Li, Tao; Llibre, Jaume Limit cycles of piecewise polynomial differential systems with the discontinuity line \(xy = 0\). (English) Zbl 1490.34038 Commun. Pure Appl. Anal. 20, No. 11, 3887-3909 (2021). Reviewer: Armengol Gasull (Barcelona) MSC: 34C07 34E10 34A36 34C05 34C23 34C14 34C29 37J40 PDFBibTeX XMLCite \textit{T. Li} and \textit{J. Llibre}, Commun. Pure Appl. Anal. 20, No. 11, 3887--3909 (2021; Zbl 1490.34038) Full Text: DOI
Bastos, Jefferson L. R.; Buzzi, Claudio A.; Torregrosa, Joan Orbitally symmetric systems with applications to planar centers. (English) Zbl 1493.34120 Commun. Pure Appl. Anal. 20, No. 10, 3319-3347 (2021). Reviewer: Maite Grau (Lleida) MSC: 34C14 34C25 34C07 34C05 PDFBibTeX XMLCite \textit{J. L. R. Bastos} et al., Commun. Pure Appl. Anal. 20, No. 10, 3319--3347 (2021; Zbl 1493.34120) Full Text: DOI
Javed, Mehwish; Kashif, Agha; Javaid, Muhammad On algebraic aspects of SSC associated to the subdivided prism graph. (English) Zbl 1475.13021 J. Prime Res. Math. 17, No. 1, 7-20 (2021). MSC: 13C14 05E45 13F20 13H10 13F55 PDFBibTeX XMLCite \textit{M. Javed} et al., J. Prime Res. Math. 17, No. 1, 7--20 (2021; Zbl 1475.13021) Full Text: Link
Shafiei, M.; Khojali, A.; Azari, A.; Zamani, N. Hilbert-Kirby polynomials in generalized local cohomology modules. (English) Zbl 1477.13039 Acta Math. Vietnam. 46, No. 4, 747-759 (2021). Reviewer: Kamran Divaani-Aazar (Tehran) MSC: 13D45 14B15 13D40 13E10 PDFBibTeX XMLCite \textit{M. Shafiei} et al., Acta Math. Vietnam. 46, No. 4, 747--759 (2021; Zbl 1477.13039) Full Text: DOI
Abdullah Qadha, Sarah; Qadha, Muneera Abdullah; Chen, Haibo Existence of limit cycles for a class of quartic polynomial differential system depending on parameters. (English) Zbl 1477.34052 J. Math. 2021, Article ID 2137138, 6 p. (2021). MSC: 34C05 34C23 34C07 PDFBibTeX XMLCite \textit{S. Abdullah Qadha} et al., J. Math. 2021, Article ID 2137138, 6 p. (2021; Zbl 1477.34052) Full Text: DOI
Molag, Leslie D.; Stevens, Marco Universality for conditional measures of the Bessel point process. (English) Zbl 1481.60092 Random Matrices Theory Appl. 10, No. 1, Article ID 2150012, 35 p. (2021). MSC: 60G55 15B52 35Q15 42C05 PDFBibTeX XMLCite \textit{L. D. Molag} and \textit{M. Stevens}, Random Matrices Theory Appl. 10, No. 1, Article ID 2150012, 35 p. (2021; Zbl 1481.60092) Full Text: DOI arXiv
Shao, Yi; Li, Shimin; Wu, Kuilin Global phase portraits of planar piecewise linear refracting systems of saddle-saddle type. (English) Zbl 1474.34229 Nonlinear Anal., Real World Appl. 62, Article ID 103381, 15 p. (2021). MSC: 34C05 34A36 34C23 34C07 34C20 PDFBibTeX XMLCite \textit{Y. Shao} et al., Nonlinear Anal., Real World Appl. 62, Article ID 103381, 15 p. (2021; Zbl 1474.34229) Full Text: DOI
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 PDFBibTeX XMLCite \textit{S. Li} et al., Nonlinear Anal., Hybrid Syst. 41, Article ID 101045, 14 p. (2021; Zbl 1474.34286) Full Text: DOI
Gimeno, Joan; Yang, Jiaqi; de la Llave, Rafael Numerical computation of periodic orbits and isochrons for state-dependent delay perturbation of an ODE in the plane. (English) Zbl 1487.37094 SIAM J. Appl. Dyn. Syst. 20, No. 3, 1514-1543 (2021). Reviewer: Fernando Casas (Castellon) MSC: 37M05 37M21 37C27 34C07 34C25 PDFBibTeX XMLCite \textit{J. Gimeno} et al., SIAM J. Appl. Dyn. Syst. 20, No. 3, 1514--1543 (2021; Zbl 1487.37094) Full Text: DOI arXiv
Hamizi, Saad Eddine; Boukoucha, Rachid A family of planar differential systems with explicit expression for algebraic and non-algebraic limit cycles. (English) Zbl 1473.34022 Mem. Differ. Equ. Math. Phys. 83, 71-81 (2021). MSC: 34C05 34C07 37C27 37K10 PDFBibTeX XMLCite \textit{S. E. Hamizi} and \textit{R. Boukoucha}, Mem. Differ. Equ. Math. Phys. 83, 71--81 (2021; Zbl 1473.34022) Full Text: Link
Berbache, Aziza Two explicit non-algebraic crossing limit cycles for a family of piecewise linear systems. (English) Zbl 1473.34033 Mem. Differ. Equ. Math. Phys. 83, 13-29 (2021). MSC: 34C25 34A36 34C07 PDFBibTeX XMLCite \textit{A. Berbache}, Mem. Differ. Equ. Math. Phys. 83, 13--29 (2021; Zbl 1473.34033) Full Text: Link
Gasull, Armengol; Giacomini, Hector Effectiveness of the Bendixson-Dulac theorem. (English) Zbl 1490.34031 J. Differ. Equations 305, 347-367 (2021). Reviewer: Alexander Grin (Grodno) MSC: 34C05 34C07 34A34 PDFBibTeX XMLCite \textit{A. Gasull} and \textit{H. Giacomini}, J. Differ. Equations 305, 347--367 (2021; Zbl 1490.34031) Full Text: DOI arXiv
Li, Zhengkang; Liu, Xingbo Limit cycles in the discontinuous planar piecewise linear systems with three zones. (English) Zbl 1486.34076 Qual. Theory Dyn. Syst. 20, No. 3, Paper No. 79, 22 p. (2021). Reviewer: Zhengdong Du (Chengdu) MSC: 34C07 34A36 34C05 34C20 34A05 PDFBibTeX XMLCite \textit{Z. Li} and \textit{X. Liu}, Qual. Theory Dyn. Syst. 20, No. 3, Paper No. 79, 22 p. (2021; Zbl 1486.34076) Full Text: DOI
Rinaldo, Giancarlo; Romeo, Francesco Hilbert series of simple thin polyominoes. (English) Zbl 1480.13014 J. Algebr. Comb. 54, No. 2, 607-624 (2021). Reviewer: Hidefumi Ohsugi (Hyogo) MSC: 13D40 05B50 PDFBibTeX XMLCite \textit{G. Rinaldo} and \textit{F. Romeo}, J. Algebr. Comb. 54, No. 2, 607--624 (2021; Zbl 1480.13014) Full Text: DOI arXiv
Du, Chao-xiong; Huang, Wen-tao Multiple bifurcations of critical period for a quartic Kolmogorov model. (English) Zbl 1487.34097 Acta Math. Appl. Sin., Engl. Ser. 37, No. 4, 673-681 (2021). Reviewer: Iliya Iliev (Sofia) MSC: 34C23 34C07 34C05 PDFBibTeX XMLCite \textit{C.-x. Du} and \textit{W.-t. Huang}, Acta Math. Appl. Sin., Engl. Ser. 37, No. 4, 673--681 (2021; Zbl 1487.34097) Full Text: DOI
Llibre, Jaume; Salhi, Tayeb On a class of polynomial differential systems of degree 4: phase portraits and limit cycles. (English) Zbl 1486.34072 Topol. Methods Nonlinear Anal. 57, No. 2, 441-463 (2021). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C05 34A34 34C29 34C23 34C07 PDFBibTeX XMLCite \textit{J. Llibre} and \textit{T. Salhi}, Topol. Methods Nonlinear Anal. 57, No. 2, 441--463 (2021; Zbl 1486.34072) Full Text: DOI
Buzzi, Claudio A.; Rodero, Ana Livia; Torregrosa, Joan Centers and limit cycles of vector fields defined on invariant spheres. (English) Zbl 1490.34028 J. Nonlinear Sci. 31, No. 6, Paper No. 92, 28 p. (2021). Reviewer: Jihua Yang (Guyuan) MSC: 34C05 34C40 34A05 34C07 34C23 PDFBibTeX XMLCite \textit{C. A. Buzzi} et al., J. Nonlinear Sci. 31, No. 6, Paper No. 92, 28 p. (2021; Zbl 1490.34028) Full Text: DOI
Gavrilov, Lubomir; Gargouri, Ameni; Ben Hamed, Bassem Special cubic perturbations of the Duffing oscillator \(x''=x-x^3\) near the eight-loop. (English) Zbl 1523.37062 Mediterr. J. Math. 18, No. 6, Paper No. 229, 15 p. (2021). MSC: 37G15 34C07 34C05 34C15 34C23 34D10 PDFBibTeX XMLCite \textit{L. Gavrilov} et al., Mediterr. J. Math. 18, No. 6, Paper No. 229, 15 p. (2021; Zbl 1523.37062) Full Text: DOI arXiv
García, Isaac A. Center cyclicity for some nilpotent singularities including the \(\mathbb{Z}_2\)-equivariant class. (English) Zbl 1512.37055 Commun. Contemp. Math. 23, No. 7, Article ID 2050053, 39 p. (2021). MSC: 37G15 37G10 37G40 34C07 34C23 PDFBibTeX XMLCite \textit{I. A. García}, Commun. Contemp. Math. 23, No. 7, Article ID 2050053, 39 p. (2021; Zbl 1512.37055) Full Text: DOI
Zhou, Jinping; Zhao, Liqin; Wang, Jiaxin Cyclicity of a class of Hamiltonian systems under perturbations of piecewise smooth polynomials. (English) Zbl 1486.37032 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 13, Article ID 2150199, 14 p. (2021). Reviewer: Iliya Iliev (Sofia) MSC: 37J40 37J20 34C07 34C08 PDFBibTeX XMLCite \textit{J. Zhou} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 13, Article ID 2150199, 14 p. (2021; Zbl 1486.37032) Full Text: DOI
Liang, Feng; Liu, Yeqing; Chen, Chong The number of limit cycles bifurcating from a quadratic reversible center. (English) Zbl 1486.34075 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 13, Article ID 2150192, 18 p. (2021). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C07 34C05 34E10 34C14 PDFBibTeX XMLCite \textit{F. Liang} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 13, Article ID 2150192, 18 p. (2021; Zbl 1486.34075) Full Text: DOI
Chen, Jiayi; Tian, Yun Maximum number of small limit cycles in some rational Liénard systems with cubic restoring terms. (English) Zbl 1490.34035 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 12, Article ID 2150176, 9 p. (2021). Reviewer: Alexander Grin (Grodno) MSC: 34C07 34C05 34C23 34B30 PDFBibTeX XMLCite \textit{J. Chen} and \textit{Y. Tian}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 12, Article ID 2150176, 9 p. (2021; Zbl 1490.34035) Full Text: DOI
Brustenga i Moncusí, Laura; Masuti, Shreedevi K. The Waring rank of binary binomial forms. (English) Zbl 1496.13029 Pac. J. Math. 313, No. 2, 327-342 (2021). Reviewer: Ettore Teixeira Turatti (Firenze) MSC: 13F20 11P05 14N05 14N07 PDFBibTeX XMLCite \textit{L. Brustenga i Moncusí} and \textit{S. K. Masuti}, Pac. J. Math. 313, No. 2, 327--342 (2021; Zbl 1496.13029) Full Text: DOI arXiv
Xiong, Yanqin; Han, Maoan Limit cycles appearing from a generalized heteroclinic loop with a cusp and a nilpotent saddle. (English) Zbl 1489.34051 J. Differ. Equations 303, 575-607 (2021). Reviewer: Iliya Iliev (Sofia) MSC: 34C07 34C05 34C23 34C37 34A36 34E10 PDFBibTeX XMLCite \textit{Y. Xiong} and \textit{M. Han}, J. Differ. Equations 303, 575--607 (2021; Zbl 1489.34051) Full Text: DOI
Chen, Ting; Huang, Lihong; Yu, Pei Center condition and bifurcation of limit cycles for quadratic switching systems with a nilpotent equilibrium point. (English) Zbl 1484.34064 J. Differ. Equations 303, 326-368 (2021). Reviewer: Zhengdong Du (Chengdu) MSC: 34A36 34C05 34C23 34C07 PDFBibTeX XMLCite \textit{T. Chen} et al., J. Differ. Equations 303, 326--368 (2021; Zbl 1484.34064) Full Text: DOI
Morrison, Andrew; Shen, Junliang Hodge numbers of generalized Kummer schemes via relative power structures. (English) Zbl 1481.14007 Mosc. Math. J. 21, No. 4, 807-830 (2021). MSC: 14C05 14K05 14F08 PDFBibTeX XMLCite \textit{A. Morrison} and \textit{J. Shen}, Mosc. Math. J. 21, No. 4, 807--830 (2021; Zbl 1481.14007) Full Text: arXiv Link
Chen, Hebai; Llibre, Jaume; Tang, Yilei The limit cycles of the Higgins-Selkov systems. (English) Zbl 1486.34095 J. Nonlinear Sci. 31, No. 5, Paper No. 85, 25 p. (2021). Reviewer: Klaus R. Schneider (Berlin) MSC: 34C60 34C05 34C07 34C23 92C45 PDFBibTeX XMLCite \textit{H. Chen} et al., J. Nonlinear Sci. 31, No. 5, Paper No. 85, 25 p. (2021; Zbl 1486.34095) Full Text: DOI
Ke, Ai; Han, Maoan Limit cycles from perturbing a piecewise smooth system with a center and a homoclinic loop. (English) Zbl 1489.34050 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 10, Article ID 2150159, 15 p. (2021). Reviewer: Xiang Zhang (Shanghai) MSC: 34C07 34C05 34C23 34A36 34E10 PDFBibTeX XMLCite \textit{A. Ke} and \textit{M. Han}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 10, Article ID 2150159, 15 p. (2021; Zbl 1489.34050) Full Text: DOI
Zegeling, André; Kooij, Robert E. Several bifurcation mechanisms for limit cycles in a predator-prey system. (English) Zbl 1477.34075 Qual. Theory Dyn. Syst. 20, No. 3, Paper No. 65, 48 p. (2021). MSC: 34C60 92D25 34C05 34C23 34C07 34E15 PDFBibTeX XMLCite \textit{A. Zegeling} and \textit{R. E. Kooij}, Qual. Theory Dyn. Syst. 20, No. 3, Paper No. 65, 48 p. (2021; Zbl 1477.34075) Full Text: DOI
Wei, Lijun; Zhang, Qingjing; Zhang, Xiang On limit cycles near two centres and a double homoclinic loop in Liénard differential system. (English) Zbl 1482.34098 J. Differ. Equations 300, 226-251 (2021). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C07 34C29 37M20 37J40 34C23 34C05 PDFBibTeX XMLCite \textit{L. Wei} et al., J. Differ. Equations 300, 226--251 (2021; Zbl 1482.34098) Full Text: DOI
Sawin, Will A geometric approach to the sup-norm problem for automorphic forms: the case of newforms on \(\mathrm{GL}_2 (\mathbb{F}_q (T))\) with squarefree level. (English) Zbl 1480.11055 Proc. Lond. Math. Soc. (3) 123, No. 1, 1-56 (2021). MSC: 11F41 11T55 14F20 14G15 PDFBibTeX XMLCite \textit{W. Sawin}, Proc. Lond. Math. Soc. (3) 123, No. 1, 1--56 (2021; Zbl 1480.11055) Full Text: DOI arXiv
Tian, Yun; Shang, Xinyu; Han, Maoan Bifurcation of limit cycles in a piecewise smooth near-integrable system. (English) Zbl 1483.34055 J. Math. Anal. Appl. 504, No. 2, Article ID 125578, 11 p. (2021). Reviewer: Majid Gazor (Isfahan) MSC: 34C23 34C05 34E10 34C07 PDFBibTeX XMLCite \textit{Y. Tian} et al., J. Math. Anal. Appl. 504, No. 2, Article ID 125578, 11 p. (2021; Zbl 1483.34055) Full Text: DOI
Kumar, Arvind; Kumar, Rajiv; Sarkar, Rajib; Selvaraja, S. Symbolic powers of certain cover ideals of graphs. (English) Zbl 1474.13029 Acta Math. Vietnam. 46, No. 3, 599-611 (2021). Reviewer: S. A. Seyed Fakhari (Tehran) MSC: 13D02 13F20 PDFBibTeX XMLCite \textit{A. Kumar} et al., Acta Math. Vietnam. 46, No. 3, 599--611 (2021; Zbl 1474.13029) Full Text: DOI arXiv
Bhunia, Pintu; Paul, Kallol Proper improvement of well-known numerical radius inequalities and their applications. (English) Zbl 1483.47014 Result. Math. 76, No. 4, Paper No. 177, 12 p. (2021). Reviewer: V. Lokesha (Bangalore) MSC: 47A12 15A60 26C10 PDFBibTeX XMLCite \textit{P. Bhunia} and \textit{K. Paul}, Result. Math. 76, No. 4, Paper No. 177, 12 p. (2021; Zbl 1483.47014) Full Text: DOI arXiv
Yang, Jihua Limit cycles in two kinds of quadratic reversible systems with non-smooth perturbations. (English) Zbl 1478.34038 Qual. Theory Dyn. Syst. 20, No. 2, Paper No. 54, 31 p. (2021). Reviewer: Joan C. Artés (Barcelona) MSC: 34C05 34C14 34E10 34C23 34A36 34C07 PDFBibTeX XMLCite \textit{J. Yang}, Qual. Theory Dyn. Syst. 20, No. 2, Paper No. 54, 31 p. (2021; Zbl 1478.34038) Full Text: DOI
Zhao, Qianqian; Wang, Cheng; Yu, Jiang Limit cycles in discontinuous planar piecewise linear systems separated by a nonregular line of center-center type. (English) Zbl 1479.34061 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 9, Article ID 2150136, 17 p. (2021). Reviewer: Zhengdong Du (Chengdu) MSC: 34C07 34C05 34A36 34C23 PDFBibTeX XMLCite \textit{Q. Zhao} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 9, Article ID 2150136, 17 p. (2021; Zbl 1479.34061) Full Text: DOI
Chen, Xiaoyan; Han, Maoan Number of limit cycles from a class of perturbed piecewise polynomial systems. (English) Zbl 1512.34072 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 9, Article ID 2150123, 29 p. (2021). MSC: 34C07 34A36 34C23 37J40 34C45 PDFBibTeX XMLCite \textit{X. Chen} and \textit{M. Han}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 9, Article ID 2150123, 29 p. (2021; Zbl 1512.34072) Full Text: DOI
Zhang, Guoqiang; Ling, Liming; Yan, Zhenya Multi-component nonlinear Schrödinger equations with nonzero boundary conditions: higher-order vector Peregrine solitons and asymptotic estimates. (English) Zbl 1476.35252 J. Nonlinear Sci. 31, No. 5, Paper No. 81, 52 p. (2021). MSC: 35Q55 35Q51 35Q15 37K40 37K10 37K35 35C08 PDFBibTeX XMLCite \textit{G. Zhang} et al., J. Nonlinear Sci. 31, No. 5, Paper No. 81, 52 p. (2021; Zbl 1476.35252) Full Text: DOI arXiv
Mukhamedov, Farrukh Weighted laws of large numbers and convergence of weighted ergodic averages on vector valued \(L_p\)-spaces. (English) Zbl 1494.47015 Adv. Oper. Theory 6, No. 3, Paper No. 57, 34 p. (2021). MSC: 47A35 47H25 37A05 37A30 60G10 47H60 PDFBibTeX XMLCite \textit{F. Mukhamedov}, Adv. Oper. Theory 6, No. 3, Paper No. 57, 34 p. (2021; Zbl 1494.47015) Full Text: DOI
Wang, Yangyang; Gill, Jeffrey P.; Chiel, Hillel J.; Thomas, Peter J. Shape versus timing: linear responses of a limit cycle with hard boundaries under instantaneous and static perturbation. (English) Zbl 1482.34047 SIAM J. Appl. Dyn. Syst. 20, No. 2, 701-744 (2021). Reviewer: Fabio Vito Difonzo (Bari) MSC: 34A36 34C05 34D10 34C15 34C07 58E25 49J52 PDFBibTeX XMLCite \textit{Y. Wang} et al., SIAM J. Appl. Dyn. Syst. 20, No. 2, 701--744 (2021; Zbl 1482.34047) Full Text: DOI arXiv
Sang, Bo Focus quantities with applications to some finite-dimensional systems. (English) Zbl 1472.34063 Math. Methods Appl. Sci. 44, No. 1, 464-475 (2021). MSC: 34C05 34C23 34C07 34C28 PDFBibTeX XMLCite \textit{B. Sang}, Math. Methods Appl. Sci. 44, No. 1, 464--475 (2021; Zbl 1472.34063) Full Text: DOI
Kassa, Sara; Llibre, Jaume; Makhlouf, Amar Limit cycles bifurcating from a zero-Hopf equilibrium of a 3-dimensional continuous differential system. (English) Zbl 1477.37061 São Paulo J. Math. Sci. 15, No. 1, 419-426 (2021). Reviewer: Valery A. Gaiko (Minsk) MSC: 37G15 34C29 37C75 34C05 34C07 PDFBibTeX XMLCite \textit{S. Kassa} et al., São Paulo J. Math. Sci. 15, No. 1, 419--426 (2021; Zbl 1477.37061) Full Text: DOI Link
Zhang, Xu On the omega-limit sets of planar nonautonomous differential equations with nonpositive Lyapunov exponents. (English) Zbl 1476.37042 J. Dyn. Control Syst. 27, No. 3, 457-476 (2021). MSC: 37C60 37C75 37C70 37C29 34C05 34C07 PDFBibTeX XMLCite \textit{X. Zhang}, J. Dyn. Control Syst. 27, No. 3, 457--476 (2021; Zbl 1476.37042) Full Text: DOI
Rogalski, Daniel Stably Noetherian algebras of polynomial growth. (English) Zbl 1522.16020 Algebr. Represent. Theory 24, No. 2, 519-540 (2021). MSC: 16P40 16P90 16R20 16W50 16E65 16S38 PDFBibTeX XMLCite \textit{D. Rogalski}, Algebr. Represent. Theory 24, No. 2, 519--540 (2021; Zbl 1522.16020) Full Text: DOI arXiv
Bakhshalizadeh, Ali; Llibre, Jaume Limit cycles of piecewise differential equations on the cylinder. (English) Zbl 1486.34074 Bull. Sci. Math. 170, Article ID 103013, 13 p. (2021). Reviewer: Klaus R. Schneider (Berlin) MSC: 34C07 34A36 34C25 34C40 34C05 PDFBibTeX XMLCite \textit{A. Bakhshalizadeh} and \textit{J. Llibre}, Bull. Sci. Math. 170, Article ID 103013, 13 p. (2021; Zbl 1486.34074) Full Text: DOI
Yang, Jihua; Yan, Jie; Zang, Xiaofang Limit cycles appearing from a perturbed differential system with \(m\) switching lines. (English) Zbl 1474.34239 Math. Appl. 34, No. 2, 277-283 (2021). MSC: 34C07 34C05 34A36 34E10 PDFBibTeX XMLCite \textit{J. Yang} et al., Math. Appl. 34, No. 2, 277--283 (2021; Zbl 1474.34239)
Qian, Xinjie; Shen, Yang; Yang, Jiazhong Invariant algebraic curves and hyperelliptic limit cycles of Liénard systems. (English) Zbl 1478.34041 Qual. Theory Dyn. Syst. 20, No. 2, Paper No. 44, 14 p. (2021). Reviewer: Weinian Zhang (Chengdu) MSC: 34C07 34C05 34C45 PDFBibTeX XMLCite \textit{X. Qian} et al., Qual. Theory Dyn. Syst. 20, No. 2, Paper No. 44, 14 p. (2021; Zbl 1478.34041) Full Text: DOI
Davydov, Oleg; Yeo, Wee Ping \(C^1\) piecewise quadratic hierarchical bases. (English) Zbl 1478.46031 Appl. Comput. Harmon. Anal. 54, 250-272 (2021). MSC: 46E35 46B15 PDFBibTeX XMLCite \textit{O. Davydov} and \textit{W. P. Yeo}, Appl. Comput. Harmon. Anal. 54, 250--272 (2021; Zbl 1478.46031) Full Text: DOI
Wu, Yusen Weak bi-center and critical period bifurcations of a \(Z_2\)-equivariant quintic system. (English) Zbl 1481.34042 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 8, Article ID 2150117, 13 p. (2021). Reviewer: Alexander Grin (Grodno) MSC: 34C05 34C23 34C14 34C07 PDFBibTeX XMLCite \textit{Y. Wu}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 8, Article ID 2150117, 13 p. (2021; Zbl 1481.34042) Full Text: DOI arXiv
Chen, Hebai; Tang, Yilei; Xiao, Dongmei Global dynamics of a quintic Liénard system with \(\mathbb{Z}_2\)-symmetry. I: Saddle case. (English) Zbl 1478.34033 Nonlinearity 34, No. 6, 4332-4372 (2021). Reviewer: Jihua Yang (Guyuan) MSC: 34C05 34C07 34C14 34C23 34C37 PDFBibTeX XMLCite \textit{H. Chen} et al., Nonlinearity 34, No. 6, 4332--4372 (2021; Zbl 1478.34033) Full Text: DOI
Hashemi, Amir; Parnian, Hossein; Seiler, Werner M. Degree upper bounds for involutive bases. (English) Zbl 1491.13038 Math. Comput. Sci. 15, No. 2, 233-254 (2021). Reviewer: Michael F. Singer (Raleigh) MSC: 13P10 68W30 PDFBibTeX XMLCite \textit{A. Hashemi} et al., Math. Comput. Sci. 15, No. 2, 233--254 (2021; Zbl 1491.13038) Full Text: DOI
Llibre, Jaume; Zhang, Xiang A survey on algebraic and explicit non-algebraic limit cycles in planar differential systems. (English) Zbl 1481.34041 Expo. Math. 39, No. 1, 48-61 (2021). Reviewer: Alexander Grin (Grodno) MSC: 34C05 34C07 34C29 34A36 PDFBibTeX XMLCite \textit{J. Llibre} and \textit{X. Zhang}, Expo. Math. 39, No. 1, 48--61 (2021; Zbl 1481.34041) Full Text: DOI
Berbache, Aziza; Bendjeddou, Ahmed; Benadouane, Sabah Maximum number of limit cycles for generalized Liénard polynomial differential systems. (English) Zbl 1499.34225 Math. Bohem. 146, No. 2, 151-165 (2021). Reviewer: Iliya Iliev (Sofia) MSC: 34C07 34C23 34E10 34C29 PDFBibTeX XMLCite \textit{A. Berbache} et al., Math. Bohem. 146, No. 2, 151--165 (2021; Zbl 1499.34225) Full Text: DOI
Sánchez-Sánchez, Iván; Torregrosa, Joan New lower bounds of the number of critical periods in reversible centers. (English) Zbl 1481.34044 J. Differ. Equations 292, 427-460 (2021). Reviewer: Alexander Grin (Grodno) MSC: 34C07 34C23 34C14 34C05 34E10 PDFBibTeX XMLCite \textit{I. Sánchez-Sánchez} and \textit{J. Torregrosa}, J. Differ. Equations 292, 427--460 (2021; Zbl 1481.34044) Full Text: DOI
Sun, Xianbo; Chen, Zhanbo; Yu, Pei Parameter identification on abelian integrals to achieve Chebyshev property. (English) Zbl 1484.34094 Discrete Contin. Dyn. Syst., Ser. B 26, No. 10, 5661-5679 (2021). Reviewer: Maite Grau (Lleida) MSC: 34C08 34C07 34C23 34C37 37J40 34E10 34C05 PDFBibTeX XMLCite \textit{X. Sun} et al., Discrete Contin. Dyn. Syst., Ser. B 26, No. 10, 5661--5679 (2021; Zbl 1484.34094) Full Text: DOI
Tian, Huanhuan; Han, Maoan Limit cycle bifurcations of piecewise smooth near-Hamiltonian systems with a switching curve. (English) Zbl 1486.37031 Discrete Contin. Dyn. Syst., Ser. B 26, No. 10, 5581-5599 (2021). Reviewer: Igor Leite Freire (Sao Paulo) MSC: 37J20 37G15 34A36 34C23 34C05 34C07 70K50 70H33 PDFBibTeX XMLCite \textit{H. Tian} and \textit{M. Han}, Discrete Contin. Dyn. Syst., Ser. B 26, No. 10, 5581--5599 (2021; Zbl 1486.37031) Full Text: DOI
Llibre, Jaume; Valls, Claudia Rational limit cycles of Abel equations. (English) Zbl 1471.34062 Commun. Pure Appl. Anal. 20, No. 3, 1077-1089 (2021). Reviewer: Alexander Grin (Grodno) MSC: 34C05 34C07 34C08 34C25 PDFBibTeX XMLCite \textit{J. Llibre} and \textit{C. Valls}, Commun. Pure Appl. Anal. 20, No. 3, 1077--1089 (2021; Zbl 1471.34062) Full Text: DOI
Bonet, José; Lusky, Wolfgang; Taskinen, Jari On decay rates of the solutions of parabolic Cauchy problems. (English) Zbl 1466.35030 Proc. R. Soc. Edinb., Sect. A, Math. 151, No. 3, 1021-1039 (2021). MSC: 35B40 35K15 46B15 46N20 PDFBibTeX XMLCite \textit{J. Bonet} et al., Proc. R. Soc. Edinb., Sect. A, Math. 151, No. 3, 1021--1039 (2021; Zbl 1466.35030) Full Text: DOI Link
Abdolmaleki, Reza; Kumashiro, Shinya Certain monomial ideals whose numbers of generators of powers descend. (English) Zbl 1462.13022 Arch. Math. 116, No. 6, 637-645 (2021). MSC: 13F55 13D40 13F20 PDFBibTeX XMLCite \textit{R. Abdolmaleki} and \textit{S. Kumashiro}, Arch. Math. 116, No. 6, 637--645 (2021; Zbl 1462.13022) Full Text: DOI arXiv
Elias, J.; Rossi, M. E. A constructive approach to one-dimensional Gorenstein \({\mathbf{k}} \)-algebras. (English) Zbl 1465.13020 Trans. Am. Math. Soc. 374, No. 7, 4953-4971 (2021). Reviewer: Scott Nollet (Fort Worth) MSC: 13H10 13H15 14C05 13F20 13F25 PDFBibTeX XMLCite \textit{J. Elias} and \textit{M. E. Rossi}, Trans. Am. Math. Soc. 374, No. 7, 4953--4971 (2021; Zbl 1465.13020) Full Text: DOI arXiv
Huang, Jianfeng; Liang, Haihua Limit cycles of planar system defined by the sum of two quasi-homogeneous vector fields. (English) Zbl 1471.34060 Discrete Contin. Dyn. Syst., Ser. B 26, No. 2, 861-873 (2021). Reviewer: Valentine Tyshchenko (Grodno) MSC: 34C05 34C07 PDFBibTeX XMLCite \textit{J. Huang} and \textit{H. Liang}, Discrete Contin. Dyn. Syst., Ser. B 26, No. 2, 861--873 (2021; Zbl 1471.34060) Full Text: DOI arXiv
Llibre, Jaume; Lopes, Bruno D.; da Silva, Paulo R. Bifurcations of the Riccati quadratic polynomial differential systems. (English) Zbl 1471.37026 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 6, Article ID 2150094, 13 p. (2021). Reviewer: Vladimir P. Kostov (Nice) MSC: 37C15 37G05 37G10 34C05 34C07 PDFBibTeX XMLCite \textit{J. Llibre} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 6, Article ID 2150094, 13 p. (2021; Zbl 1471.37026) Full Text: DOI arXiv
Sun, Liping; Du, Zhengdong Limit cycles of planar piecewise smooth quadratic systems with focus-parabolic type critical points. (English) Zbl 1480.34014 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 6, Article ID 2150090, 16 p. (2021). Reviewer: Xiuli Cen (Zhuhai) MSC: 34A36 34C05 34C07 34C23 PDFBibTeX XMLCite \textit{L. Sun} and \textit{Z. Du}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 6, Article ID 2150090, 16 p. (2021; Zbl 1480.34014) Full Text: DOI
Huan, Song-Mei; Wu, Tian-Tian; Wang, Lei Poincaré bifurcations induced by a nonregular point on the discontinuity boundary in a family of planar piecewise linear differential systems. (English) Zbl 1493.34123 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 5, Article ID 2150076, 19 p. (2021). Reviewer: Zhengdong Du (Chengdu) MSC: 34C23 34A36 34C05 34C07 PDFBibTeX XMLCite \textit{S.-M. Huan} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 5, Article ID 2150076, 19 p. (2021; Zbl 1493.34123) Full Text: DOI
Wei, Lijun; Xu, Yancong; Zhang, Xiang The number of limit cycles bifurcating from a degenerate center of piecewise smooth differential systems. (English) Zbl 1469.37038 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 5, Article ID 2150067, 20 p. (2021). MSC: 37G15 37M20 34C07 PDFBibTeX XMLCite \textit{L. Wei} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 5, Article ID 2150067, 20 p. (2021; Zbl 1469.37038) Full Text: DOI
Benterki, Rebiha; Llibre, Jaume The limit cycles of discontinuous piecewise linear differential systems formed by centers and separated by irreducible cubic curves I. (English) Zbl 1477.34035 Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 28, No. 3, 153-192 (2021). Reviewer: Jeidy Johana Jimenez (Goiânia) MSC: 34A36 34C05 34C29 47H11 34C07 PDFBibTeX XMLCite \textit{R. Benterki} and \textit{J. Llibre}, Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 28, No. 3, 153--192 (2021; Zbl 1477.34035) Full Text: Link
Esteban, M.; Llibre, J.; Valls, C. The 16th Hilbert problem for discontinuous piecewise isochronous centers of degree one or two separated by a straight line. (English) Zbl 1470.34085 Chaos 31, No. 4, 043112, 18 p. (2021). Reviewer: Iliya Iliev (Sofia) MSC: 34C05 34A36 34C07 PDFBibTeX XMLCite \textit{M. Esteban} et al., Chaos 31, No. 4, 043112, 18 p. (2021; Zbl 1470.34085) Full Text: DOI Link
Llibre, Jaume; Tian, Yuzhou Dynamics of the FitzHugh-Nagumo system having invariant algebraic surfaces. (English) Zbl 1476.37032 Z. Angew. Math. Phys. 72, No. 1, Paper No. 15, 17 p. (2021). Reviewer: Alexander Grin (Grodno) MSC: 37C10 34C05 34C07 37C79 PDFBibTeX XMLCite \textit{J. Llibre} and \textit{Y. Tian}, Z. Angew. Math. Phys. 72, No. 1, Paper No. 15, 17 p. (2021; Zbl 1476.37032) Full Text: DOI
Anacleto, Maria Elisa; Llibre, Jaume; Valls, Claudia; Vidal, Claudio Limit cycles of discontinuous piecewise differential systems formed by linear centers in \(\mathbb{R}^2\) and separated by two circles. (English) Zbl 1468.34021 Nonlinear Anal., Real World Appl. 60, Article ID 103281, 12 p. (2021). MSC: 34A36 34A05 34C05 34C07 PDFBibTeX XMLCite \textit{M. E. Anacleto} et al., Nonlinear Anal., Real World Appl. 60, Article ID 103281, 12 p. (2021; Zbl 1468.34021) Full Text: DOI
Gouveia, Luiz F. S.; Torregrosa, Joan Local cyclicity in low degree planar piecewise polynomial vector fields. (English) Zbl 1477.34060 Nonlinear Anal., Real World Appl. 60, Article ID 103278, 19 p. (2021). Reviewer: Jeidy Johana Jimenez (Goiânia) MSC: 34C07 34A36 34C05 34C23 PDFBibTeX XMLCite \textit{L. F. S. Gouveia} and \textit{J. Torregrosa}, Nonlinear Anal., Real World Appl. 60, Article ID 103278, 19 p. (2021; Zbl 1477.34060) Full Text: DOI
Llibre, Jaume; de A. S. Menezes, Lucyjane The Markus-Yamabe conjecture does not hold for discontinuous piecewise linear differential systems separated by one straight line. (English) Zbl 1480.34074 J. Dyn. Differ. Equations 33, No. 2, 659-676 (2021). Reviewer: Oleg Anashkin (Simferopol) MSC: 34D23 34A36 34C05 34C07 37G15 PDFBibTeX XMLCite \textit{J. Llibre} and \textit{L. de A. S. Menezes}, J. Dyn. Differ. Equations 33, No. 2, 659--676 (2021; Zbl 1480.34074) Full Text: DOI
Braun, Francisco; Mereu, Ana C. Zero-Hopf bifurcation in a 3D jerk system. (English) Zbl 1472.34070 Nonlinear Anal., Real World Appl. 59, Article ID 103245, 8 p. (2021). Reviewer: Eduard Musafirov (Grodno) MSC: 34C23 34A34 34C07 34C05 34C29 PDFBibTeX XMLCite \textit{F. Braun} and \textit{A. C. Mereu}, Nonlinear Anal., Real World Appl. 59, Article ID 103245, 8 p. (2021; Zbl 1472.34070) Full Text: DOI arXiv
Dung, Le Xuan Castelnuovo-Mumford regularity of associated graded modules of \(k\)-Buchsbaum modules. (English) Zbl 1460.13025 J. Algebra Appl. 20, No. 2, Article ID 2150024, 11 p. (2021). MSC: 13D45 13A30 13D40 13H10 PDFBibTeX XMLCite \textit{L. X. Dung}, J. Algebra Appl. 20, No. 2, Article ID 2150024, 11 p. (2021; Zbl 1460.13025) Full Text: DOI arXiv
Menaceur, Amor; Boulaaras, Salah A number of limit cycle of sextic polynomial differential systems via the averaging theory. (English) Zbl 1474.34236 Bol. Soc. Parana. Mat. (3) 39, No. 4, 181-197 (2021). MSC: 34C07 34C23 34C25 34C29 PDFBibTeX XMLCite \textit{A. Menaceur} and \textit{S. Boulaaras}, Bol. Soc. Parana. Mat. (3) 39, No. 4, 181--197 (2021; Zbl 1474.34236) Full Text: Link
da S. Andrade, Kamila; Cespedes, Oscar A. R.; Cruz, Dayane R.; Novaes, Douglas D. Higher order Melnikov analysis for planar piecewise linear vector fields with nonlinear switching curve. (English) Zbl 1466.34023 J. Differ. Equations 287, 1-36 (2021). MSC: 34A36 34C07 34C23 34C05 PDFBibTeX XMLCite \textit{K. da S. Andrade} et al., J. Differ. Equations 287, 1--36 (2021; Zbl 1466.34023) Full Text: DOI arXiv
Buzzi, Claudio A.; Carvalho, Yagor Romano; Gasull, Armengol Limit cycles for some families of smooth and non-smooth planar systems. (English) Zbl 1470.34091 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 207, Article ID 112298, 13 p. (2021). Reviewer: Alexander Grin (Grodno) MSC: 34C07 34C05 34A36 34C29 34E10 PDFBibTeX XMLCite \textit{C. A. Buzzi} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 207, Article ID 112298, 13 p. (2021; Zbl 1470.34091) Full Text: DOI arXiv
Valls, Clàudia Rational limit cycles on generalized Bernoulli polynomial equations. (English) Zbl 1470.34094 J. Math. Phys. 62, No. 3, Article ID 033501, 12 p. (2021). Reviewer: Alexander Grin (Grodno) MSC: 34C07 34A05 34A34 PDFBibTeX XMLCite \textit{C. Valls}, J. Math. Phys. 62, No. 3, Article ID 033501, 12 p. (2021; Zbl 1470.34094) Full Text: DOI
Yang, Peixing; Yang, Yuan; Yu, Jiang Up to second order Melnikov functions for general piecewise Hamiltonian systems with nonregular separation line. (English) Zbl 1469.34049 J. Differ. Equations 285, 583-606 (2021). Reviewer: Iliya Iliev (Sofia) MSC: 34C07 34C05 34E10 34C23 34A36 37J46 PDFBibTeX XMLCite \textit{P. Yang} et al., J. Differ. Equations 285, 583--606 (2021; Zbl 1469.34049) Full Text: DOI
Li, Feng; Li, Hongwei; Liu, Yuanyuan New double bifurcation of nilpotent focus. (English) Zbl 1467.37048 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 4, Article ID 2150053, 4 p. (2021). Reviewer: Changjin Xu (Guiyang) MSC: 37G10 37G15 34C05 34C07 PDFBibTeX XMLCite \textit{F. Li} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 4, Article ID 2150053, 4 p. (2021; Zbl 1467.37048) Full Text: DOI
Kassa, S.; Llibre, J.; Makhlouf, A. \(N\)-dimensional zero-Hopf bifurcation of polynomial differential systems via averaging theory of second order. (English) Zbl 1477.34062 J. Dyn. Control Syst. 27, No. 2, 283-291 (2021). Reviewer: Lingling Liu (Chengdu) MSC: 34C07 34C05 34C23 34C29 PDFBibTeX XMLCite \textit{S. Kassa} et al., J. Dyn. Control Syst. 27, No. 2, 283--291 (2021; Zbl 1477.34062) Full Text: DOI
Cai, Meilan; Han, Maoan Limit cycle bifurcations in a class of piecewise smooth cubic systems with multiple parameters. (English) Zbl 1465.34036 Commun. Pure Appl. Anal. 20, No. 1, 55-75 (2021). Reviewer: Albert Luo (Edwardsville) MSC: 34C05 34C07 34C23 34A36 PDFBibTeX XMLCite \textit{M. Cai} and \textit{M. Han}, Commun. Pure Appl. Anal. 20, No. 1, 55--75 (2021; Zbl 1465.34036) Full Text: DOI
Beckermann, Bernhard; Putinar, Mihai; Saff, Edward B.; Stylianopoulos, Nikos Perturbations of Christoffel-Darboux kernels: detection of outliers. (English) Zbl 1470.42049 Found. Comput. Math. 21, No. 1, 71-124 (2021). Reviewer: Teresa A. Mesquita (Vila Nova de Famalicão) MSC: 42C05 46E22 30H20 30E05 PDFBibTeX XMLCite \textit{B. Beckermann} et al., Found. Comput. Math. 21, No. 1, 71--124 (2021; Zbl 1470.42049) Full Text: DOI arXiv
Cai, Junning; Wei, Minzhi; Pang, Guoping Sharp bound of the number of zeros for a Liénard system with a heteroclinic loop. (English) Zbl 1465.34043 Discrete Dyn. Nat. Soc. 2021, Article ID 6625657, 9 p. (2021). MSC: 34C08 34C07 37C29 PDFBibTeX XMLCite \textit{J. Cai} et al., Discrete Dyn. Nat. Soc. 2021, Article ID 6625657, 9 p. (2021; Zbl 1465.34043) Full Text: DOI
Xiong, Yanqin; Han, Maoan; Xiao, Dongmei The maximal number of limit cycles bifurcating from a Hamiltonian triangle in quadratic systems. (English) Zbl 1466.34033 J. Differ. Equations 280, 139-178 (2021). Reviewer: Hao Wu (Nanjing) MSC: 34C07 34C05 34C29 34C25 PDFBibTeX XMLCite \textit{Y. Xiong} et al., J. Differ. Equations 280, 139--178 (2021; Zbl 1466.34033) Full Text: DOI
Choie, YoungJu Periods of Hilbert modular forms, Kronecker series and cohomology. (English) Zbl 1470.11104 Adv. Math. 381, Article ID 107617, 17 p. (2021). MSC: 11F41 11F50 11F60 11F67 PDFBibTeX XMLCite \textit{Y. Choie}, Adv. Math. 381, Article ID 107617, 17 p. (2021; Zbl 1470.11104) Full Text: DOI arXiv
Hu, Yifan; Niu, Wei; Huang, Bo Bounding the number of limit cycles for parametric Liénard systems using symbolic computation methods. (English) Zbl 1462.37018 Commun. Nonlinear Sci. Numer. Simul. 96, Article ID 105716, 17 p. (2021). MSC: 37C10 34C07 34C05 PDFBibTeX XMLCite \textit{Y. Hu} et al., Commun. Nonlinear Sci. Numer. Simul. 96, Article ID 105716, 17 p. (2021; Zbl 1462.37018) Full Text: DOI
Kim, Myungho; Koo, Doyun Polynomial invariants on matrices and partition, Brauer algebras. (English) Zbl 1470.13010 J. Algebra 574, 292-315 (2021). MSC: 13A50 20C30 20G05 20G43 05A18 PDFBibTeX XMLCite \textit{M. Kim} and \textit{D. Koo}, J. Algebra 574, 292--315 (2021; Zbl 1470.13010) Full Text: DOI arXiv
Freire, Emilio; Ponce, Enrique; Torregrosa, Joan; Torres, Francisco Limit cycles from a monodromic infinity in planar piecewise linear systems. (English) Zbl 1477.34059 J. Math. Anal. Appl. 496, No. 2, Article ID 124818, 22 p. (2021). Reviewer: Xiang Zhang (Shanghai) MSC: 34C07 34A36 34C05 34C23 34C20 PDFBibTeX XMLCite \textit{E. Freire} et al., J. Math. Anal. Appl. 496, No. 2, Article ID 124818, 22 p. (2021; Zbl 1477.34059) Full Text: DOI arXiv
Gouveia, Márcio R. A.; Llibre, Jaume; Roberto, Luci Any Phase portraits of the quadratic polynomial Liénard differential systems. (English) Zbl 1466.37019 Proc. R. Soc. Edinb., Sect. A, Math. 151, No. 1, 202-216 (2021). Reviewer: Alexander Grin (Grodno) MSC: 37C15 37C29 37G05 34C05 34C07 37G15 70K05 PDFBibTeX XMLCite \textit{M. R. A. Gouveia} et al., Proc. R. Soc. Edinb., Sect. A, Math. 151, No. 1, 202--216 (2021; Zbl 1466.37019) Full Text: DOI Link
Sánchez-Sánchez, Iván; Torregrosa, Joan Criticality via first order development of the period constants. (English) Zbl 1466.34037 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 203, Article ID 112164, 22 p. (2021). Reviewer: Jeidy Johana Jimenez (Goiânia) MSC: 34C23 34C07 34C05 PDFBibTeX XMLCite \textit{I. Sánchez-Sánchez} and \textit{J. Torregrosa}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 203, Article ID 112164, 22 p. (2021; Zbl 1466.34037) Full Text: DOI
García, Belén; Llibre, Jaume; Lombardero, Antón; Pérez del Río, Jesús S. Analytic integrability of quasi-homogeneous systems via the Yoshida method. (English) Zbl 1471.37057 J. Symb. Comput. 104, 960-980 (2021). MSC: 37J35 37J30 34C07 PDFBibTeX XMLCite \textit{B. García} et al., J. Symb. Comput. 104, 960--980 (2021; Zbl 1471.37057) Full Text: DOI
da Silva, Eduardo Brandani; Fernandez, Dicesar L.; de Andrade Neves, Marcus Vinícius A spectral theorem for bilinear compact operators in Hilbert spaces. (English) Zbl 1477.47058 Banach J. Math. Anal. 15, No. 2, Paper No. 28, 36 p. (2021). Reviewer: Daniele Puglisi (Catania) MSC: 47J10 47H60 46G25 PDFBibTeX XMLCite \textit{E. B. da Silva} et al., Banach J. Math. Anal. 15, No. 2, Paper No. 28, 36 p. (2021; Zbl 1477.47058) Full Text: DOI
Bravo, J. L.; Calderón, L. A.; Fernández, M. Upper bounds of limit cycles in Abel differential equations with invariant curves. (English) Zbl 1470.34090 J. Math. Anal. Appl. 494, No. 1, Article ID 124580, 14 p. (2021). Reviewer: Alexander Grin (Grodno) MSC: 34C07 37C15 34C25 37C60 PDFBibTeX XMLCite \textit{J. L. Bravo} et al., J. Math. Anal. Appl. 494, No. 1, Article ID 124580, 14 p. (2021; Zbl 1470.34090) Full Text: DOI arXiv
Chouader, R.; Benyoucef, S.; Bendjeddou, A. Kolmogorov differential systems with algebraic limit cycles. (English) Zbl 1471.34058 Sib. Èlektron. Mat. Izv. 18, No. 1, 1-8 (2021). Reviewer: Klaus R. Schneider (Berlin) MSC: 34C05 34C45 34C07 PDFBibTeX XMLCite \textit{R. Chouader} et al., Sib. Èlektron. Mat. Izv. 18, No. 1, 1--8 (2021; Zbl 1471.34058) Full Text: DOI
Goncharuk, Nataliya; Kudryashov, Yury G.; Solodovnikov, Nikita New structurally unstable families of planar vector fields. (English) Zbl 1460.37021 Nonlinearity 34, No. 1, 438-454 (2021). Reviewer: Valentine Tyshchenko (Grodno) MSC: 37C20 37E35 37G10 37G15 34C07 PDFBibTeX XMLCite \textit{N. Goncharuk} et al., Nonlinearity 34, No. 1, 438--454 (2021; Zbl 1460.37021) Full Text: DOI arXiv
Ferchichi, Mohamed R.; Yousfi, Abla On some properties in the parameter space of a planar discrete dynamical system. (English) Zbl 1459.37039 Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 28, No. 2, 61-76 (2021). MSC: 37G35 37D45 34C07 PDFBibTeX XMLCite \textit{M. R. Ferchichi} and \textit{A. Yousfi}, Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 28, No. 2, 61--76 (2021; Zbl 1459.37039) Full Text: Link
Huan, Song-Mei On the number of limit cycles in general planar piecewise linear differential systems with two zones having two real equilibria. (English) Zbl 1461.34027 Qual. Theory Dyn. Syst. 20, No. 1, Paper No. 4, 31 p. (2021). Reviewer: Jeidy Johana Jimenez (Goiânia) MSC: 34A36 34C07 PDFBibTeX XMLCite \textit{S.-M. Huan}, Qual. Theory Dyn. Syst. 20, No. 1, Paper No. 4, 31 p. (2021; Zbl 1461.34027) Full Text: DOI
Sun, Xianbo; Wang, Na; Yu, Pei The monotonicity of ratios of some abelian integrals. (English) Zbl 1479.34062 Bull. Sci. Math. 166, Article ID 102934, 13 p. (2021). Reviewer: Xiuli Cen (Zhuhai) MSC: 34C08 34C05 34C07 PDFBibTeX XMLCite \textit{X. Sun} et al., Bull. Sci. Math. 166, Article ID 102934, 13 p. (2021; Zbl 1479.34062) Full Text: DOI
Françoise, Jean-Pierre; He, Hongjin; Xiao, Dongmei The number of limit cycles bifurcating from the period annulus of quasi-homogeneous Hamiltonian systems at any order. (English) Zbl 1465.34042 J. Differ. Equations 276, 318-341 (2021). Reviewer: Yanqin Xiong (Nanjing) MSC: 34C07 34C05 34C23 37G15 34C08 37J40 PDFBibTeX XMLCite \textit{J.-P. Françoise} et al., J. Differ. Equations 276, 318--341 (2021; Zbl 1465.34042) Full Text: DOI HAL
Yu, Pei; Han, Maoan; Zhang, Xiang Eighteen limit cycles around two symmetric foci in a cubic planar switching polynomial system. (English) Zbl 1482.34099 J. Differ. Equations 275, 939-959 (2021). Reviewer: Alexander Rudenok (Minsk) MSC: 34C07 34A36 34C14 34C05 PDFBibTeX XMLCite \textit{P. Yu} et al., J. Differ. Equations 275, 939--959 (2021; Zbl 1482.34099) Full Text: DOI