1505.34049) Full Text: DOI OpenURL
Zhou, Zhengxin Research on the weak center problem of a class of \({\varLambda - \varOmega}\) differential systems. (English) Zbl 07544778 Bull. Malays. Math. Sci. Soc. (2) 45, No. 4, 1863-1875 (2022). MSC: 34C05 34C25 34C07 PDF BibTeX XML Cite \textit{Z. Zhou}, Bull. Malays. Math. Sci. Soc. (2) 45, No. 4, 1863--1875 (2022; Zbl 07544778) Full Text: DOI OpenURL
Fan, Zhihui; Du, Zhengdong Bifurcation of limit cycles from a parabolic-parabolic type critical point in a class of planar piecewise smooth quadratic systems. (English) Zbl 1489.34049 Nonlinear Anal., Real World Appl. 67, Article ID 103577, 22 p. (2022). MSC: 34C07 34C23 34A36 PDF BibTeX XML Cite \textit{Z. Fan} and \textit{Z. Du}, Nonlinear Anal., Real World Appl. 67, Article ID 103577, 22 p. (2022; Zbl 1489.34049) Full Text: DOI OpenURL
Huang, Wentao; He, Dongping; Cai, Junning Local cyclicity and criticality in FF-type piecewise smooth cubic and quartic Kukles systems. (English) Zbl 1506.34044 Nonlinear Anal., Real World Appl. 67, Article ID 103565, 45 p. (2022). Reviewer: Valentine Tyshchenko (Grodno) MSC: 34C05 34C07 34A36 34C23 PDF BibTeX XML Cite \textit{W. Huang} et al., Nonlinear Anal., Real World Appl. 67, Article ID 103565, 45 p. (2022; Zbl 1506.34044) Full Text: DOI OpenURL
Gaiko, Valery A. Limit cycles of multi-parameter polynomial dynamical systems. (English) Zbl 1504.34063 J. Math. Sci., New York 260, No. 5, 662-677 (2022) and Ukr. Mat. Visn. 18, No. 4, 518-539 (2021). Reviewer: Gheorghe Tigan (Timișoara) MSC: 34C05 34C07 34C23 34C60 PDF BibTeX XML Cite \textit{V. A. Gaiko}, J. Math. Sci., New York 260, No. 5, 662--677 (2022; Zbl 1504.34063) Full Text: DOI OpenURL
Zhou, Zhengxin Weak center for a class of \(\Lambda\)-\(\Omega\) differential systems. (English) Zbl 1499.34224 Electron. J. Qual. Theory Differ. Equ. 2022, Paper No. 22, 15 p. (2022). MSC: 34C05 34C07 34C25 PDF BibTeX XML Cite \textit{Z. Zhou}, Electron. J. Qual. Theory Differ. Equ. 2022, Paper No. 22, 15 p. (2022; Zbl 1499.34224) Full Text: DOI OpenURL
Wang, Qinlong; Xiong, Yu’e; Huang, Wentao; Romanovski, Valery G. Isolated periodic wave trains in a generalized Burgers-Huxley equation. (English) Zbl 1499.35058 Electron. J. Qual. Theory Differ. Equ. 2022, Paper No. 4, 16 p. (2022). MSC: 35B32 34C07 34D20 37J20 35Q51 PDF BibTeX XML Cite \textit{Q. Wang} et al., Electron. J. Qual. Theory Differ. Equ. 2022, Paper No. 4, 16 p. (2022; Zbl 1499.35058) Full Text: DOI OpenURL
Xiong, Li; Wu, Kuilin; Li, Shimin Phase portraits of the discontinuous planar piecewise linear differential systems of focus-center type. (English) Zbl 1506.34030 Qual. Theory Dyn. Syst. 21, No. 3, Paper No. 78, 20 p. (2022). Reviewer: Valentine Tyshchenko (Grodno) MSC: 34A36 34C05 34C07 34C23 34A30 PDF BibTeX XML Cite \textit{L. Xiong} et al., Qual. Theory Dyn. Syst. 21, No. 3, Paper No. 78, 20 p. (2022; Zbl 1506.34030) Full Text: DOI OpenURL
Simpson, D. J. W. Twenty Hopf-like bifurcations in piecewise-smooth dynamical systems. (English) Zbl 1508.37065 Phys. Rep. 970, 1-80 (2022). MSC: 37G15 37G10 34C23 34C05 34C07 PDF BibTeX XML Cite \textit{D. J. W. Simpson}, Phys. Rep. 970, 1--80 (2022; Zbl 1508.37065) Full Text: DOI arXiv OpenURL
da Cruz, Leonardo P. C.; Torregrosa, Joan Bifurcation of limit cycles in piecewise quadratic differential systems with an invariant straight line. (English) Zbl 1503.34088 J. Math. Anal. Appl. 514, No. 1, Article ID 126256, 17 p. (2022). Reviewer: Joan C. Artés (Barcelona) MSC: 34C23 34C05 34C07 34A36 34C45 PDF BibTeX XML Cite \textit{L. P. C. da Cruz} and \textit{J. Torregrosa}, J. Math. Anal. Appl. 514, No. 1, Article ID 126256, 17 p. (2022; Zbl 1503.34088) Full Text: DOI arXiv OpenURL
Liang, Haihua; Huang, Jianfeng On the uniqueness and expression of limit cycles in planar polynomial differential system via monotone iterative technique. (English) Zbl 1508.34028 Appl. Anal. 101, No. 9, 3365-3388 (2022). Reviewer: Alexander Grin (Grodno) MSC: 34C05 34A45 34C07 34B30 PDF BibTeX XML Cite \textit{H. Liang} and \textit{J. Huang}, Appl. Anal. 101, No. 9, 3365--3388 (2022; Zbl 1508.34028) Full Text: DOI OpenURL
Françoise, Jean-Pierre; Gavrilov, Lubomir Perturbation theory of the quadratic Lotka-Volterra double center. (English) Zbl 1501.34030 Commun. Contemp. Math. 24, No. 5, Article ID 2150064, 38 p. (2022). Reviewer: Jihua Yang (Guyuan) MSC: 34C05 34C23 34C07 34E10 PDF BibTeX XML Cite \textit{J.-P. Françoise} and \textit{L. Gavrilov}, Commun. Contemp. Math. 24, No. 5, Article ID 2150064, 38 p. (2022; Zbl 1501.34030) Full Text: DOI arXiv OpenURL
Llibre, Jaume; Valls, Claudia Limit cycles of piecewise differential systems with linear Hamiltonian saddles and linear centres. (English) Zbl 1504.34073 Dyn. Syst. 37, No. 2, 262-279 (2022). Reviewer: Adriana Buică (Cluj-Napoca) MSC: 34C05 34C23 34C07 34C29 34A36 34A30 34A05 PDF BibTeX XML Cite \textit{J. Llibre} and \textit{C. Valls}, Dyn. Syst. 37, No. 2, 262--279 (2022; Zbl 1504.34073) Full Text: DOI OpenURL
Zou, Li; Zhao, Liqin The cyclicity of a class of global nilpotent center under perturbations of piecewise smooth polynomials with four zones. (English) Zbl 1500.34018 Qual. Theory Dyn. Syst. 21, No. 3, Paper No. 73, 29 p. (2022). MSC: 34A36 37J40 34F10 34C23 34C07 34C05 34E10 PDF BibTeX XML Cite \textit{L. Zou} and \textit{L. Zhao}, Qual. Theory Dyn. Syst. 21, No. 3, Paper No. 73, 29 p. (2022; Zbl 1500.34018) Full Text: DOI OpenURL
Llibre, Jaume; Valls, Claudia Non-existence and uniqueness of limit cycles in a class of generalized Liénard equations. (English) Zbl 1500.34028 Bol. Soc. Mat. Mex., III. Ser. 28, No. 2, Paper No. 41, 12 p. (2022). Reviewer: Valentine Tyshchenko (Grodno) MSC: 34C05 34C07 PDF BibTeX XML Cite \textit{J. Llibre} and \textit{C. Valls}, Bol. Soc. Mat. Mex., III. Ser. 28, No. 2, Paper No. 41, 12 p. (2022; Zbl 1500.34028) Full Text: DOI OpenURL
Ito, Katsushi; Kondo, Takayasu; Shu, Hongfei Wall-crossing of TBA equations and WKB periods for the third order ODE. (English) Zbl 1495.81053 Nucl. Phys., B 979, Article ID 115788, 55 p. (2022). MSC: 81Q20 34C07 14D22 82B23 82B30 PDF BibTeX XML Cite \textit{K. Ito} et al., Nucl. Phys., B 979, Article ID 115788, 55 p. (2022; Zbl 1495.81053) Full Text: DOI arXiv OpenURL
Zhang, Xiaolei; Xiong, Yanqin; Zhang, Yi The number of limit cycles by perturbing a piecewise linear system with three zones. (English) Zbl 1501.34021 Commun. Pure Appl. Anal. 21, No. 5, 1833-1855 (2022). Reviewer: Zhengdong Du (Chengdu) MSC: 34A36 34C05 34C07 34E10 34C23 37J40 34A30 PDF BibTeX XML Cite \textit{X. Zhang} et al., Commun. Pure Appl. Anal. 21, No. 5, 1833--1855 (2022; Zbl 1501.34021) Full Text: DOI OpenURL
Ke, Ai; Han, Maoan; Geng, Wei The number of limit cycles from the perturbation of a quadratic isochronous system with two switching lines. (English) Zbl 07524326 Commun. Pure Appl. Anal. 21, No. 5, 1793-1809 (2022). MSC: 34A36 34C05 34C07 34C23 34E10 PDF BibTeX XML Cite \textit{A. Ke} et al., Commun. Pure Appl. Anal. 21, No. 5, 1793--1809 (2022; Zbl 07524326) Full Text: DOI OpenURL
Wang, Xiangyu; Wu, Yusen; Guo, Laigang Bifurcation analysis for a class of cubic switching systems. (English) Zbl 1505.34061 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 5, Article ID 2250073, 19 p. (2022). Reviewer: Xiuli Cen (Zhuhai) MSC: 34C23 34C07 34A36 34C05 PDF BibTeX XML Cite \textit{X. Wang} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 5, Article ID 2250073, 19 p. (2022; Zbl 1505.34061) Full Text: DOI OpenURL
Cai, Meilan; Han, Maoan The number of limit cycles for a class of cubic systems with multiple parameters. (English) Zbl 1504.34081 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 5, Article ID 2250072, 18 p. (2022). Reviewer: Qinlong Wang (Guilin) MSC: 34C07 34C05 34C23 34E10 34E05 PDF BibTeX XML Cite \textit{M. Cai} and \textit{M. Han}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 5, Article ID 2250072, 18 p. (2022; Zbl 1504.34081) Full Text: DOI OpenURL
Diab, Zouhair; Guirao, Juan L. G.; Vera, Juan A. On the limit cycles for a class of generalized Liénard differential systems. (English) Zbl 1500.34025 Dyn. Syst. 37, No. 1, 1-8 (2022). Reviewer: Gheorghe Tigan (Timișoara) MSC: 34C05 34C29 34C08 34C07 34C23 PDF BibTeX XML Cite \textit{Z. Diab} et al., Dyn. Syst. 37, No. 1, 1--8 (2022; Zbl 1500.34025) Full Text: DOI OpenURL
Liu, Changjian; Li, Chengzhi; Llibre, Jaume The cyclicity of the period annulus of a reversible quadratic system. (English) Zbl 1508.34030 Proc. R. Soc. Edinb., Sect. A, Math. 152, No. 2, 281-290 (2022). Reviewer: Jeidy Johana Jimenez (Goiânia) MSC: 34C07 34C08 34C23 34E10 34C14 34C05 PDF BibTeX XML Cite \textit{C. Liu} et al., Proc. R. Soc. Edinb., Sect. A, Math. 152, No. 2, 281--290 (2022; Zbl 1508.34030) Full Text: DOI Link OpenURL
Gong, Shuhua; Han, Maoan An estimate of the number of limit cycles bifurcating from a planar integrable system. (English) Zbl 1498.37082 Bull. Sci. Math. 176, Article ID 103118, 39 p. (2022). Reviewer: Zhengdong Du (Chengdu) MSC: 37G15 37J20 37J35 34C07 34C05 PDF BibTeX XML Cite \textit{S. Gong} and \textit{M. Han}, Bull. Sci. Math. 176, Article ID 103118, 39 p. (2022; Zbl 1498.37082) Full Text: DOI OpenURL
Hu, Xing; Yang, Junmin Limit cycle bifurcations for a kind of Liénard system with degree seven. (English) Zbl 1508.34043 J. Dyn. Control Syst. 28, No. 2, 267-290 (2022). Reviewer: Tao Li (Chengdu) MSC: 34C23 34C05 34C07 34E10 PDF BibTeX XML Cite \textit{X. Hu} and \textit{J. Yang}, J. Dyn. Control Syst. 28, No. 2, 267--290 (2022; Zbl 1508.34043) Full Text: DOI OpenURL
Ji, Gui Lin; Liu, Chang Jian; Li, Peng Heng Bifurcation of limit cycles for a perturbed piecewise quadratic differential systems. (English) Zbl 07499598 Acta Math. Sin., Engl. Ser. 38, No. 3, 591-611 (2022). MSC: 34A36 34C07 34C08 34C23 34E10 PDF BibTeX XML Cite \textit{G. L. Ji} et al., Acta Math. Sin., Engl. Ser. 38, No. 3, 591--611 (2022; Zbl 07499598) Full Text: DOI OpenURL
Huzak, Renato Cyclicity of canard cycles with hyperbolic saddles located away from the critical curve. (English) Zbl 1493.34163 J. Differ. Equations 320, 479-509 (2022). MSC: 34E17 34C07 34C23 34C05 34E15 34C26 34E20 PDF BibTeX XML Cite \textit{R. Huzak}, J. Differ. Equations 320, 479--509 (2022; Zbl 1493.34163) Full Text: DOI OpenURL
Braun, Francisco; Fernandes, Filipe On Reeb components of nonsingular polynomial differential systems on the real plane. (English) Zbl 1498.37030 J. Differ. Equations 320, 469-478 (2022). Reviewer: Valery A. Gaiko (Minsk) MSC: 37C20 37C86 34C05 34C07 PDF BibTeX XML Cite \textit{F. Braun} and \textit{F. Fernandes}, J. Differ. Equations 320, 469--478 (2022; Zbl 1498.37030) Full Text: DOI OpenURL
Llibre, Jaume; Martínez, Y. Paulina; Vidal, Claudio Algebraic and topological classification of homogeneous quartic vector fields in the plane. (English) Zbl 1497.37029 Ann. Mat. Pura Appl. (4) 201, No. 1, 37-55 (2022). Reviewer: Zhengdong Du (Chengdu) MSC: 37C15 37C10 34C05 34C07 PDF BibTeX XML Cite \textit{J. Llibre} et al., Ann. Mat. Pura Appl. (4) 201, No. 1, 37--55 (2022; Zbl 1497.37029) Full Text: DOI OpenURL