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34C05 Location of integral curves, singular points, limit cycles (41 articles)

• Onitsuka, Masakazu: Approximation of limit cycle of differential systems with variable coefficients. (English). Archivum Mathematicum, vol. 59 (2023), issue 1, pp. 85-97
• Berbache, Aziza: On limit cycles of piecewise differential systems formed by arbitrary linear systems and a class of quadratic systems. (English). Mathematica Bohemica, vol. 148 (2023), issue 4, pp. 617-629
• Kadeřábek, Zdeněk: Bautin bifurgation of a modified generalized Van der Pol-Mathieu equation. (English). Archivum Mathematicum, vol. 52 (2016), issue 1, pp. 49-70
• Liang, Hongtao; Tang, Yanxia; Li, Li; Wei, Zhouchao; Wang, Zhen: Degenerate Hopf bifurcations and the formation mechanism of chaos in the Qi 3-D four-wing chaotic system. (English). Kybernetika, vol. 49 (2013), issue 6, pp. 935-947
• Sáez, Eduardo; Szántó, Iván: Uniqueness of limit cycles bounded by two invariant parabolas. (English). Applications of Mathematics, vol. 57 (2012), issue 5, pp. 521-529
• Sáez, Eduardo; Stange, Eduardo; Szántó, Iván: Coexistence of small and large amplitude limit cycles of polynomial differential systems of degree four. (English). Czechoslovak Mathematical Journal, vol. 57 (2007), issue 1, pp. 105-114
• Adamec, Ladislav: A note on a generalization of Diliberto's Theorem for certain differential equations of higher dimension. (English). Applications of Mathematics, vol. 50 (2005), issue 2, pp. 93-101
• Zhao, Cheng-Dong; He, Qi-Min: On the center of the generalized Liénard system. (English). Czechoslovak Mathematical Journal, vol. 52 (2002), issue 4, pp. 817-832
• Adamec, Ladislav: A partial generalization of Diliberto’s theorem for certain DEs of higher dimension. (English). In: Kuben, J. and Vosmanský, J. (eds.): Equadiff 10, Czechoslovak International Conference on Differential Equations and Their Applications, Prague, August 27-31, 2001. [Part 2] Papers. Masaryk University, Brno, 2002. pp. 9-11
• Lichardová, Hana: The period of a whirling pendulum. (English). Mathematica Bohemica, vol. 126 (2001), issue 3, pp. 593-606
• Diblík, Josef; Růžičková, Miroslava: Existence of positive solutions of $n$-dimensional system of nonlinear differential equations entering into a singular point. (English). Archivum Mathematicum, vol. 36 (2000), issue 5, pp. 435-446
• Odani, Kenzi: On the limit cycle of the Liénard equation. (English). Archivum Mathematicum, vol. 36 (2000), issue 1, pp. 25-31
• Lichardová, Hana: Limit cycles in the equation of whirling pendulum with autonomous perturbation. (English). Applications of Mathematics, vol. 44 (1999), issue 4, pp. 271-288
• Brown, R. C.; Hinton, D. B.: Two separation criteria for second order ordinary or partial differential operators. (English). Mathematica Bohemica, vol. 124 (1999), issue 2, pp. 273-292
• Bartušek, Miroslav; Došlá, Zuzana; Graef, John R.: The nonlinear limit-point/limit-circle problem for higher order equations. (English). Archivum Mathematicum, vol. 34 (1998), issue 1, pp. 13-22
• Gaiko, Valery: Global qualitative investigation, limit cycle bifurcations and Applications of Polynomial Dynamical Systems. (English). In: Došlá, Z., Kuben, J. and Vosmanský, J. (eds.): Proceedings of Equadiff 9, Conference on Differential Equations and Their Applications, Brno, August 25-29, 1997. [Part 3] Papers. Masaryk University, Brno, 1998. pp. 123-130
• Odani, Kenzi: On the limit cycle of the van der Pol equation. (English). In: Došlá, Z., Kuben, J. and Vosmanský, J. (eds.): Proceedings of Equadiff 9, Conference on Differential Equations and Their Applications, Brno, August 25-29, 1997. [Part 3] Papers. Masaryk University, Brno, 1998. pp. 229-235
• Moravčík, Jozef: Some oscillatory properties of the perturbed linear differential equations of order $n$. (English). Archivum Mathematicum, vol. 31 (1995), issue 4, pp. 305-311
• Hricišáková, Daniela: Zovšeobecnená Liénardova diferenciálna rovnica. (Slovak) [Generalized Liénard differential equation]. Pokroky matematiky, fyziky a astronomie, vol. 39 (1994), issue 1, pp. 26-34
• Laitoch, Miroslav: First phases of the associated equation with parameters for the differential equation $y''=q(t)y$. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 33 (1994), issue 1, pp. 75-93
• Gustafson, Grant B.; Laitoch, Miroslav: Involutions and iterates of central dispersions. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 33 (1994), issue 1, pp. 29-37
• Klebanov, Boris S.: On $\omega$-limit sets of nonautonomous differential equations. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 35 (1994), issue 2, pp. 267-281
• Wang, Duo; Mao, Rei: Improved K-K algorithm for computing Lyapunov values. (English). In: Brunovský, Pavol and Medveď, Milan (eds.): Equadiff 8. Czech - Slovak Conference on Differential Equations and Their Applications. Bratislava, August 24-28, 1993. Mathematical Institute, Slovak Academy of Sciences, Bratislava, 1994. pp. 235-242
• Medveď, Milan: Oscillatory properties of some classes of nonlinear differential equations. (English). Mathematica Bohemica, vol. 117 (1992), issue 2, pp. 123-131
• Beneš, Karel: Dynamic systems described by differential equations with singularities of the type $frac00$ and their machine solving. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 30 (1991), issue 1, pp. 87-96
• Medveď, Milan: On a codimension 3 bifurcation of plane vector fields with $Z_2$ symmetry. (English). Czechoslovak Mathematical Journal, vol. 40 (1990), issue 2, pp. 295-310
• Conti, Roberto: On centers of type $B$ of polynomial systems. (English). Archivum Mathematicum, vol. 26 (1990), issue 2, pp. 93-99
• Conti, R.: On centers of type A and B of polynomial systems. (English). In: Kurzweil, Jaroslav (ed.): Equadiff 7. Proceedings of the 7th Czechoslovak Conference on Differential Equations and Their Applications held in Prague, 1989. BSB B.G. Teubner Verlagsgesellschaft, Leipzig, 1990. pp. 77-79
• Vrdoljak, Božo: On solutions of the Lagerstrom equation. (English). Archivum Mathematicum, vol. 24 (1988), issue 3, pp. 111-122
• Vlček, Vladimír: On the focal points of solutions of a certain fourth order differential equation. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 25 (1986), issue 1, pp. 97-115
• Reĭzinš, Linard Eduardovič: Нелокальные функции Ляпунова-Красовского. (Russian) [Nonlocal Lyapunov-Krasovski functions]. Časopis pro pěstování matematiky, vol. 111 (1986), issue 3, pp. 280-293
• Guggenheimer, H.: A Leighton-Borůvka formula for Morse conjugate points. (English). Archivum Mathematicum, vol. 21 (1985), issue 4, pp. 189-193
• Vlček, Vladimír: Conjugate points of solutions of an iterated differential equation of the $n$-th order. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 22 (1983), issue 1, pp. 115-130
• Klíč, Alois: Period doubling bifurcations in a two-box model of the Brusselator. (English). Aplikace matematiky, vol. 28 (1983), issue 5, pp. 335-343
• Kojecká, Jitka: Accompanying spaces to a linear two-dimensional space of continuous functions with a continuous first derivative. (English). Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika, vol. 21 (1982), issue 1, pp. 43-61
• Milota, Jaroslav: Differential growth models for microbial populations. (English). Aplikace matematiky, vol. 27 (1982), issue 1, pp. 1-16
• Mehri, B.: Periodic solution of certain second order differential equation. (English). Archivum Mathematicum, vol. 16 (1980), issue 1, pp. 39-44
• Vlček, Vladimír: On functions describing a distribution of zeros of solutions of an iterated linear differential equation of the fourth order. (English). Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika, vol. 18 (1979), issue 1, pp. 103-116
• Kojecká, Jitka; Netuka, Horymír: Einige Bemerkungen über Nullpunkte im bestimmten dreidimensionalen Raume stetiger Funktionen. (German) [A remark on zeros in a certain three dimensional space of continuous functions]. Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika, vol. 15 (1976), issue 1, pp. 51-55
• Brunovský, Pavol: Topologická klasifikácia diferenciálnych rovníc a štrukturálna stabilita. (Slovak) [Topological classification of differential equations and structural stability]. Pokroky matematiky, fyziky a astronomie, vol. 18 (1973), issue 5, pp. 271-281
• Brjuno, A. D.: Локальный метод в нелинейных резонансах. (Russian) [A local method in nonlinear resonances]. Archivum Mathematicum, vol. 8 (1972), issue 4, pp. 177-178