Treschev, D. V. On isochronicity. (English. Russian original) Zbl 07781674 Proc. Steklov Inst. Math. 322, 198-223 (2023); translation from Tr. Mat. Inst. Steklova 322, 206-232 (2023). MSC: 70H12 37J46 PDFBibTeX XMLCite \textit{D. V. Treschev}, Proc. Steklov Inst. Math. 322, 198--223 (2023; Zbl 07781674); translation from Tr. Mat. Inst. Steklova 322, 206--232 (2023) Full Text: DOI
Bolotin, Sergey V.; Treschev, Dmitry V. Quasiperiodic version of Gordon’s theorem. (English) Zbl 1522.37072 Regul. Chaotic Dyn. 28, No. 1, 5-13 (2023). MSC: 37J46 37J40 37J35 37J51 70H08 70H33 70H30 PDFBibTeX XMLCite \textit{S. V. Bolotin} and \textit{D. V. Treschev}, Regul. Chaotic Dyn. 28, No. 1, 5--13 (2023; Zbl 1522.37072) 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 PDFBibTeX XMLCite \textit{W. Fernandes} et al., Discrete Contin. Dyn. Syst., Ser. B 27, No. 7, 3991--4006 (2022; Zbl 1510.34048) Full Text: DOI
Novaes, Douglas D.; Silva, Leandro A. On the non-existence of isochronous tangential centers in Filippov vector fields. (English) Zbl 1511.34042 Proc. Am. Math. Soc. 150, No. 12, 5349-5358 (2022). Reviewer: Weinian Zhang (Chengdu) MSC: 34C05 34A36 PDFBibTeX XMLCite \textit{D. D. Novaes} and \textit{L. A. Silva}, Proc. Am. Math. Soc. 150, No. 12, 5349--5358 (2022; Zbl 1511.34042) Full Text: DOI arXiv
Treschev, Dmitry V. Isochronicity in 1 DOF. (English) Zbl 1484.34099 Regul. Chaotic Dyn. 27, No. 2, 123-131 (2022). MSC: 34C20 37J35 PDFBibTeX XMLCite \textit{D. V. Treschev}, Regul. Chaotic Dyn. 27, No. 2, 123--131 (2022; Zbl 1484.34099) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{B. Arcet} et al., Nonlinear Anal., Real World Appl. 63, Article ID 103422, 19 p. (2022; Zbl 1490.34046) Full Text: DOI
Li, Yongjun; Romanovski, Valery G. Isochronous solutions of a 3-dim symmetric quadratic system. (English) Zbl 1510.34092 Appl. Math. Comput. 405, Article ID 126250, 12 p. (2021). MSC: 34C45 34C25 37C27 PDFBibTeX XMLCite \textit{Y. Li} and \textit{V. G. Romanovski}, Appl. Math. Comput. 405, Article ID 126250, 12 p. (2021; Zbl 1510.34092) Full Text: DOI
Ortega, Rafael; Rojas, David A proof of Bertrand’s theorem using the theory of isochronous potentials. (English) Zbl 1481.34046 J. Dyn. Differ. Equations 31, No. 4, 2017-2028 (2019). Reviewer: Kwok-wai Chung (Hong Kong) MSC: 34C11 34C25 70K40 PDFBibTeX XMLCite \textit{R. Ortega} and \textit{D. Rojas}, J. Dyn. Differ. Equations 31, No. 4, 2017--2028 (2019; Zbl 1481.34046) Full Text: DOI arXiv Link
Rudenok, A. E. Generalized symmetry of the Liénard system. (English. Russian original) Zbl 1423.34033 Differ. Equ. 55, No. 2, 181-193 (2019); translation from Differ. Uravn. 55, No. 2, 180-191 (2019). MSC: 34C05 34A34 34C14 34C25 PDFBibTeX XMLCite \textit{A. E. Rudenok}, Differ. Equ. 55, No. 2, 181--193 (2019; Zbl 1423.34033); translation from Differ. Uravn. 55, No. 2, 180--191 (2019) Full Text: DOI
Huang, Wentao; Basov, Vladimir; Han, Maoan; Romanovski, Valery Bifurcation of critical periods of a quartic system. (English) Zbl 1413.34147 Electron. J. Qual. Theory Differ. Equ. 2018, Paper No. 76, 18 p. (2018). MSC: 34C23 34C25 37G15 34C07 PDFBibTeX XMLCite \textit{W. Huang} et al., Electron. J. Qual. Theory Differ. Equ. 2018, Paper No. 76, 18 p. (2018; Zbl 1413.34147) Full Text: DOI
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 PDFBibTeX XMLCite \textit{W. Fernandes} et al., J. Math. Anal. Appl. 467, No. 2, 874--892 (2018; Zbl 1410.34092) Full Text: DOI
Romanovski, Valery G.; Han, Maoan; Huang, Wentao Bifurcation of critical periods of a quintic system. (English) Zbl 1391.34075 Electron. J. Differ. Equ. 2018, Paper No. 66, 11 p. (2018). Reviewer: Douglas S. Shafer (Charlotte) MSC: 34C23 34C25 37G15 34C05 34C07 PDFBibTeX XMLCite \textit{V. G. Romanovski} et al., Electron. J. Differ. Equ. 2018, Paper No. 66, 11 p. (2018; Zbl 1391.34075) Full Text: Link
Wang, Zhaoxia; Chen, Xingwu; Zhang, Weinian Isochronicity of centers in some planar differential systems. (Chinese. English summary) Zbl 1499.34223 Sci. Sin., Math. 47, No. 1, 37-52 (2017). MSC: 34C05 34C25 PDFBibTeX XMLCite \textit{Z. Wang} et al., Sci. Sin., Math. 47, No. 1, 37--52 (2017; Zbl 1499.34223) Full Text: DOI
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 PDFBibTeX XMLCite \textit{V. G. Romanovski} et al., Nonlinear Dyn. 90, No. 1, 257--269 (2017; Zbl 1390.70056) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{V. G. Romanovski} et al., J. Comput. Appl. Math. 320, 61--75 (2017; Zbl 1373.34053) 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 PDFBibTeX XMLCite \textit{W. Fernandes} et al., J. Math. Anal. Appl. 450, No. 1, 795--813 (2017; Zbl 1365.34062) Full Text: DOI arXiv
Wu, Yusen Calculation of generalized period constants via time-angle difference for complex analytic systems with resonant ratio. (English) Zbl 1333.34048 J. Nonlinear Sci. Appl. 9, No. 4, 1766-1775 (2016). MSC: 34C05 34C07 34-04 34C25 PDFBibTeX XMLCite \textit{Y. Wu}, J. Nonlinear Sci. Appl. 9, No. 4, 1766--1775 (2016; Zbl 1333.34048) Full Text: DOI Link
Zheng, Qingyu; Li, Hongwei Center and pseudo-isochronous conditions in a quasi analytic system. (English) Zbl 1332.34064 J. Nonlinear Sci. Appl. 9, No. 1, 102-111 (2016). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C05 34C07 34C25 PDFBibTeX XMLCite \textit{Q. Zheng} and \textit{H. Li}, J. Nonlinear Sci. Appl. 9, No. 1, 102--111 (2016; Zbl 1332.34064) Full Text: DOI Link
Guha, Partha; Choudhury, A. Ghose; Khanra, Barun \(\lambda\)-symmetries, isochronicity, and integrating factors of nonlinear ordinary differential equations. (English) Zbl 1360.34080 J. Eng. Math. 82, 85-99 (2013). MSC: 34C14 34M55 PDFBibTeX XMLCite \textit{P. Guha} et al., J. Eng. Math. 82, 85--99 (2013; Zbl 1360.34080) Full Text: DOI
Strelcyn, Jean-Marie About Chouikha’s isochronicity criterion. (English) Zbl 1322.34051 Krasiński, Tadeusz (ed.) et al., Analytic and algebraic geometry. Dedicated to the memory of Stanisław Łojasiewicz. Lodz: University of Lodz, Faculty of Mathematics and Computer Science (ISBN 978-83-7969-017-6/hbk). 135-139 (2013). MSC: 34C05 PDFBibTeX XMLCite \textit{J.-M. Strelcyn}, in: Analytic and algebraic geometry. Dedicated to the memory of Stanisław Łojasiewicz. Lodz: University of Lodz, Faculty of Mathematics and Computer Science. 135--139 (2013; Zbl 1322.34051) Full Text: arXiv
Kovacic, Ivana; Rand, Richard About a class of nonlinear oscillators with amplitude-independent frequency. (English) Zbl 1281.34050 Nonlinear Dyn. 74, No. 1-2, 455-465 (2013). MSC: 34C15 PDFBibTeX XMLCite \textit{I. Kovacic} and \textit{R. Rand}, Nonlinear Dyn. 74, No. 1--2, 455--465 (2013; Zbl 1281.34050) Full Text: DOI
Arriagada-Silva, Waldo Analytic obstructions to isochronicity in codimension 1. (English) Zbl 1302.34051 Proc. R. Soc. Edinb., Sect. A, Math. 143, No. 4, 669-688 (2013). Reviewer: Maite Grau (Lleida) MSC: 34C05 34C20 PDFBibTeX XMLCite \textit{W. Arriagada-Silva}, Proc. R. Soc. Edinb., Sect. A, Math. 143, No. 4, 669--688 (2013; Zbl 1302.34051) Full Text: DOI
Choudhury, A. Ghose; Guha, Partha On commuting vector fields and Darboux functions for planar differential equations. (English) Zbl 1288.34031 Lobachevskii J. Math. 34, No. 3, 212-226 (2013). Reviewer: Antonio E. Teruel (Palma) MSC: 34C05 34C14 34C25 PDFBibTeX XMLCite \textit{A. G. Choudhury} and \textit{P. Guha}, Lobachevskii J. Math. 34, No. 3, 212--226 (2013; Zbl 1288.34031) Full Text: DOI
Buzzi, Claudio; Pessoa, Claudio; Torregrosa, Joan Piecewise linear perturbations of a linear center. (English) Zbl 1312.37037 Discrete Contin. Dyn. Syst. 33, No. 9, 3915-3936 (2013). Reviewer: Paolo Giulietti (Porto Alegre) MSC: 37G15 34C05 37C10 PDFBibTeX XMLCite \textit{C. Buzzi} et al., Discrete Contin. Dyn. Syst. 33, No. 9, 3915--3936 (2013; Zbl 1312.37037) Full Text: DOI
Guha, Partha; Ghose Choudhury, A. The Jacobi last multiplier and isochronicity of Liénard type systems. (English) Zbl 1278.34040 Rev. Math. Phys. 25, No. 6, Article ID 1330009, 31 p. (2013). Reviewer: Jaume Giné (Lleida) MSC: 34C25 34C14 34C20 34C05 PDFBibTeX XMLCite \textit{P. Guha} and \textit{A. Ghose Choudhury}, Rev. Math. Phys. 25, No. 6, Article ID 1330009, 31 p. (2013; Zbl 1278.34040) Full Text: DOI
Huang, Wentao; Romanovski, Valery G.; Zhang, Weinian Weak centers and local bifurcations of critical periods at infinity for a class of rational systems. (English) Zbl 1329.34065 Acta Math. Appl. Sin., Engl. Ser. 29, No. 2, 377-390 (2013). MSC: 34C05 34C23 PDFBibTeX XMLCite \textit{W. Huang} et al., Acta Math. Appl. Sin., Engl. Ser. 29, No. 2, 377--390 (2013; Zbl 1329.34065) Full Text: DOI
Chen, Xingwu; Huang, Wentao; Romanovski, Valery G.; Zhang, Weinian Linearizability and local bifurcation of critical periods in a cubic Kolmogorov system. (English) Zbl 1280.34033 J. Comput. Appl. Math. 245, 86-96 (2013). Reviewer: A. P. Sadovskii (Minsk) MSC: 34C05 34C23 34C20 PDFBibTeX XMLCite \textit{X. Chen} et al., J. Comput. Appl. Math. 245, 86--96 (2013; Zbl 1280.34033) Full Text: DOI
Sabatini, Marco Linearizations, normalizations and isochrones of planar differential systems. (English) Zbl 1271.34044 Rend. Ist. Mat. Univ. Trieste 44, 153-171 (2012). Reviewer: Jaume Giné (Lleida) MSC: 34C20 34C05 34C25 PDFBibTeX XMLCite \textit{M. Sabatini}, Rend. Ist. Mat. Univ. Trieste 44, 153--171 (2012; Zbl 1271.34044)
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 PDFBibTeX XMLCite \textit{M. Han} and \textit{V. G. Romanovski}, J. Symb. Comput. 47, No. 10, 1163--1174 (2012; Zbl 1248.34046) Full Text: DOI
Edneral, Victor; Romanovski, Valery G. Normal forms of two \(p: - q\) resonant polynomial vector fields. (English) Zbl 1344.68296 Gerdt, Vladimir P. (ed.) et al., Computer algebra in scientific computing. 13th international workshop, CASC 2011, Kassel, Germany, September 5–9, 2011. Proceedings. Berlin: Springer (ISBN 978-3-642-23567-2/pbk). Lecture Notes in Computer Science 6885, 126-134 (2011). MSC: 68W30 13P10 34C05 PDFBibTeX XMLCite \textit{V. Edneral} and \textit{V. G. Romanovski}, Lect. Notes Comput. Sci. 6885, 126--134 (2011; Zbl 1344.68296) 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 PDFBibTeX XMLCite \textit{J. Giné} et al., Comput. Math. Appl. 61, No. 4, 1190--1201 (2011; Zbl 1217.34058) Full Text: DOI
Llibre, Jaume; Valls, Clàudia Classification of the centers and their isochronicity for a class of polynomial differential systems of arbitrary degree. (English) Zbl 1230.37028 Adv. Math. 227, No. 1, 472-493 (2011). Reviewer: Dieter Erle (Dortmund) MSC: 37C10 34C07 PDFBibTeX XMLCite \textit{J. Llibre} and \textit{C. Valls}, Adv. Math. 227, No. 1, 472--493 (2011; Zbl 1230.37028) Full Text: DOI
Bardet, Magali; Boussaada, Islam; Chouikha, A. Raouf; Strelcyn, Jean-Marie Isochronicity conditions for some planar polynomial systems. II. (English) Zbl 1221.34076 Bull. Sci. Math. 135, No. 2, 230-249 (2011). Reviewer: Valery Romanovski (Maribor) MSC: 34C05 34C25 PDFBibTeX XMLCite \textit{M. Bardet} et al., Bull. Sci. Math. 135, No. 2, 230--249 (2011; Zbl 1221.34076) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{I. Boussaada} et al., Bull. Sci. Math. 135, No. 1, 89--112 (2011; Zbl 1220.34047) Full Text: DOI arXiv HAL
Sang, Bo; Yi, Jilin; Zhu, Siming Isochronicity conditions for time-reversible systems. (Chinese. English summary) Zbl 1240.34167 J. Qufu Norm. Univ., Nat. Sci. 36, No. 2, 7-9 (2010). MSC: 34C05 34C14 34C25 PDFBibTeX XMLCite \textit{B. Sang} et al., J. Qufu Norm. Univ., Nat. Sci. 36, No. 2, 7--9 (2010; Zbl 1240.34167)
Llibre, Jaume; Valls, Clàudia Classification of centers, their cyclicity and isochronicity for a class of polynomial differential systems of degree \(d\geq 7\) odd. (English) Zbl 1230.37027 Bull. Belg. Math. Soc. - Simon Stevin 17, No. 5, 859-873 (2010). Reviewer: Marta Chinnici (Napoli) MSC: 37C10 34C05 34C07 37C15 PDFBibTeX XMLCite \textit{J. Llibre} and \textit{C. Valls}, Bull. Belg. Math. Soc. - Simon Stevin 17, No. 5, 859--873 (2010; Zbl 1230.37027) Full Text: Euclid
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 PDFBibTeX XMLCite \textit{Z. Wang} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 1, 228--243 (2010; Zbl 1211.34040) 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 PDFBibTeX XMLCite \textit{Y. Wu} and \textit{C. Zhang}, Result. Math. 57, No. 1--2, 97--119 (2010; Zbl 1200.34045) Full Text: DOI
Wang, Zhaoxia; Chen, Xingwu; Zhang, Weinian Local bifurcations of critical periods in a generalized 2D LV system. (English) Zbl 1175.34052 Appl. Math. Comput. 214, No. 1, 17-25 (2009). Reviewer: Josef Hainzl (Freiburg) MSC: 34C23 92D25 34C25 34C05 PDFBibTeX XMLCite \textit{Z. Wang} et al., Appl. Math. Comput. 214, No. 1, 17--25 (2009; Zbl 1175.34052) Full Text: DOI
Giné, Jaume; Romanovski, Valery G. Linearizability conditions for Lotka-Volterra planar complex cubic systems. (English) Zbl 1188.34115 J. Phys. A, Math. Theor. 42, No. 22, Article ID 225206, 15 p. (2009). Reviewer: Armengol Gasull (Barcelona) MSC: 34M25 37F75 32S65 PDFBibTeX XMLCite \textit{J. Giné} and \textit{V. G. Romanovski}, J. Phys. A, Math. Theor. 42, No. 22, Article ID 225206, 15 p. (2009; Zbl 1188.34115) Full Text: DOI
Volokitin, E. P. Sufficient center conditions for some classes of polynomial uniformly isochronous systems. (Russian, English) Zbl 1224.34096 Sib. Zh. Ind. Mat. 11, No. 1, 37-45 (2008); translation in J. Appl. Ind. Math. 3, No. 3, 401-408 (2009). MSC: 34C05 34C25 PDFBibTeX XMLCite \textit{E. P. Volokitin}, Sib. Zh. Ind. Mat. 11, No. 1, 37--45 (2008; Zbl 1224.34096); translation in J. Appl. Ind. Math. 3, No. 3, 401--408 (2009) 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 PDFBibTeX XMLCite \textit{X. Chen} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 5--6, 1525--1539 (2008; Zbl 1159.34025) Full Text: DOI
Algaba, A.; Reyes, M. Isochronous centres and foci via commutators and normal forms. (English) Zbl 1155.34018 Proc. R. Soc. Edinb., Sect. A, Math. 138, No. 1, 1-13 (2008). Reviewer: Maite Grau (Lleida) MSC: 34C05 34C23 37G15 PDFBibTeX XMLCite \textit{A. Algaba} and \textit{M. Reyes}, Proc. R. Soc. Edinb., Sect. A, Math. 138, No. 1, 1--13 (2008; Zbl 1155.34018) Full Text: DOI
Amel’kin, V. V. On the order of strong isochronicity of plane dynamical systems. (English. Russian original) Zbl 1162.34319 Differ. Equ. 43, No. 10, 1464-1467 (2007); translation from Differ. Uravn. 43, No. 10, 1427-1429 (2007). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C05 34C23 PDFBibTeX XMLCite \textit{V. V. Amel'kin}, Differ. Equ. 43, No. 10, 1464--1467 (2007; Zbl 1162.34319); translation from Differ. Uravn. 43, No. 10, 1427--1429 (2007) Full Text: DOI
Wang, Qinlong; Liu, Yirong Isochronous center for a class of quintic system. (Chinese. English summary) Zbl 1150.34395 Acta Math. Sci., Ser. A, Chin. Ed. 27, No. 6, 1044-1053 (2007). MSC: 34C05 PDFBibTeX XMLCite \textit{Q. Wang} and \textit{Y. Liu}, Acta Math. Sci., Ser. A, Chin. Ed. 27, No. 6, 1044--1053 (2007; Zbl 1150.34395)
Wang, Qinlong; Song, Shugang; Liu, Yirong Complex isochronicity of a sixth degree system. (English) Zbl 1150.34396 Ann. Differ. Equations 23, No. 3, 352-357 (2007). MSC: 34C05 PDFBibTeX XMLCite \textit{Q. Wang} et al., Ann. Differ. Equations 23, No. 3, 352--357 (2007; Zbl 1150.34396)
Dolićanin, Diana; Milovanović, Gradimir V.; Romanovski, Valery G. Linearizability conditions for a cubic system. (English) Zbl 1133.34331 Appl. Math. Comput. 190, No. 1, 937-945 (2007). Reviewer: Douglas S. Shafer (Charlotte) MSC: 34C05 34C25 34C41 PDFBibTeX XMLCite \textit{D. Dolićanin} et al., Appl. Math. Comput. 190, No. 1, 937--945 (2007; Zbl 1133.34331) Full Text: DOI
Romanovski, Valery G.; Chen, Xingwu; Hu, Zhaoping Linearizability of linear systems perturbed by fifth degree homogeneous polynomials. (English) Zbl 1127.34020 J. Phys. A, Math. Theor. 40, No. 22, 5905-5919 (2007). Reviewer: Alexey Remizov (Porto) MSC: 34C20 34C25 34C05 PDFBibTeX XMLCite \textit{V. G. Romanovski} et al., J. Phys. A, Math. Theor. 40, No. 22, 5905--5919 (2007; Zbl 1127.34020) Full Text: DOI
Chouikha, A. Raouf Isochronous centers of Lienard type equations and applications. (English) Zbl 1125.34020 J. Math. Anal. Appl. 331, No. 1, 358-376 (2007). Reviewer: Marco Spadini (Firenze) MSC: 34C05 34C25 PDFBibTeX XMLCite \textit{A. R. Chouikha}, J. Math. Anal. Appl. 331, No. 1, 358--376 (2007; Zbl 1125.34020) Full Text: DOI arXiv
Fedorov, Yuri N.; Gómez-Ullate, David Dynamical systems on infinitely sheeted Riemann surfaces. (English) Zbl 1130.37384 Physica D 227, No. 2, 120-134 (2007). MSC: 37J35 30F99 37F99 PDFBibTeX XMLCite \textit{Y. N. Fedorov} and \textit{D. Gómez-Ullate}, Physica D 227, No. 2, 120--134 (2007; Zbl 1130.37384) Full Text: DOI arXiv Link
Calogero, Francesco; Sommacal, Matteo Solvable nonlinear evolution PDEs in multidimensional space. (English) Zbl 1132.35344 SIGMA, Symmetry Integrability Geom. Methods Appl. 2, Paper 088, 17 p. (2006). MSC: 35G25 35Q40 35Q55 58J70 PDFBibTeX XMLCite \textit{F. Calogero} and \textit{M. Sommacal}, SIGMA, Symmetry Integrability Geom. Methods Appl. 2, Paper 088, 17 p. (2006; Zbl 1132.35344) Full Text: DOI arXiv EuDML EMIS
Al-Dosary, Khalil I. T. The monotonicity of the period function for \(x''+f_2(x)x^{\prime2}+ f_1(x)x'+ g(x)=0\). (English) Zbl 1127.34016 Int. J. Pure Appl. Math. 32, No. 2, 167-189 (2006). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C05 34C25 PDFBibTeX XMLCite \textit{K. I. T. Al-Dosary}, Int. J. Pure Appl. Math. 32, No. 2, 167--189 (2006; Zbl 1127.34016)
Calogero, F. Isochronous dynamical systems. (English) Zbl 1134.37321 Appl. Anal. 85, No. 1-3, 5-22 (2006). MSC: 37C27 37J35 70F10 37J45 PDFBibTeX XMLCite \textit{F. Calogero}, Appl. Anal. 85, No. 1--3, 5--22 (2006; Zbl 1134.37321) Full Text: DOI
Ashwin, P.; Dangelmayr, G. Reduced dynamics and symmetric solutions for globally coupled weakly dissipative oscillators. (English) Zbl 1086.37041 Dyn. Syst. 20, No. 3, 333-367 (2005). MSC: 37L20 37L15 34C15 PDFBibTeX XMLCite \textit{P. Ashwin} and \textit{G. Dangelmayr}, Dyn. Syst. 20, No. 3, 333--367 (2005; Zbl 1086.37041) Full Text: DOI Link
Mañosas, Francesc; Torres, Pedro J. Isochronicity of a class of piecewise continuous oscillators. (English) Zbl 1079.34018 Proc. Am. Math. Soc. 133, No. 10, 3027-3035 (2005). Reviewer: Faouzi Lakrad (Casablanca) MSC: 34C05 34C15 PDFBibTeX XMLCite \textit{F. Mañosas} and \textit{P. J. Torres}, Proc. Am. Math. Soc. 133, No. 10, 3027--3035 (2005; Zbl 1079.34018) Full Text: DOI
Calogero, Francesco A technique to identify solvable dynamical systems, and another solvable extension of the goldfish many-body problem. (English) Zbl 1064.70010 J. Math. Phys. 45, No. 12, 4661-4678 (2004). MSC: 70F10 70H06 PDFBibTeX XMLCite \textit{F. Calogero}, J. Math. Phys. 45, No. 12, 4661--4678 (2004; Zbl 1064.70010) Full Text: DOI
Giné, Jaume Isochronous foci for analytic differential systems. (English) Zbl 1069.34046 Int. J. Bifurcation Chaos Appl. Sci. Eng. 13, No. 6, 1617-1623 (2003). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C05 PDFBibTeX XMLCite \textit{J. Giné}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 13, No. 6, 1617--1623 (2003; Zbl 1069.34046) Full Text: DOI
Jarque, Xavier; Villadelprat, Jordi On the period function of centers in planar polynomial Hamiltonian systems of degree four. (English) Zbl 1055.34057 Qual. Theory Dyn. Syst. 3, No. 1, 157-180 (2002). Reviewer: Jinghuang Tian (Phoenix) MSC: 34C05 34C07 37J99 PDFBibTeX XMLCite \textit{X. Jarque} and \textit{J. Villadelprat}, Qual. Theory Dyn. Syst. 3, No. 1, 157--180 (2002; Zbl 1055.34057) Full Text: DOI
Romanovski, Valery G.; Robnik, Marko The centre and isochronicity problems for some cubic systems. (English) Zbl 1014.34028 J. Phys. A, Math. Gen. 34, No. 47, 10267-10292 (2001). Reviewer: Marco Sabatini (Trento) MSC: 34C20 37C10 34C05 PDFBibTeX XMLCite \textit{V. G. Romanovski} and \textit{M. Robnik}, J. Phys. A, Math. Gen. 34, No. 47, 10267--10292 (2001; Zbl 1014.34028) Full Text: DOI
Algaba, Antonio; Freire, Emilio; Gamero, Estanislao Isochronicity via normal form. (English) Zbl 1021.34022 Qual. Theory Dyn. Syst. 1, No. 2, 133-156 (2000). Reviewer: Armengol Gasull (Bellaterra, Barcelona) MSC: 34C05 34C20 37C27 37G05 37C10 PDFBibTeX XMLCite \textit{A. Algaba} et al., Qual. Theory Dyn. Syst. 1, No. 2, 133--156 (2000; Zbl 1021.34022) Full Text: DOI
Chavarriga, J.; Giné, J.; García, I. A. Isochronous centers of a linear center perturbed by fifth degree homogeneous polynomials. (English) Zbl 0978.34028 J. Comput. Appl. Math. 126, No. 1-2, 351-368 (2000). Reviewer: Marco Sabatini (Trento) MSC: 34C05 34D10 PDFBibTeX XMLCite \textit{J. Chavarriga} et al., J. Comput. Appl. Math. 126, No. 1--2, 351--368 (2000; Zbl 0978.34028) Full Text: DOI
Ashwin, Peter; Dangelmayr, Gerhard Isochronicity-induced bifurcations in systems of weakly dissipative coupled oscillators. (English) Zbl 0976.34033 Dyn. Stab. Syst. 15, No. 3, 263-286 (2000). Reviewer: Sergei Yu.Pilyugin (St.Peterburg) MSC: 34C15 37J20 PDFBibTeX XMLCite \textit{P. Ashwin} and \textit{G. Dangelmayr}, Dyn. Stab. Syst. 15, No. 3, 263--286 (2000; Zbl 0976.34033) Full Text: DOI
Cima, Anna; Gasull, Armengol; Mañosas, Francesc Period function for a class of Hamiltonian systems. (English) Zbl 0991.37039 J. Differ. Equations 168, No. 1, 180-199 (2000). Reviewer: Lev Lerman (Nizhny Novgorod) MSC: 37J40 70K55 34C25 70K43 PDFBibTeX XMLCite \textit{A. Cima} et al., J. Differ. Equations 168, No. 1, 180--199 (2000; Zbl 0991.37039) Full Text: DOI
Amel’kin, V. V.; Al’-Khaider, Kasim Mukhamed Strong isochronism of polynomial differential systems with a center. (English. Russian original) Zbl 0978.34023 Differ. Equations 35, No. 7, 873-879 (1999); translation from Differ. Uravn. 35, No. 7, 867-873 (1999). Reviewer: Marco Sabatini (Trento) MSC: 34C05 34C14 34C07 PDFBibTeX XMLCite \textit{V. V. Amel'kin} and \textit{K. M. Al'-Khaider}, Differ. Equations 35, No. 7, 873--879 (1999; Zbl 0978.34023); translation from Differ. Uravn. 35, No. 7, 867--873 (1999)
Gasull, Armengol; Guillamon, Antoni; Mañosa, Víctor An analytic-numerical method for computation of the Liapunov and period constants derived from their algebraic structure. (English) Zbl 0935.65078 SIAM J. Numer. Anal. 36, No. 4, 1030-1043 (1999). Reviewer: N.Parhi (Berhampur) MSC: 65L07 34D20 34C25 PDFBibTeX XMLCite \textit{A. Gasull} et al., SIAM J. Numer. Anal. 36, No. 4, 1030--1043 (1999; Zbl 0935.65078) Full Text: DOI
Robnik, Marko; Romanovski, Valery G. On Urabe’s criteria of isochronicity. (English) Zbl 0987.34038 J. Phys. A, Math. Gen. 32, No. 7, 1279-1283 (1999). MSC: 34C25 34C05 PDFBibTeX XMLCite \textit{M. Robnik} and \textit{V. G. Romanovski}, J. Phys. A, Math. Gen. 32, No. 7, 1279--1283 (1999; Zbl 0987.34038) Full Text: DOI arXiv
Chavarriga, Javier; Giné, Jaume; García, I. A. Isochronous centers of a linear center perturbed by fourth degree homogeneous polynomial. (English) Zbl 0921.34032 Bull. Sci. Math. 123, No. 2, 77-96 (1999). Reviewer: Alexandr Vasil’ev (Odessa) MSC: 34C05 34A05 PDFBibTeX XMLCite \textit{J. Chavarriga} et al., Bull. Sci. Math. 123, No. 2, 77--96 (1999; Zbl 0921.34032) Full Text: DOI
Gavrilov, Lubomir Isochronicity of plane polynomial Hamiltonian systems. (English) Zbl 0949.34077 Nonlinearity 10, No. 2, 433-448 (1997). Reviewer: Lev Lerman (Nizhny Novgorod) MSC: 34M35 34C05 37J99 34M45 PDFBibTeX XMLCite \textit{L. Gavrilov}, Nonlinearity 10, No. 2, 433--448 (1997; Zbl 0949.34077) Full Text: DOI Link
Dimitrovski, Dragan; Gogovska, Valentina; Brsakoska, Slaǵana Cycloidal trigonometry. (Macedonian) Zbl 1031.51500 God. Zb., Prir.-Mat. Fak. Univ. Kiril Metodij Skopje 37, 59-71 (1996). Reviewer: Mirjana Đorić (Beograd) MSC: 51N05 97D40 PDFBibTeX XMLCite \textit{D. Dimitrovski} et al., God. Zb., Prir.-Mat. Fak. Univ. Kiril Metodij Skopje 37, 59--71 (1996; Zbl 1031.51500)
Mardešić, P.; Rousseau, C.; Toni, B. Linearization of isochronous centers. (English) Zbl 0830.34023 J. Differ. Equations 121, No. 1, 67-108 (1995). Reviewer: Yu.V.Rogovchenko (Firenze) MSC: 34C05 34C20 PDFBibTeX XMLCite \textit{P. Mardešić} et al., J. Differ. Equations 121, No. 1, 67--108 (1995; Zbl 0830.34023) Full Text: DOI
Gasull, A.; Guillamon, A.; Mañosa, V. Centre and isochronicity conditions for systems with homogeneous nonlinearities. (English) Zbl 0909.34030 Sofonea, M. (ed.) et al., Proceedings of the 2nd Catalan days on Applied mathematics. Font-Romeu, Odeillo, France, November 29 - December 1, 1995. Perpignan: Presses universitaires. 105-116 (1995). Reviewer: J.Hainzl (Freiburg) MSC: 34C05 34C15 34C25 68W30 PDFBibTeX XMLCite \textit{A. Gasull} et al., in: Proceedings of the 2nd Catalan days on Applied mathematics. Font-Romeu, Odeillo, France, November 29 - December 1, 1995. Perpignan: Presses universitaires. 105--116 (1995; Zbl 0909.34030)
Villarini, Massimo Regularity properties of the period function near a center of a planar vector field. (English) Zbl 0769.34033 Nonlinear Anal., Theory Methods Appl. 19, No. 8, 787-803 (1992). Reviewer: C.Chicone (Columbia) MSC: 34C25 34C05 PDFBibTeX XMLCite \textit{M. Villarini}, Nonlinear Anal., Theory Methods Appl. 19, No. 8, 787--803 (1992; Zbl 0769.34033) Full Text: DOI
Pleshkan, I. I. Isochronism of systems of two differential equations with second members containing common factors. (English. Russian original) Zbl 0658.34021 Differ. Equations 23, No. 6, 657-667 (1987); translation from Differ. Uravn. 23, No. 6, 981-993 (1987). MSC: 34C05 34A34 PDFBibTeX XMLCite \textit{I. I. Pleshkan}, Differ. Equations 23, No. 6, 657--667 (1987; Zbl 0658.34021); translation from Differ. Uravn. 23, No. 6, 981--993 (1987)
Pleshkan, I. I. On the isochronism of systems of two differential equations the right- hand sides of which contain general multipliers. (Russian) Zbl 0641.34030 Differ. Uravn. 23, No. 6, 981-993 (1987). Reviewer: M.Svec MSC: 34C05 34A34 PDFBibTeX XMLCite \textit{I. I. Pleshkan}, Differ. Uravn. 23, No. 6, 981--993 (1987; Zbl 0641.34030)
Al’-Khajder, Kasim Mukhamed Second order isochronicity of two-dimensional analytic differential systems. (Russian) Zbl 0608.34035 Vestn. Beloruss. Gos. Univ. Im. V. I. Lenina, Ser. I 1983, No. 3, 66-67 (1983). MSC: 34C05 PDFBibTeX XMLCite \textit{K. M. Al'-Khajder}, Vestn. Beloruss. Gos. Univ. Im. V. I. Lenina, Ser. I 1983, No. 3, 66--67 (1983; Zbl 0608.34035)
Pleshkan, I. I. A new method of investigating the isochronicity of a system of two differential equations. (English) Zbl 0252.34034 Differ. Equations 5 (1969), 796-802 (1972). MSC: 34C05 PDFBibTeX XMLCite \textit{I. I. Pleshkan}, Differ. Equations 5, 796--802 (1972; Zbl 0252.34034)
Pleshkan, I. I. A new method of investigating the isochronicity of a system of two differential equations. (Ein neues Verfahren der Untersuchung eines Systems von zwei Differentialgleichungen in bezug auf Isochronie.) (Russian) Zbl 0169.42003 Differ. Uravn. 5, 1083-1090 (1969). MSC: 34C05 PDFBibTeX XMLCite \textit{I. I. Pleshkan}, Differ. Uravn. 5, 1083--1090 (1969; Zbl 0169.42003)
Chemodanov, V. I. Isochronicity in the case of a focus. (Über die Isochronie für den Fall eines Fokuspunktes.) (Russian) Zbl 0169.42002 Differ. Uravn. 5, 964-966 (1969). MSC: 34C05 PDFBibTeX XMLCite \textit{V. I. Chemodanov}, Differ. Uravn. 5, 964--966 (1969; Zbl 0169.42002)