Giné, Jaume; Gouveia, Luiz F. S.; Torregrosa, Joan Lower bounds for the local cyclicity for families of centers. (English) Zbl 1467.34034 J. Differ. Equations 275, 309-331 (2021). Reviewer: Xiuli Cen (Zhuhai) MSC: 34C07 34C23 34C05 PDF BibTeX XML Cite \textit{J. Giné} et al., J. Differ. Equations 275, 309--331 (2021; Zbl 1467.34034) Full Text: DOI OpenURL
Gouveia, Luiz F. S.; Torregrosa, Joan Lower bounds for the local cyclicity of centers using high order developments and parallelization. (English) Zbl 1460.34046 J. Differ. Equations 271, 447-479 (2021). Reviewer: Jeidy Johana Jimenez (Goiânia) MSC: 34C23 34C25 34C07 PDF BibTeX XML Cite \textit{L. F. S. Gouveia} and \textit{J. Torregrosa}, J. Differ. Equations 271, 447--479 (2021; Zbl 1460.34046) Full Text: DOI OpenURL
Zhao, Liqin; Fan, Zengyan The number of small amplitude limit cycles in arbitrary polynomial systems. (English) Zbl 1306.34049 J. Math. Anal. Appl. 407, No. 2, 237-249 (2013). MSC: 34C07 PDF BibTeX XML Cite \textit{L. Zhao} and \textit{Z. Fan}, J. Math. Anal. Appl. 407, No. 2, 237--249 (2013; Zbl 1306.34049) Full Text: DOI OpenURL
Leonov, G. A.; Kuznetsov, N. V. Hidden attractors in dynamical systems. from hidden oscillations in Hilbert-Kolmogorov, Aizerman, and Kalman problems to hidden chaotic attractor in Chua circuits. (English) Zbl 1270.34003 Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 1, Article ID 1330002, 69 p. (2013). MSC: 34-01 34C05 34D20 34D45 34C60 65Lxx 34C23 34D10 PDF BibTeX XML Cite \textit{G. A. Leonov} and \textit{N. V. Kuznetsov}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 1, Article ID 1330002, 69 p. (2013; Zbl 1270.34003) Full Text: DOI OpenURL
Jiang, J.; Han, M.; Yu, P.; Lynch, S. Limit cycles in two types of symmetric Liénard systems. (English) Zbl 1151.34312 Int. J. Bifurcation Chaos Appl. Sci. Eng. 17, No. 6, 2169-2174 (2007). Reviewer: Alexander Grin (Grodno) MSC: 34C07 34C05 34C23 PDF BibTeX XML Cite \textit{J. Jiang} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 17, No. 6, 2169--2174 (2007; Zbl 1151.34312) Full Text: DOI OpenURL
Yu, P.; Han, M. On limit cycles of the Liénard equation with \(Z_2\) symmetry. (English) Zbl 1149.34025 Chaos Solitons Fractals 31, No. 3, 617-630 (2007). Reviewer: Alexander Grin (Grodno) MSC: 34C07 34C05 PDF BibTeX XML Cite \textit{P. Yu} and \textit{M. Han}, Chaos Solitons Fractals 31, No. 3, 617--630 (2007; Zbl 1149.34025) Full Text: DOI OpenURL
Giné, Jaume; Santallusia, Xavier Implementation of a new algorithm of computation of the Poincaré-Lyapunov constants. (English) Zbl 1051.65125 J. Comput. Appl. Math. 166, No. 2, 465-476 (2004). MSC: 65P30 37G15 37M20 PDF BibTeX XML Cite \textit{J. Giné} and \textit{X. Santallusia}, J. Comput. Appl. Math. 166, No. 2, 465--476 (2004; Zbl 1051.65125) Full Text: DOI OpenURL
Krasnosel’skij, A. M.; Rachinskij, D. I. On the continua of cycles in systems with hysteresis. (English. Russian original) Zbl 1052.34052 Dokl. Math. 63, No. 3, 339-344 (2001); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 378, No. 3, 314-319 (2001). Reviewer: E. V. Shchetinina (Samara) MSC: 34C55 34C05 PDF BibTeX XML Cite \textit{A. M. Krasnosel'skij} and \textit{D. I. Rachinskij}, Dokl. Math. 63, No. 3, 314--319 (2001; Zbl 1052.34052); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 378, No. 3, 314--319 (2001) OpenURL
Brudnyi, Alexander Small amplitude limit cycles and the distribution of zeros of families of analytic functions. (English) Zbl 1010.34021 Ann. Math. (2) 154, No. 2, 227-243 (2001). Reviewer: Maoan Han (Shanghai) MSC: 34C05 34C10 60F05 PDF BibTeX XML Cite \textit{A. Brudnyi}, Ann. Math. (2) 154, No. 2, 227--243 (2001; Zbl 1010.34021) Full Text: DOI arXiv OpenURL
Muresan, Marian On Hilbert’s \({16}^{th}\) problem. (English) Zbl 0996.34028 Publ. Math. 55, No. 3-4, 299-331 (1999). Reviewer: László Székelyhidi (Debrecen) MSC: 34C07 34C05 34C23 PDF BibTeX XML Cite \textit{M. Muresan}, Publ. Math. 55, No. 3--4, 299--331 (1999; Zbl 0996.34028) OpenURL
Phillips, W. R. C.; Wu, Z.; Jahnke, C. C. Longitudinal vortices in wavy boundary layers. (English) Zbl 0981.76032 Sajjadi, S. G. (ed.) et al., Wind-over-wave couplings: perspectives and prospects. Proceedings of the conference held in Salford, GB, April 1997. Oxford: Clarendon Press. Inst. Math. Appl. Conf. Ser., New Ser. 69, 41-47 (1999). MSC: 76E20 76F40 86A05 76U05 PDF BibTeX XML Cite \textit{W. R. C. Phillips} et al., in: Wind-over-wave couplings: perspectives and prospects. Proceedings of the conference held in Salford, GB, April 1997. Oxford: Clarendon Press. 41--47 (1999; Zbl 0981.76032) OpenURL
Lynch, S. Generalized cubic Liénard equations. (English) Zbl 0934.34040 Appl. Math. Lett. 12, No. 2, 1-6 (1999). MSC: 34D08 34C05 PDF BibTeX XML Cite \textit{S. Lynch}, Appl. Math. Lett. 12, No. 2, 1--6 (1999; Zbl 0934.34040) Full Text: DOI OpenURL
Lynch, S. Liénard systems and the second part of Hilbert’s sixteenth problem. (English) Zbl 0889.34026 Nonlinear Anal., Theory Methods Appl. 30, No. 3, 1395-1403 (1997). Reviewer: K.R.Schneider (Berlin) MSC: 34C05 PDF BibTeX XML Cite \textit{S. Lynch}, Nonlinear Anal., Theory Methods Appl. 30, No. 3, 1395--1403 (1997; Zbl 0889.34026) Full Text: DOI OpenURL
Ghosh, Dipanwita; Sarkar, A. K. Oscillatory behaviour of an autotroph-herbivore system with a type-III uptake function. (English) Zbl 0874.92033 Int. J. Syst. Sci. 28, No. 3, 259-264 (1997). MSC: 92D40 37N99 34C11 37G15 37C75 92D25 PDF BibTeX XML Cite \textit{D. Ghosh} and \textit{A. K. Sarkar}, Int. J. Syst. Sci. 28, No. 3, 259--264 (1997; Zbl 0874.92033) Full Text: DOI OpenURL
Tracqui, P. Mixed-mode oscillation genealogy in a compartmental model of bone mineral metabolism. (English) Zbl 0788.92005 J. Nonlinear Sci. 4, No. 1, 69-103 (1994). MSC: 92C30 37N99 34C05 PDF BibTeX XML Cite \textit{P. Tracqui}, J. Nonlinear Sci. 4, No. 1, 69--103 (1994; Zbl 0788.92005) Full Text: DOI OpenURL
Lloyd, N. G.; Pearson, J. M. Limit cycles and centres: An example. (English) Zbl 0790.34030 Elworthy, K.D. (ed.) et al., Differential equations, dynamical systems, and control science. A Festschrift in Honor of Lawrence Markus. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 152, 143-158 (1994). Reviewer: Ye Yanqian (Nanjing) MSC: 34C05 PDF BibTeX XML Cite \textit{N. G. Lloyd} and \textit{J. M. Pearson}, Lect. Notes Pure Appl. Math. 152, 143--158 (1994; Zbl 0790.34030) OpenURL
Urbina, A. M.; Léon de la Barra, G.; Léon de la Barra, M.; Cañas, M. Limit cycles of Liénard equations with nonlinear damping. (English) Zbl 0799.34030 Can. Math. Bull. 36, No. 2, 251-256 (1993). Reviewer: Á.Bosznay (Budapest) MSC: 34C05 34C25 PDF BibTeX XML Cite \textit{A. M. Urbina} et al., Can. Math. Bull. 36, No. 2, 251--256 (1993; Zbl 0799.34030) Full Text: DOI OpenURL
James, E. M.; Lloyd, N. G. A cubic system with eight small-amplitude limit cycles. (English) Zbl 0743.34037 IMA J. Appl. Math. 47, No. 2, 163-171 (1991). Reviewer: R.Lee (Fredericton) MSC: 34C05 34C23 PDF BibTeX XML Cite \textit{E. M. James} and \textit{N. G. Lloyd}, IMA J. Appl. Math. 47, No. 2, 163--171 (1991; Zbl 0743.34037) Full Text: DOI OpenURL
Devlin, James Word problems related to periodic solutions of a non-autonomous system. (English) Zbl 0726.34026 Math. Proc. Camb. Philos. Soc. 108, No. 1, 127-151 (1990). Reviewer: Ye Yanqian (Nanjing) MSC: 34C05 34C25 05A15 34C23 PDF BibTeX XML Cite \textit{J. Devlin}, Math. Proc. Camb. Philos. Soc. 108, No. 1, 127--151 (1990; Zbl 0726.34026) Full Text: DOI OpenURL
Tu, Son T. A phase-plane analysis of bursting in the three-dimensional Bonhoeffer- van der Pol equations. (English) Zbl 0666.92004 SIAM J. Appl. Math. 49, No. 2, 331-343 (1989). MSC: 92C05 70K05 PDF BibTeX XML Cite \textit{S. T. Tu}, SIAM J. Appl. Math. 49, No. 2, 331--343 (1989; Zbl 0666.92004) Full Text: DOI OpenURL
Antonelli, P. L.; Seymour, R. M. A model of myxomatosis based on hormonal control of rabbit-flea reproduction. (English) Zbl 0637.92009 IMA J. Math. Appl. Med. Biol. 5, No. 1, 65-80 (1988). MSC: 92D25 34C05 34C25 37-XX PDF BibTeX XML Cite \textit{P. L. Antonelli} and \textit{R. M. Seymour}, IMA J. Math. Appl. Med. Biol. 5, No. 1, 65--80 (1988; Zbl 0637.92009) OpenURL
Martiel, J. L.; Goldbeter, A. Origin of bursting and birhythmicity in a model for cyclic AMP oscillations in dictyostelium cells. (English) Zbl 0632.92008 Mathematical topics in population biology, morphogenesis and neurosciences, Proc. Int. Symp., Kyoto-Jap. 1985, Lect. Notes Biomath. 71, 244-255 (1987). Reviewer: J.Peil MSC: 92Cxx 93C15 93D99 PDF BibTeX XML OpenURL
Lungu, Nicolaie; Mureşan, Marian Limit cycles for certain systems of differential equations. (English) Zbl 0705.34025 Prepr., “Babeș-Bolyai” Univ., Fac. Math. Phys., Res. Semin. 1986, No. 3, 239-244 (1986). Reviewer: R.Lee MSC: 34C05 PDF BibTeX XML Cite \textit{N. Lungu} and \textit{M. Mureşan}, Prepr., ``Babeș-Bolyai'' Univ., Fac. Math. Phys., Res. Semin. 1986, No. 3, 239--244 (1986; Zbl 0705.34025) OpenURL
Desjarlais, M. P.; Sudan, R. N. Stochastic electron motion in magnetically insulated diodes. (English) Zbl 0602.70026 Phys. Fluids 29, 1245-1257 (1986). MSC: 70K50 70K05 78A35 70H25 70-08 PDF BibTeX XML Cite \textit{M. P. Desjarlais} and \textit{R. N. Sudan}, Phys. Fluids 29, 1245--1257 (1986; Zbl 0602.70026) Full Text: DOI OpenURL
Collins, D.; Savage, M. D.; Taylor, C. M. The influence of fluid inertia on the stability of a plain journal bearing incorporating a complete oil film. (English) Zbl 0597.76038 J. Fluid Mech. 168, 415-430 (1986). MSC: 76E17 76E99 76E30 76M99 PDF BibTeX XML Cite \textit{D. Collins} et al., J. Fluid Mech. 168, 415--430 (1986; Zbl 0597.76038) Full Text: DOI OpenURL
Lloyd, N. G. Limit cycles of certain polynomial systems. (English) Zbl 0587.34026 Nonlinear functional analysis and its applications, Proc. NATO Adv. Study Inst., Maratea/Italy 1985, NATO ASI Ser., Ser. C 173, 317-326 (1986). MSC: 34C05 PDF BibTeX XML OpenURL
Blows, T. R.; Lloyd, N. G. The number of small-amplitude limit cycles of Liénard equations. (English) Zbl 0532.34022 Math. Proc. Camb. Philos. Soc. 95, 359-366 (1984). Reviewer: J.H.Tian MSC: 34C05 PDF BibTeX XML Cite \textit{T. R. Blows} and \textit{N. G. Lloyd}, Math. Proc. Camb. Philos. Soc. 95, 359--366 (1984; Zbl 0532.34022) Full Text: DOI OpenURL