Demina, Maria V.; Valls, Claudia On the Poincaré problem and Liouvillian integrability of quadratic Liénard differential equations. (English) Zbl 07316379 Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 6, 3231-3251 (2020). Reviewer: Joan Torregrosa (Barcelona) MSC: 34C05 34C07 34C08 34C45 34A05 34A34 PDF BibTeX XML Cite \textit{M. V. Demina} and \textit{C. Valls}, Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 6, 3231--3251 (2020; Zbl 07316379) Full Text: DOI
Cao, Daomin; Wang, Guodong; Zhan, Weicheng Desingularization of vortices for two-dimensional steady Euler flows via the vorticity method. (English) Zbl 07269950 SIAM J. Math. Anal. 52, No. 6, 5363-5388 (2020). MSC: 76B47 76B03 35Q31 PDF BibTeX XML Cite \textit{D. Cao} et al., SIAM J. Math. Anal. 52, No. 6, 5363--5388 (2020; Zbl 07269950) Full Text: DOI
Valls, Clàudia Rational limit cycles on Bernoulli and Riccati equations. (English) Zbl 1448.34069 J. Geom. Phys. 155, Article ID 103705, 4 p. (2020). MSC: 34C05 34A34 34C07 34C08 34C25 PDF BibTeX XML Cite \textit{C. Valls}, J. Geom. Phys. 155, Article ID 103705, 4 p. (2020; Zbl 1448.34069) Full Text: DOI
Valls, Claudia On the polynomial solutions of generalized Riccati equations. (English) Zbl 1416.34010 Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 26, No. 2, 145-150 (2019). MSC: 34A34 34C07 34C08 PDF BibTeX XML Cite \textit{C. Valls}, Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 26, No. 2, 145--150 (2019; Zbl 1416.34010) Full Text: Link
Cheng, Minhua; Li, Chengzhi Periodic orbit of the pendulum with a small nonlinear damping. (English) Zbl 07303353 J. Appl. Anal. Comput. 8, No. 2, 649-654 (2018). MSC: 34C25 34C15 37C60 34C23 34E10 34C08 PDF BibTeX XML Cite \textit{M. Cheng} and \textit{C. Li}, J. Appl. Anal. Comput. 8, No. 2, 649--654 (2018; Zbl 07303353) Full Text: DOI
Le Gal, Olivier; Sanz, Fernando; Speissegger, Patrick Trajectories in interlaced integral pencils of 3-dimensional analytic vector fields are o-minimal. (English) Zbl 1418.37038 Trans. Am. Math. Soc. 370, No. 3, 2211-2229 (2018). Reviewer: Yoshitsugu Takei (Kyoto) MSC: 37C10 37C35 34M40 34C08 03C64 34M30 PDF BibTeX XML Cite \textit{O. Le Gal} et al., Trans. Am. Math. Soc. 370, No. 3, 2211--2229 (2018; Zbl 1418.37038) Full Text: DOI arXiv
Llibre, Jaume; Valls, Claudia Limit cycles for a variant of a generalized Riccati equation. (English) Zbl 1361.34031 Appl. Math. Lett. 68, 76-79 (2017). MSC: 34C07 34A34 34C08 34E10 PDF BibTeX XML Cite \textit{J. Llibre} and \textit{C. Valls}, Appl. Math. Lett. 68, 76--79 (2017; Zbl 1361.34031) Full Text: DOI
Gasull, A.; Geyer, A.; Mañosas, F. On the number of limit cycles for perturbed pendulum equations. (English) Zbl 1346.34029 J. Differ. Equations 261, No. 3, 2141-2167 (2016). Reviewer: Maite Grau (Lleida) MSC: 34C08 34C07 34C25 37G15 70K05 34C23 PDF BibTeX XML Cite \textit{A. Gasull} et al., J. Differ. Equations 261, No. 3, 2141--2167 (2016; Zbl 1346.34029) Full Text: DOI
Françoise, Jean-Pierre; Xiao, Dongmei Perturbation theory of a symmetric center within Liénard equations. (English) Zbl 1387.34088 J. Differ. Equations 259, No. 6, 2408-2429 (2015). MSC: 34E10 34C05 34A34 34C14 34A05 34C08 PDF BibTeX XML Cite \textit{J.-P. Françoise} and \textit{D. Xiao}, J. Differ. Equations 259, No. 6, 2408--2429 (2015; Zbl 1387.34088) Full Text: DOI
Broer, Henk; Levi, Mark; Simo, Carles Large scale radial stability density of Hill’s equation. (English) Zbl 1275.34077 Nonlinearity 26, No. 2, 565-589 (2013). Reviewer: Vasile Dragan (Bucureşti) MSC: 34D23 26B15 34C23 34C08 34C15 PDF BibTeX XML Cite \textit{H. Broer} et al., Nonlinearity 26, No. 2, 565--589 (2013; Zbl 1275.34077) Full Text: DOI
Chen, Kue-Hong; Lu, Mi-Cheng; Hsu, Hui-Mi Regularized meshless method analysis of the problem of obliquely incident water wave. (English) Zbl 1259.76040 Eng. Anal. Bound. Elem. 35, No. 3, 355-362 (2011). MSC: 76M25 76B15 65N80 PDF BibTeX XML Cite \textit{K.-H. Chen} et al., Eng. Anal. Bound. Elem. 35, No. 3, 355--362 (2011; Zbl 1259.76040) Full Text: DOI
Bonnin, Michele Existence, number, and stability of limit cycles in weakly dissipative, strongly nonlinear oscillators. (English) Zbl 1219.34043 Nonlinear Dyn. 62, No. 1-2, 321-332 (2010). Reviewer: M. A. M. Alwash (Culver City) MSC: 34C07 34C08 34C15 34C05 34C23 37G15 PDF BibTeX XML Cite \textit{M. Bonnin}, Nonlinear Dyn. 62, No. 1--2, 321--332 (2010; Zbl 1219.34043) Full Text: DOI
Françoise, Jean-Pierre The theory of limit cycles. (La théorie des cycles limites.) (English. French original) Zbl 1204.34001 Charpentier, Éric (ed.) et al., The scientific legacy of Poincaré. Transl. from the French by Joshua Bowman. Providence, RI: American Mathematical Society (AMS); London: London Mathematical Society (LMS) (ISBN 978-0-8218-4718-3/hbk). History of Mathematics 36, 87-97 (2010); translation from L’heritage scientifique de Poincaré, E. Charpertier (ed.) et al., Paris: Belin, 99-111 (2006). Reviewer: Klaus R. Schneider (Berlin) MSC: 34-02 34C05 34C07 34C08 34C15 PDF BibTeX XML
Śliwa, I.; Szlachetka, P.; Grygiel, K. Generation of strongly chaotic beats. (English) Zbl 1147.34319 Int. J. Bifurcation Chaos Appl. Sci. Eng. 18, No. 3, 835-840 (2008). MSC: 34C08 78A60 34C60 PDF BibTeX XML Cite \textit{I. Śliwa} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 18, No. 3, 835--840 (2008; Zbl 1147.34319) Full Text: DOI
Mahmoud, Gamal M.; Al-Kashif, M. A.; Farghaly, A. A. Chaotic and hyperchaotic attractors of a complex nonlinear system. (English) Zbl 1131.37036 J. Phys. A, Math. Theor. 41, No. 5, Article ID 055104, 12 p. (2008). MSC: 37D45 37C10 34C28 34C25 34C08 34D45 28A78 93D15 PDF BibTeX XML Cite \textit{G. M. Mahmoud} et al., J. Phys. A, Math. Theor. 41, No. 5, Article ID 055104, 12 p. (2008; Zbl 1131.37036) Full Text: DOI
Zhang, Tonghua; Tadé, Moses O.; Tian, Yu-Chu Linear estimate of the number of limit cycles for a class of nonlinear systems. (English) Zbl 1147.34318 Chaos Solitons Fractals 31, No. 4, 804-810 (2007). Reviewer: Valery A. Gaiko (Groningen) MSC: 34C07 34C05 34C08 34E10 PDF BibTeX XML Cite \textit{T. Zhang} et al., Chaos Solitons Fractals 31, No. 4, 804--810 (2007; Zbl 1147.34318) Full Text: DOI
Khukhunashvili, Z. V.; Khukhunashvili, Z. Z. Algebraic structure of space and field. (English) Zbl 0999.34031 Electron. J. Qual. Theory Differ. Equ. 2001, Paper No. 6, 52 p. (2001). MSC: 34C08 34A34 34C14 PDF BibTeX XML Cite \textit{Z. V. Khukhunashvili} and \textit{Z. Z. Khukhunashvili}, Electron. J. Qual. Theory Differ. Equ. 2001, Paper No. 6, 52 p. (2001; Zbl 0999.34031) Full Text: DOI EMIS EuDML
Penskoi, A. V. Generalized matrix Riccati equations with superposition formulae. (English) Zbl 0973.34004 J. Phys. A, Math. Gen. 34, No. 3, 609-615 (2001). MSC: 34A25 34A34 34C08 PDF BibTeX XML Cite \textit{A. V. Penskoi}, J. Phys. A, Math. Gen. 34, No. 3, 609--615 (2001; Zbl 0973.34004) Full Text: DOI
Gasull, Armengol; Llibre, Jaume; Mañosa, Víctor; Mañosas, Francesc The focus-centre problem for a type of degenerate system. (English) Zbl 0962.34067 Nonlinearity 13, No. 3, 699-729 (2000). Reviewer: Marco Sabatini (Trento) MSC: 34M35 PDF BibTeX XML Cite \textit{A. Gasull} et al., Nonlinearity 13, No. 3, 699--729 (2000; Zbl 0962.34067) Full Text: DOI
Briskin, M.; Francoise, J.-P.; Yomdin, Y. Center conditions, compositions of polynomials and moments on algebraic curves. (English) Zbl 0990.34017 Ergodic Theory Dyn. Syst. 19, No. 5, 1201-1220 (1999). Reviewer: Armengol Gasull (Bellaterra, Barcelona) MSC: 34B15 34A25 34A34 34C08 34C25 37C10 PDF BibTeX XML Cite \textit{M. Briskin} et al., Ergodic Theory Dyn. Syst. 19, No. 5, 1201--1220 (1999; Zbl 0990.34017) Full Text: DOI
Dumortier, Freddy; Smits, Bert Transition time analysis in singularly perturbed boundary value problems. (English) Zbl 0849.34019 Trans. Am. Math. Soc. 347, No. 10, 4129-4145 (1995). Reviewer: V.V.Strygin (Voronezh) MSC: 34B15 34C20 34E15 37G05 34E05 37G99 PDF BibTeX XML Cite \textit{F. Dumortier} and \textit{B. Smits}, Trans. Am. Math. Soc. 347, No. 10, 4129--4145 (1995; Zbl 0849.34019) Full Text: DOI
Yang, Yisong Vacuum decay of non-Abelian vortices. (English) Zbl 0743.35058 Math. Methods Appl. Sci. 15, No. 2, 79-88 (1992). MSC: 35Q40 81T13 81R40 PDF BibTeX XML Cite \textit{Y. Yang}, Math. Methods Appl. Sci. 15, No. 2, 79--88 (1992; Zbl 0743.35058) Full Text: DOI
Cao, Yusong; Schultz, William W.; Beck, Robert F. Three-dimensional desingularized boundary integral methods for potential problems. (English) Zbl 0723.76069 Int. J. Numer. Methods Fluids 12, No. 8, 785-803 (1991). MSC: 76M25 76B15 PDF BibTeX XML Cite \textit{Y. Cao} et al., Int. J. Numer. Methods Fluids 12, No. 8, 785--803 (1991; Zbl 0723.76069) Full Text: DOI
Cardin, Franco Morse families and constrained mechanical systems. Generalized hyperelastic materials. (English) Zbl 0752.73017 Meccanica 26, No. 2-3, 161-167 (1991). MSC: 74B20 70F20 PDF BibTeX XML Cite \textit{F. Cardin}, Meccanica 26, No. 2--3, 161--167 (1991; Zbl 0752.73017) Full Text: DOI
Turkington, Bruce On the evolution of a concentrated vortex in an ideal fluid. (English) Zbl 0623.76013 Arch. Ration. Mech. Anal. 97, 75-87 (1987). Reviewer: J.Burbea MSC: 76B47 35A20 76E30 PDF BibTeX XML Cite \textit{B. Turkington}, Arch. Ration. Mech. Anal. 97, 75--87 (1987; Zbl 0623.76013) Full Text: DOI
Berger, Melvyn S. Mathematical aspects of vorticity. (English) Zbl 0475.35074 Nonlinear partial differential equations and their applications, Coll. de France Semin., Vol. I, Res. Notes Math. 53, 52-75 (1981). MSC: 35Q99 47J05 35A20 PDF BibTeX XML
Berger, M. S.; Fraenkel, L. E. Nonlinear desingularization in certain free-boundary problems. (English) Zbl 0454.35087 Commun. Math. Phys. 77, 149-172 (1980). MSC: 35R35 35J99 PDF BibTeX XML Cite \textit{M. S. Berger} and \textit{L. E. Fraenkel}, Commun. Math. Phys. 77, 149--172 (1980; Zbl 0454.35087) Full Text: DOI
Berger, M. S.; Fraenkel, L. E. On nonlinear desingularization. (English) Zbl 0432.35015 Bull. Am. Math. Soc., New Ser. 2, 165-167 (1980). MSC: 35B32 35R35 35J65 35J70 PDF BibTeX XML Cite \textit{M. S. Berger} and \textit{L. E. Fraenkel}, Bull. Am. Math. Soc., New Ser. 2, 165--167 (1980; Zbl 0432.35015) Full Text: DOI