Huang, Wen Tao; Wang, Qin Long; Du, Chao Xiong The isochronous center on center manifolds for three dimensional differential systems. (Chinese. English summary) Zbl 07974348 Acta Math. Sin., Chin. Ser. 67, No. 5, 995-1008 (2024). MSC: 34C05 34C07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yang, Jihua On the number of limit cycles for a perturbed cubic reversible Hamiltonian system. (English) Zbl 07967447 Chaos 34, No. 10, Article ID 103122, 9 p. (2024). MSC: 37-XX 34-XX × Cite Format Result Cite Review PDF Full Text: DOI
Dong, Guangfeng; Llibre, Jaume The uniform isochronous centers with homogeneous nonlinearities of degree 6. (English) Zbl 07923985 J. Dyn. Control Syst. 30, No. 3, Paper No. 34, 23 p. (2024). MSC: 34C05 37C15 34A05 × Cite Format Result Cite Review PDF Full Text: DOI
Braun, Francisco; da Cruz, Leonardo Pereira Costa; Torregrosa, Joan On the number of limit cycles in piecewise planar quadratic differential systems. (English) Zbl 07885659 Nonlinear Anal., Real World Appl. 79, Article ID 104124, 15 p. (2024). Reviewer: Hongwei Shi (Zhuhai) MSC: 34C07 34A36 34C05 34C29 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Yingtao; Shi, Shaowen; Zhang, Jun Isochronous global center of linear plus homogeneous polynomial systems and cubic systems. (English) Zbl 1544.34039 J. Differ. Equations 396, 147-171 (2024). Reviewer: Wilker Fernandes (São João del-Rei) MSC: 34C05 34C25 34D06 34D23 × Cite Format Result Cite Review PDF Full Text: DOI
Alves, Giovana; Natali, Fábio Monotonicity of the period map for the equation \(-\varphi'' + \varphi - \varphi^k = 0\). (English) Zbl 1546.34089 Monatsh. Math. 204, No. 1, 1-14 (2024). Reviewer: Eduardo Muñoz-Hernández (Madrid) MSC: 34C25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Hailing; Li, Junhua; Li, Zuxiong; Chu, Zhusong; Chen, Zhang; Lin, Yezhi The quantitative analysis of homoclinic orbits from quadratic isochronous systems. (English) Zbl 1517.34061 Commun. Nonlinear Sci. Numer. Simul. 121, Article ID 107199, 16 p. (2023). MSC: 34C37 34C05 34A45 34E10 34C23 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Feng; Wu, Yusen; Yu, Pei Complete classification on center of cubic planar systems symmetric with respect to a straight line. (English) Zbl 1519.34027 Commun. Nonlinear Sci. Numer. Simul. 120, Article ID 107167, 17 p. (2023). Reviewer: Joan C. Artés (Barcelona) MSC: 34C05 34C14 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Wentao; Gu, Jieping; Wang, Qinlong; Zegeling, André Bifurcation of limit cycles and isochronous centers on center manifolds for four-dimensional systems. (English) Zbl 1531.34045 Math. Methods Appl. Sci. 45, No. 4, 2151-2165 (2022). Reviewer: Yanqin Xiong (Nanjing) MSC: 34C05 34C23 34C45 34C07 34C25 × Cite Format Result Cite Review PDF Full Text: DOI
Fernandes, Wilker; Valério, Viviane Pardini; Tempesta, Patricia Isochronicity of bi-centers for symmetric quartic differential systems. (English) Zbl 1510.34048 Discrete Contin. Dyn. Syst., Ser. B 27, No. 7, 3991-4006 (2022). Reviewer: Hongwei Shi (Zhuhai) MSC: 34C05 34C14 34C20 34C25 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI Link
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 1537.34050 Commun. Pure Appl. Anal. 21, No. 5, 1793-1809 (2022). MSC: 34C07 34A36 34C05 34C23 34E10 × Cite Format Result Cite Review PDF Full Text: DOI
Llibre, Jaume; Valls, Claudia Phase portraits of uniform isochronous centers with homogeneous nonlinearities. (English) Zbl 1498.34089 J. Dyn. Control Syst. 28, No. 2, 319-332 (2022). Reviewer: Valentine Tyshchenko (Grodno) MSC: 34C05 34C25 34A05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Liu, Changjian; Wang, Shaoqing On the isochronous center of planar piecewise polynomial potential systems. (English) Zbl 1500.34017 Proc. Am. Math. Soc. 150, No. 6, 2499-2507 (2022). MSC: 34A36 34C05 × Cite Format Result Cite Review PDF Full Text: DOI
Ghermoul, Bilal; Llibre, Jaume; Salhi, Tayeb Limit cycles of continuous piecewise differential systems formed by linear and quadratic isochronous centers I. (English) Zbl 1497.34056 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 1, Article ID 2250003, 28 p. (2022). Reviewer: Qinlong Wang (Guilin) MSC: 34C05 34A36 34A05 34C07 34C23 × Cite Format Result Cite Review PDF Full Text: DOI Link
Arcet, Barbara; Giné, Jaume; Romanovski, Valery G. Linearizability of planar polynomial Hamiltonian systems. (English) Zbl 1490.34046 Nonlinear Anal., Real World Appl. 63, Article ID 103422, 19 p. (2022). Reviewer: Xingwu Chen (Chengdu) MSC: 34C20 37J35 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Tao; Llibre, Jaume Phase portraits of separable quadratic systems and a bibliographical survey on quadratic systems. (English) Zbl 1487.34001 Expo. Math. 39, No. 4, 540-565 (2021). Reviewer: Joan C. Artés (Barcelona) MSC: 34-02 34-00 34C05 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Shi, Hua; Zhang, Xiang; Zhang, Yuyan Complex planar Hamiltonian systems: linearization and dynamics. (English) Zbl 1478.37061 Discrete Contin. Dyn. Syst. 41, No. 7, 3295-3317 (2021). Reviewer: Jie Liu (Jiaozuo) MSC: 37J38 37J46 37J35 37J40 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Jianfeng; Peng, Zhixiang Bifurcation of a kind of piecewise smooth generalized Abel equation via first and second order analyses. (English) Zbl 1465.34053 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 16, Article ID 2050247, 20 p. (2020). Reviewer: Yun Tian (Shanghai) MSC: 34C23 34A36 34C05 34C07 37C60 34E10 × Cite Format Result Cite Review PDF Full Text: DOI
Xiong, Yanqin; Cheng, Rong; Li, Na Limit cycle bifurcations in perturbations of a reversible quadratic system with a non-rational first integral. (English) Zbl 1461.34063 Qual. Theory Dyn. Syst. 19, No. 3, Paper No. 97, 28 p. (2020). Reviewer: Jihua Yang (Guyuan) MSC: 34C23 34C05 34E10 34C07 34A36 34A05 × Cite Format Result Cite Review PDF Full Text: DOI
Iacono, Roberto Comment on “Classification of Lie point symmetries for quadratic Liénard type equation \(\ddot x + f(x) \dot x^2 + g(x) = 0\)”. (English) Zbl 1447.34039 J. Math. Phys. 61, No. 4, 044101, 3 p. (2020). MSC: 34C14 34A34 34C20 34A05 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Jihua Picard-Fuchs equation applied to quadratic isochronous systems with two switching lines. (English) Zbl 1445.34041 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 3, Article ID 2050042, 17 p. (2020). MSC: 34A36 34C05 34C07 34C23 34E10 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Feng; Liu, Yirong; Liu, Yuanyuan; Yu, Pei Complex isochronous centers and linearization transformations for cubic \(Z_2\)-equivariant planar systems. (English) Zbl 1511.34041 J. Differ. Equations 268, No. 7, 3819-3847 (2020). MSC: 34C05 34C14 34C20 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Bo; Yap, Chee An algorithmic approach to limit cycles of nonlinear differential systems. The averaging method revisited. (English) Zbl 1467.34036 Bradford, Russell (ed.), Proceedings of the 44th international symposium on symbolic and algebraic computation, ISSAC ’19, Beijing, China, July 15–18, 2019. New York, NY: Association for Computing Machinery (ACM). 211-218 (2019). MSC: 34C07 34C29 68W30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xiong, Yanqin; Hu, Jianqiang A class of reversible quadratic systems with piecewise polynomial perturbations. (English) Zbl 1433.34049 Appl. Math. Comput. 362, Article ID 124527, 17 p. (2019). MSC: 34C07 34C05 34C23 37G15 × Cite Format Result Cite Review PDF Full Text: DOI
Dong, Guangfeng; Liu, Changjian; Yang, Jiazhong On the topology of isochronous centers of Hamiltonian differential systems. (English) Zbl 1419.37054 Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 6, Article ID 1950099, 8 p. (2019). MSC: 37J35 34C05 × Cite Format Result Cite Review PDF Full Text: DOI
Rojas, David On the upper bound of the criticality of potential systems at the outer boundary using the Roussarie-Ecalle compensator. (English) Zbl 1425.34050 J. Differ. Equations 267, No. 6, 3922-3951 (2019). Reviewer: Guy Katriel (Haifa) MSC: 34C07 34C23 34C25 34C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cresson, Jacky; Palafox, Jordy Isochronous centers of polynomial Hamiltonian systems and a conjecture of Jarque and Villadelprat. (English) Zbl 1408.37094 J. Differ. Equations 266, No. 9, 5713-5747 (2019). MSC: 37J25 34C07 34D20 34C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Buică, Adriana; Giné, Jaume; Grau, Maite On the critical points of the flight return time function of perturbed closed orbits. (English) Zbl 1433.34058 J. Differ. Equations 266, No. 12, 8344-8369 (2019). Reviewer: Armengol Gasull (Barcelona) MSC: 34C23 34C05 34C25 34C07 34E10 × Cite Format Result Cite Review PDF Full Text: DOI
da Cruz, Leonardo P. C.; Novaes, Douglas D.; Torregrosa, Joan New lower bound for the Hilbert number in piecewise quadratic differential systems. (English) Zbl 1435.37075 J. Differ. Equations 266, No. 7, 4170-4203 (2019). Reviewer: Hanying Feng (Shijiazhuang) MSC: 37G15 37C27 37G10 34C07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Llibre, Jaume; Ramirez, Rafael; Ramirez, Valentin Center problem for generalized \(\Lambda\)-\(\Omega\) differential systems. (English) Zbl 1412.34112 Electron. J. Differ. Equ. 2018, Paper No. 184, 23 p. (2018). MSC: 34C05 34C07 34C25 34A05 × Cite Format Result Cite Review PDF Full Text: Link
Mañosas, F.; Rojas, D.; Villadelprat, J. Analytic tools to bound the criticality at the outer boundary of the period annulus. (English) Zbl 1444.34055 J. Dyn. Differ. Equations 30, No. 3, 883-909 (2018). MSC: 34C05 34C07 34C23 34C25 × Cite Format Result Cite Review PDF Full Text: DOI Link
Cen, Xiuli; Liu, Changjian; Yang, Lijun; Zhang, Meirong Limit cycles by perturbing quadratic isochronous centers inside piecewise polynomial differential systems. (English) Zbl 1444.34032 J. Differ. Equations 265, No. 12, 6083-6126 (2018). MSC: 34A36 34C07 34C23 34C25 34E10 34C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fernandes, Wilker; Oliveira, Regilene; Romanovski, Valery G. Isochronicity of a \(\mathbb{Z}_2\)-equivariant quintic system. (English) Zbl 1410.34092 J. Math. Anal. Appl. 467, No. 2, 874-892 (2018). Reviewer: Marco Spadini (Firenze) MSC: 34C05 34C25 34C07 34C14 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Jihua; Zhao, Liqin Bounding the number of limit cycles of discontinuous differential systems by using Picard-Fuchs equations. (English) Zbl 1390.34082 J. Differ. Equations 264, No. 9, 5734-5757 (2018). Reviewer: Maite Grau (Lleida) MSC: 34C05 34A36 34E10 34C23 × Cite Format Result Cite Review PDF Full Text: DOI
Ghose-Choudhury, A.; Guha, Partha Monotonicity of the period function of the Liénard equation of second kind. (English) Zbl 1402.34043 Qual. Theory Dyn. Syst. 16, No. 3, 609-621 (2017). Reviewer: Klaus R. Schneider (Berlin) MSC: 34C25 34C14 34C20 37J45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Romanovski, Valery G.; Fernandes, Wilker; Tang, Yilei; Tian, Yun Linearizability and critical period bifurcations of a generalized Riccati system. (English) Zbl 1390.70056 Nonlinear Dyn. 90, No. 1, 257-269 (2017). MSC: 70K42 93B18 70K50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
García, Isaac A.; Hernández-Bermejo, Benito Inverse Jacobi multiplier as a link between conservative systems and Poisson structures. (English) Zbl 1377.37079 J. Phys. A, Math. Theor. 50, No. 32, Article ID 325204, 17 p. (2017). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 37J05 53D17 70H05 37J35 70H33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Mañosas, F.; Rojas, D.; Villadelprat, J. Study of the period function of a two-parameter family of centers. (English) Zbl 1372.34074 J. Math. Anal. Appl. 452, No. 1, 188-208 (2017). Reviewer: Majid Gazor (Isfahan) MSC: 34C23 34C05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Romanovski, Valery G.; Fernandes, Wilker; Oliveira, Regilene Bi-center problem for some classes of \(\mathbb{Z}_2\)-equivariant systems. (English) Zbl 1373.34053 J. Comput. Appl. Math. 320, 61-75 (2017). Reviewer: Douglas S. Shafer (Charlotte) MSC: 34C15 34D20 82C22 × Cite Format Result Cite Review PDF Full Text: DOI
Itikawa, Jackson; Llibre, Jaume; Mereu, Ana Cristina; Oliveira, Regilene Limit cycles in uniform isochronous centers of discontinuous differential systems with four zones. (English) Zbl 1371.34029 Discrete Contin. Dyn. Syst., Ser. B 22, No. 9, 3259-3272 (2017). Reviewer: Douglas S. Shafer (Charlotte) MSC: 34A36 34C07 34C25 34C29 37G15 34C23 × Cite Format Result Cite Review PDF Full Text: DOI
Gomide, Otávio M. L.; Martins, Ricardo M. Limit cycles for quadratic and cubic planar differential equations under polynomial perturbations of small degree. (English) Zbl 1362.34050 Discrete Contin. Dyn. Syst. 37, No. 6, 3353-3386 (2017). Reviewer: M. A. M. Alwash (Culver City) MSC: 34C07 34C23 34C29 34C05 × Cite Format Result Cite Review PDF Full Text: DOI
Fernandes, Wilker; Romanovski, Valery G.; Sultanova, Marzhan; Tang, Yilei Isochronicity and linearizability of a planar cubic system. (English) Zbl 1365.34062 J. Math. Anal. Appl. 450, No. 1, 795-813 (2017). Reviewer: Douglas S. Shafer (Charlotte) MSC: 34C07 34M99 34C05 34C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cen, Xiuli; Li, Shimin; Zhao, Yulin On the number of limit cycles for a class of discontinuous quadratic differential systems. (English) Zbl 1360.34073 J. Math. Anal. Appl. 449, No. 1, 314-342 (2017). Reviewer: Maite Grau (Lleida) MSC: 34C07 34A36 34C29 34C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bo, Xuekang; Tian, Yun Limit cycles for a class of piecewise smooth quadratic differential systems with multiple parameters. (English) Zbl 1352.34041 Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 10, Article ID 1650171, 11 p. (2016). MSC: 34C05 34C23 34A36 34E10 × Cite Format Result Cite Review PDF Full Text: DOI
Mañosas, F.; Rojas, D.; Villadelprat, J. The criticality of centers of potential systems at the outer boundary. (English) Zbl 1334.34076 J. Differ. Equations 260, No. 6, 4918-4972 (2016). Reviewer: Douglas S. Shafer (Charlotte) MSC: 34C07 34C23 34C25 34C05 × Cite Format Result Cite Review PDF Full Text: DOI
Itikawa, Jackson; Llibre, Jaume Global phase portraits of uniform isochronous centers with quartic homogeneous polynomial nonlinearities. (English) Zbl 1334.34069 Discrete Contin. Dyn. Syst., Ser. B 21, No. 1, 121-131 (2016). Reviewer: A. P. Sadovskii (Minsk) MSC: 34C05 34C25 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Feng Limit cycles for discontinuous quadratic differential switching systems. (English) Zbl 1422.34121 Adv. Difference Equ. 2015, Paper No. 222, 8 p. (2015). MSC: 34C05 34C07 × Cite Format Result Cite Review PDF Full Text: DOI
Kudryashov, Nikolay A.; Sinelshchikov, Dmitry I. On the connection of the quadratic Liénard equation with an equation for the elliptic functions. (English) Zbl 1383.34003 Regul. Chaotic Dyn. 20, No. 4, 486-496 (2015). Reviewer: Klaus R. Schneider (Berlin) MSC: 34A05 34A34 33E05 × Cite Format Result Cite Review PDF Full Text: DOI
Miranda Martins, Ricardo; Mereu, Ana Cristina; Oliveira, Regilene D. S. An estimation for the number of limit cycles in a Liénard-like perturbation of a quadratic nonlinear center. (English) Zbl 1331.34045 Nonlinear Dyn. 79, No. 1, 185-194 (2015). MSC: 34C07 34C14 34C20 37J15 37J40 × Cite Format Result Cite Review PDF Full Text: DOI
Llibre, Jaume; Romanovski, Valery G. Isochronicity and linearizability of planar polynomial Hamiltonian systems. (English) Zbl 1347.37103 J. Differ. Equations 259, No. 5, 1649-1662 (2015). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37J20 37G15 34C23 34M03 × Cite Format Result Cite Review PDF Full Text: DOI
Xiong, Yanqin Limit cycle bifurcations by perturbing piecewise smooth Hamiltonian systems with multiple parameters. (English) Zbl 1405.34026 J. Math. Anal. Appl. 421, No. 1, 260-275 (2015). MSC: 34C05 34C23 34E10 34A35 × Cite Format Result Cite Review PDF Full Text: DOI
Du, Chaoxiong The problem of bicenter and isochronicity for a class of quasi symmetric planar systems. (English) Zbl 1470.34084 Abstr. Appl. Anal. 2014, Article ID 482450, 11 p. (2014). MSC: 34C05 × Cite Format Result Cite Review PDF Full Text: DOI
Prohens, R.; Torregrosa, J. Periodic orbits from second order perturbation via rational trigonometric integrals. (English) Zbl 1349.34229 Physica D 280-281, 59-72 (2014). MSC: 34E10 34C23 37C27 × Cite Format Result Cite Review PDF Full Text: DOI Link
Llibre, Jaume; Mereu, Ana C. Limit cycles for discontinuous quadratic differential systems with two zones. (English) Zbl 1318.34049 J. Math. Anal. Appl. 413, No. 2, 763-775 (2014). Reviewer: Douglas S. Shafer (Charlotte) MSC: 34C05 34C23 34A36 34C29 × Cite Format Result Cite Review PDF Full Text: DOI Link
Artés, Joan C.; Llibre, Jaume; Schlomiuk, Dana; Vulpe, Nicolae Global configurations of singularities for quadratic differential systems with total finite multiplicity three and at most two real singularities. (English) Zbl 1306.32024 Qual. Theory Dyn. Syst. 13, No. 2, 305-351 (2014). MSC: 32S65 34C05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Llibre, Jaume; Lopes, Bruno D.; De Moraes, Jaime R. Limit cycles for a class of continuous and discontinuous cubic polynomial differential systems. (English) Zbl 1317.34040 Qual. Theory Dyn. Syst. 13, No. 1, 129-148 (2014). Reviewer: Valery Romanovski (Maribor) MSC: 34C07 34A36 34C25 34C29 × Cite Format Result Cite Review PDF Full Text: DOI Link
Liu, Chao; Han, Maoan Bifurcation of critical periods from the reversible rigidly isochronous centers. (English) Zbl 1309.34067 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 95, 388-403 (2014). Reviewer: Armengol Gasull (Barcelona) MSC: 34C23 34C25 37C27 34C05 × Cite Format Result Cite Review PDF Full Text: DOI
Hongwei, Li; Feng, Li; Chaoxiong, Du Limit cycles and isochronous centers in a class of ninth degree system. (English) Zbl 1470.34086 Abstr. Appl. Anal. 2013, Article ID 762751, 8 p. (2013). MSC: 34C05 34C07 × Cite Format Result Cite Review PDF Full Text: DOI
Zhou, Jiamei; Li, Na; Han, Maoan Critical periods of perturbations of reversible rigidly isochronous centers. (English) Zbl 1296.34080 Abstr. Appl. Anal. 2013, Article ID 481501, 12 p. (2013). MSC: 34C07 34C14 34C23 × Cite Format Result Cite Review PDF Full Text: DOI
Giné, Jaume On the first integrals in the center problem. (English) Zbl 1297.34044 Bull. Sci. Math. 137, No. 4, 457-465 (2013). Reviewer: A. P. Sadovskii (Minsk) MSC: 34C05 34C25 34A05 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Yusen; Liu, Luju Bifurcation of limit cycles and pseudo-isochronicity at infinity in a septic polynomial vector field. (English) Zbl 1280.34036 Qual. Theory Dyn. Syst. 11, No. 2, 417-433 (2012). Reviewer: A. P. Sadovskii (Minsk) MSC: 34C05 34C07 34C23 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Yusen; Zhang, Cui Bifurcation of limit cycles and pseudo-isochronous center at degenerate singular point in a septic system. (English) Zbl 1255.34032 Appl. Math. Comput. 218, No. 17, 8513-8525 (2012). Reviewer: Alexander Grin (Grodno) MSC: 34C05 34C23 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Yusen; Zhang, Cui; Liu, Luju Linearizability problem of resonant degenerate singular point for polynomial differential systems. (English) Zbl 1248.34047 J. Appl. Math. 2012, Article ID 383282, 19 p. (2012). MSC: 34C20 34C05 × Cite Format Result Cite Review PDF Full Text: DOI
Feng, Li; Yirong, Liu Classification of the centers and isochronicity for a class of quartic polynomial differential systems. (English) Zbl 1250.34024 Commun. Nonlinear Sci. Numer. Simul. 17, No. 6, 2270-2291 (2012). Reviewer: Douglas S. Shafer (Charlotte) MSC: 34C05 34C25 × Cite Format Result Cite Review PDF Full Text: DOI
Han, Maoan; Romanovski, Valery G. Isochronicity and normal forms of polynomial systems of ODEs. (English) Zbl 1248.34046 J. Symb. Comput. 47, No. 10, 1163-1174 (2012). MSC: 34C20 34C05 34C25 34-04 × Cite Format Result Cite Review PDF Full Text: DOI
Villadelprat, J. Bifurcation of local critical periods in the generalized Loud’s system. (English) Zbl 1262.34040 Appl. Math. Comput. 218, No. 12, 6803-6813 (2012). Reviewer: A. P. Sadovskii (Minsk) MSC: 34C23 34C05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Li, Feng; Wu, Yusen Integrability and pseudo-linearizable conditions in a quasi-analytic system. (English) Zbl 1244.34046 Abstr. Appl. Anal. 2012, Article ID 783546, 24 p. (2012). MSC: 34C05 34C20 34A05 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Xingwu; Zhang, Weinian Isochronicity of centers in a switching Bautin system. (English) Zbl 1247.34062 J. Differ. Equations 252, No. 3, 2877-2899 (2012). Reviewer: A. P. Sadovskii (Minsk) MSC: 34C25 34C05 34A36 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Xingwu; Romanovski, Valery G.; Zhang, Weinian Critical periods of perturbations of reversible rigidly isochronous centers. (English) Zbl 1237.34078 J. Differ. Equations 251, No. 6, 1505-1525 (2011). Reviewer: Armengol Gasull (Barcelona) MSC: 34C25 34C23 37C27 × Cite Format Result Cite Review PDF Full Text: DOI
Giné, Jaume; Kadyrsizova, Zhibek; Liu, Yirong; Romanovski, Valery G. Linearizability conditions for Lotka-Volterra planar complex quartic systems having homogeneous nonlinearities. (English) Zbl 1217.34058 Comput. Math. Appl. 61, No. 4, 1190-1201 (2011). MSC: 34C20 34C05 37G05 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Xingwu; Huang, Wentao; Romanovski, Valery G.; Zhang, Weinian Linearizability conditions of a time-reversible quartic-like system. (English) Zbl 1226.34041 J. Math. Anal. Appl. 383, No. 1, 179-189 (2011). Reviewer: Josef Hainzl (Freiburg) MSC: 34C20 34C05 34C14 × Cite Format Result Cite Review PDF Full Text: DOI
Guillamon, Antoni; Pantazi, Chara Phase portraits of separable Hamiltonian systems. (English) Zbl 1223.37066 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 12, 4012-4035 (2011). Reviewer: Igor Andrianov (Köln) MSC: 37J20 34C14 34C15 × Cite Format Result Cite Review PDF Full Text: DOI Link
Wu, Yusen; Huang, Wentao; Dai, Hongshuai Isochronicity at infinity into a class of rational differential system. (English) Zbl 1225.34040 Qual. Theory Dyn. Syst. 10, No. 1, 123-138 (2011). Reviewer: A. P. Sadovskii (Minsk) MSC: 34C05 × Cite Format Result Cite Review PDF Full Text: DOI
Boussaada, Islam; Chouikha, A. Raouf; Strelcyn, Jean-Marie Isochronicity conditions for some planar polynomial systems. (English) Zbl 1220.34047 Bull. Sci. Math. 135, No. 1, 89-112 (2011). Reviewer: Valery Romanovski (Maribor) MSC: 34C05 34C25 34C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Pearson, Jane M.; Lloyd, Noel G. Kukles revisited: Advances in computing techniques. (English) Zbl 1207.68449 Comput. Math. Appl. 60, No. 10, 2797-2805 (2010). MSC: 68W30 34C05 × Cite Format Result Cite Review PDF Full Text: DOI
Llibre, Jaume; Valls, Clàudia Centers and isochronous centers for two classes of generalized seventh and ninth systems. (English) Zbl 1222.34032 J. Dyn. Differ. Equations 22, No. 4, 657-675 (2010). Reviewer: Armengol Gasull (Barcelona) MSC: 34C05 34C25 37C27 × Cite Format Result Cite Review PDF Full Text: DOI Link
Li, Chengzhi; Llibre, Jaume Quadratic perturbations of a quadratic reversible Lotka-Volterra system. (English) Zbl 1213.34071 Qual. Theory Dyn. Syst. 9, No. 1-2, 235-249 (2010). Reviewer: Gheorghe Tigan (Timisoara) MSC: 34E10 34C07 34C08 34C05 34C23 34C14 × Cite Format Result Cite Review PDF Full Text: DOI Link
Wang, Qin Long; Liu, Yi Rong Generalized isochronous centers for complex systems. (English) Zbl 1214.34026 Acta Math. Sin., Engl. Ser. 26, No. 9, 1779-1792 (2010). Reviewer: M. A. M. Alwash (Culver City) MSC: 34C07 34C05 × Cite Format Result Cite Review PDF Full Text: DOI
Du, Chaoxiong; Mi, Heilong; Liu, Yirong Center, limit cycles and isochronous center of a \(Z_{4}\)-equivariant quintic system. (English) Zbl 1214.34025 Acta Math. Sin., Engl. Ser. 26, No. 6, 1183-1196 (2010). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C05 37G15 34C07 34C23 34C14 37G40 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Yusen; Huang, Wentao Isochronicity at infinity for a class of polynomial differential system. (English) Zbl 1217.34049 J. Appl. Math. Comput. 34, No. 1-2, 251-271 (2010). Reviewer: A. P. Sadovskii (Minsk) MSC: 34C05 34C07 34C25 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Zhaoxia; Chen, Xingwu; Zhang, Weinian Non-isochronicity of the center in polynomial Hamiltonian systems. (English) Zbl 1211.34040 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 1, 228-243 (2010). Reviewer: Valery Romanovski (Maribor) MSC: 34C05 37J45 34C25 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Yusen; Zhang, Cui; Li, Peiluan Isochronicity problem of a higher-order singular point for polynomial differential systems. (English) Zbl 1198.34048 Acta Appl. Math. 110, No. 3, 1429-1448 (2010). Reviewer: Alexander Grin (Grodno) MSC: 34C05 34C07 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Yusen; Zhang, Cui Bifurcation of limit cycles and pseudo-isochronicity at degenerate singular point in a septic system. (English) Zbl 1200.34045 Result. Math. 57, No. 1-2, 97-119 (2010). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C23 34C05 34C07 37G15 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Kuilin; Zhao, Yulin Isochronicity for a class of reversible systems. (English) Zbl 1195.34065 J. Math. Anal. Appl. 365, No. 1, 300-307 (2010). Reviewer: Alexey Remizov (Trieste) MSC: 34C25 34C07 34C14 34C05 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Xingwu; Romanovski, Valery G. Linearizability conditions of time-reversible cubic systems. (English) Zbl 1192.34037 J. Math. Anal. Appl. 362, No. 2, 438-449 (2010). Reviewer: A. P. Sadovskii (Minsk) MSC: 34C05 34C20 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Yusen; Li, Peiluan Pseudo-isochronicity in a class of septic differential systems. (English) Zbl 1189.34066 Comput. Math. Appl. 58, No. 10, 2069-2080 (2009). MSC: 34C05 34C07 × Cite Format Result Cite Review PDF Full Text: DOI
Bayat, M.; Mehri, B. A necessary condition for the existence of periodic solutions of certain three dimensional autonomous systems. (English) Zbl 1173.34327 Appl. Math. Lett. 22, No. 8, 1292-1296 (2009). MSC: 34C25 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Xingwu; Zhang, Weinian Decomposition of algebraic sets and applications to weak centers of cubic systems. (English) Zbl 1178.13015 J. Comput. Appl. Math. 232, No. 2, 565-581 (2009). Reviewer: Manuel Avelino Insua Hermo (Santiago de Compostela) MSC: 13P15 13P10 × Cite Format Result Cite Review PDF Full Text: DOI
Llibre, Jaume; Valls, Clàudia Classification of the centers and isochronous centers for a class of quartic-like systems. (English) Zbl 1201.34051 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 7-8, 3119-3128 (2009). Reviewer: Liqin Zhao (Beijing) MSC: 34C05 × Cite Format Result Cite Review PDF Full Text: DOI
Llibre, Jaume; Valls, Clàudia Classification of the centers, their cyclicity and isochronicity for the generalized quadratic polynomial differential systems. (English) Zbl 1190.34033 J. Math. Anal. Appl. 357, No. 2, 427-437 (2009). Reviewer: A. P. Sadovskii (Minsk) MSC: 34C05 34C23 × Cite Format Result Cite Review PDF Full Text: DOI
Algaba, A.; Reyes, M. Characterizing isochronous points and computing isochronous sections. (English) Zbl 1208.34034 J. Math. Anal. Appl. 355, No. 2, 564-576 (2009). MSC: 34C05 × Cite Format Result Cite Review PDF Full Text: DOI
Al-Dosary, Khalil I. T. Period function monotonicity of planar vector fields. (English) Zbl 1165.34015 J. Comput. Appl. Math. 224, No. 1, 405-414 (2009). Reviewer: Alexander Grin (Grodno) MSC: 34C05 34C25 34C07 × Cite Format Result Cite Review PDF Full Text: DOI
Du, Chaoxiong; Liu, Yirong; Mi, Heilong A class of ninth degree system with four isochronous centers. (English) Zbl 1165.34338 Comput. Math. Appl. 56, No. 10, 2609-2620 (2008). MSC: 34C07 34C05 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Xingwu; Romanovski, Valery G.; Zhang, Weinian Linearizability conditions of time-reversible quartic systems having homogeneous nonlinearities. (English) Zbl 1159.34025 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 5-6, 1525-1539 (2008). Reviewer: Douglas S. Shafer (Charlotte) MSC: 34C05 34C07 34C20 × Cite Format Result Cite Review PDF Full Text: DOI
Gasull, A.; Zhao, Y. Bifurcation of critical periods from the rigid quadratic isochronous vector field. (English) Zbl 1160.34035 Bull. Sci. Math. 132, No. 4, 292-312 (2008). Reviewer: Maite Grau (Lleida) MSC: 34C23 34C05 34C07 × Cite Format Result Cite Review PDF Full Text: DOI
Villadelprat, J. The period function of the generalized Lotka-Volterra centers. (English) Zbl 1147.34034 J. Math. Anal. Appl. 341, No. 2, 834-854 (2008). Reviewer: Armengol Gasull (Barcelona) MSC: 34C25 34C23 37C27 34C05 × Cite Format Result Cite Review PDF Full Text: DOI Link