Sugie, Jitsuro; Ishibashi, Kazuki Limit cycles of a class of Liénard systems derived from state-dependent impulses. (English) Zbl 07563273 Nonlinear Anal., Hybrid Syst. 45, Article ID 101188, 16 p. (2022). MSC: 34A36 34A37 34C05 34C60 PDF BibTeX XML Cite \textit{J. Sugie} and \textit{K. Ishibashi}, Nonlinear Anal., Hybrid Syst. 45, Article ID 101188, 16 p. (2022; Zbl 07563273) Full Text: DOI OpenURL
Das, Tanmay; Acharyya, Muktish Transient behavior towards the stable limit cycle in the Sel’kov model of glycolysis: a physiological disorder. (English) Zbl 07456726 Physica A 567, Article ID 125684, 7 p. (2021). MSC: 82-XX PDF BibTeX XML Cite \textit{T. Das} and \textit{M. Acharyya}, Physica A 567, Article ID 125684, 7 p. (2021; Zbl 07456726) Full Text: DOI arXiv OpenURL
Roussarie, Robert Some applications of the Poincaré-Bendixson theorem. (English) Zbl 1480.37041 Qual. Theory Dyn. Syst. 20, No. 3, Paper No. 64, 17 p. (2021). Reviewer: Ioannis P. Stavroulakis (Ioannina) MSC: 37C75 37C25 PDF BibTeX XML Cite \textit{R. Roussarie}, Qual. Theory Dyn. Syst. 20, No. 3, Paper No. 64, 17 p. (2021; Zbl 1480.37041) Full Text: DOI OpenURL
Zhong, Shihong; Wang, Jinliang; Xia, Juandi; Li, You Spatiotemporal dynamics and pattern formations of an activator-substrate model with double saturation terms. (English) Zbl 1471.35030 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 9, Article ID 2150129, 27 p. (2021). MSC: 35B32 35K51 35K57 37L10 92D25 35B36 PDF BibTeX XML Cite \textit{S. Zhong} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 9, Article ID 2150129, 27 p. (2021; Zbl 1471.35030) Full Text: DOI OpenURL
Brauner, Claude-Michel; Roussarie, Robert; Shang, Peipei; Zhang, Linwan Existence of a traveling wave solution in a free interface problem with fractional order kinetics. (English) Zbl 1459.35408 J. Differ. Equations 281, 105-147 (2021). MSC: 35R35 35C07 34C05 34A26 35K57 35B35 35K40 80A25 PDF BibTeX XML Cite \textit{C.-M. Brauner} et al., J. Differ. Equations 281, 105--147 (2021; Zbl 1459.35408) Full Text: DOI arXiv OpenURL
Feng, Lirui; Wang, Yi; Wu, Jianhong Generic behavior of flows strongly monotone with respect to high-rank cones. (English) Zbl 1475.37033 J. Differ. Equations 275, 858-881 (2021). Reviewer: Smail Djebali (Algiers) MSC: 37C65 37C10 37C20 37C35 PDF BibTeX XML Cite \textit{L. Feng} et al., J. Differ. Equations 275, 858--881 (2021; Zbl 1475.37033) Full Text: DOI arXiv OpenURL
Abbad, Abir; Abdelmalek, Salem; Bendoukha, Samir; Gambino, Gaetana A generalized Degn-Harrison reaction-diffusion system: asymptotic stability and non-existence results. (English) Zbl 1454.35213 Nonlinear Anal., Real World Appl. 57, Article ID 103191, 28 p. (2021). MSC: 35K57 35K51 35B40 92D25 PDF BibTeX XML Cite \textit{A. Abbad} et al., Nonlinear Anal., Real World Appl. 57, Article ID 103191, 28 p. (2021; Zbl 1454.35213) Full Text: DOI OpenURL
Kennedy, Benjamin B. A periodic solution with non-simple oscillation for an equation with state-dependent delay and strictly monotonic negative feedback. (English) Zbl 1448.34133 Discrete Contin. Dyn. Syst., Ser. S 13, No. 1, 47-66 (2020). Reviewer: Ábel Garab (Szeged) MSC: 34K13 34K43 34K05 PDF BibTeX XML Cite \textit{B. B. Kennedy}, Discrete Contin. Dyn. Syst., Ser. S 13, No. 1, 47--66 (2020; Zbl 1448.34133) Full Text: DOI OpenURL
Clark, William; Bloch, Anthony; Colombo, Leonardo A Poincaré-Bendixson theorem for hybrid systems. (English) Zbl 1442.34072 Math. Control Relat. Fields 10, No. 1, 27-45 (2020). Reviewer: Anthony D. Osborne (Keele) MSC: 34C25 34A38 70K05 70K42 34C05 PDF BibTeX XML Cite \textit{W. Clark} et al., Math. Control Relat. Fields 10, No. 1, 27--45 (2020; Zbl 1442.34072) Full Text: DOI arXiv OpenURL
Clark, William; Bloch, Anthony A Poincaré-Bendixson theorem for hybrid dynamical systems on directed graphs. (English) Zbl 1436.37054 Math. Control Signals Syst. 32, No. 1, Paper No. 1, 18 p. (2020). MSC: 37E25 37C27 34A38 37C10 34A34 PDF BibTeX XML Cite \textit{W. Clark} and \textit{A. Bloch}, Math. Control Signals Syst. 32, No. 1, Paper No. 1, 18 p. (2020; Zbl 1436.37054) Full Text: DOI OpenURL
Niu, Lin; Wang, Yi Non-oscillation principle for eventually competitive and cooperative systems. (English) Zbl 1435.34037 Discrete Contin. Dyn. Syst., Ser. B 24, No. 12, 6481-6494 (2019). Reviewer: Sergei Yu. Pilyugin (St. Petersburg) MSC: 34C12 34D05 34D30 PDF BibTeX XML Cite \textit{L. Niu} and \textit{Y. Wang}, Discrete Contin. Dyn. Syst., Ser. B 24, No. 12, 6481--6494 (2019; Zbl 1435.34037) Full Text: DOI arXiv OpenURL
Dang, Quang A.; Hoang, Manh Tuan Complete global stability of a metapopulation model and its dynamically consistent discrete models. (English) Zbl 1419.37077 Qual. Theory Dyn. Syst. 18, No. 2, 461-475 (2019). MSC: 37N25 37C75 37M05 65L12 39A30 PDF BibTeX XML Cite \textit{Q. A. Dang} and \textit{M. T. Hoang}, Qual. Theory Dyn. Syst. 18, No. 2, 461--475 (2019; Zbl 1419.37077) Full Text: DOI OpenURL
Kennedy, Benjamin The Poincaré-Bendixson theorem for a class of delay equations with state-dependent delay and monotonic feedback. (English) Zbl 1420.34088 J. Differ. Equations 266, No. 4, 1865-1898 (2019). Reviewer: Zhanyuan Hou (London) MSC: 34K05 34K13 PDF BibTeX XML Cite \textit{B. Kennedy}, J. Differ. Equations 266, No. 4, 1865--1898 (2019; Zbl 1420.34088) Full Text: DOI OpenURL
Li, Xiaojie; Lv, Yunfei; Pei, Yongzhen Social behavior of group defense in a predator-prey system with delay. (English) Zbl 1418.92116 J. Biol. Syst. 26, No. 3, 399-419 (2018). MSC: 92D25 34D23 34C23 PDF BibTeX XML Cite \textit{X. Li} et al., J. Biol. Syst. 26, No. 3, 399--419 (2018; Zbl 1418.92116) Full Text: DOI OpenURL
Steinerberger, Stefan Fast escape in incompressible vector fields. (English) Zbl 1395.34018 Monatsh. Math. 186, No. 3, 525-537 (2018). Reviewer: Alexey O. Remizov (Palaiseau) MSC: 34A26 34C05 28A75 49Q15 PDF BibTeX XML Cite \textit{S. Steinerberger}, Monatsh. Math. 186, No. 3, 525--537 (2018; Zbl 1395.34018) Full Text: DOI arXiv OpenURL
Rao, Shodhan Stability analysis of the Michaelis-Menten approximation of a mixed mechanism of a phosphorylation system. (English) Zbl 1392.92035 Math. Biosci. 301, 159-166 (2018). MSC: 92C45 37B25 PDF BibTeX XML Cite \textit{S. Rao}, Math. Biosci. 301, 159--166 (2018; Zbl 1392.92035) Full Text: DOI OpenURL
Ding, Wei; Huang, Wenzhang Global dynamics of a ratio-dependent Holling-Tanner predator-prey system. (English) Zbl 1384.34056 J. Math. Anal. Appl. 460, No. 1, 458-475 (2018). Reviewer: Klaus R. Schneider (Berlin) MSC: 34C60 92D25 34C05 34D20 PDF BibTeX XML Cite \textit{W. Ding} and \textit{W. Huang}, J. Math. Anal. Appl. 460, No. 1, 458--475 (2018; Zbl 1384.34056) Full Text: DOI OpenURL
Li, Jie; He, Zhirong Global monostability of genetic toggle switch system. (Chinese. English summary) Zbl 1399.34131 J. Sichuan Univ., Nat. Sci. Ed. 54, No. 4, 675-678 (2017). MSC: 34C60 34D23 34C05 PDF BibTeX XML Cite \textit{J. Li} and \textit{Z. He}, J. Sichuan Univ., Nat. Sci. Ed. 54, No. 4, 675--678 (2017; Zbl 1399.34131) Full Text: DOI OpenURL
Fujimoto, Kōdai; Yamaoka, Naoto Existence and nonexistence of limit cycles for Liénard-type equations with bounded nonlinearities and \(\phi\)-Laplacian. (English) Zbl 1376.34029 Commun. Contemp. Math. 19, No. 6, Article ID 1650057, 21 p. (2017). MSC: 34C05 PDF BibTeX XML Cite \textit{K. Fujimoto} and \textit{N. Yamaoka}, Commun. Contemp. Math. 19, No. 6, Article ID 1650057, 21 p. (2017; Zbl 1376.34029) Full Text: DOI OpenURL
Ramazi, Pouria; Jardón-Kojakhmetov, Hildeberto; Cao, Ming Limit sets within curves where trajectories converge to. (English) Zbl 1418.37047 Appl. Math. Lett. 68, 94-100 (2017). MSC: 37C75 37C10 37C20 37C15 34C07 PDF BibTeX XML Cite \textit{P. Ramazi} et al., Appl. Math. Lett. 68, 94--100 (2017; Zbl 1418.37047) Full Text: DOI OpenURL
Hatvani, László On the global attractivity and asymptotic stability for autonomous systems of differential equations on the plane. (English) Zbl 1369.34077 Proc. Am. Math. Soc. 145, No. 3, 1121-1129 (2017). Reviewer: Daniela Danciu (Craiova) MSC: 34D23 34D20 PDF BibTeX XML Cite \textit{L. Hatvani}, Proc. Am. Math. Soc. 145, No. 3, 1121--1129 (2017; Zbl 1369.34077) Full Text: DOI OpenURL
Osuna, Osvaldo; Santana, Noemi A note on the limit cycles for certain two-dimensional systems. (English) Zbl 1433.34044 Aguilar, M. (ed.) et al., Memorias de la Sociedad Matemática Mexicana. Mexico City: Sociedad Matemática Mexicana; Mexico City: Instituto de Matemáticas, UNAM. Aportaciones Mat., Comun. 50, 37-46 (2016). MSC: 34C05 34D20 PDF BibTeX XML Cite \textit{O. Osuna} and \textit{N. Santana}, Aportaciones Mat., Comun. 50, 37--46 (2016; Zbl 1433.34044) OpenURL
van den Berg, J. B.; Munaò, S.; Vandervorst, R. C. A. M. The Poincaré-Bendixson theorem and the non-linear Cauchy-Riemann equations. (English) Zbl 1415.35051 Physica D 334, 19-28 (2016). MSC: 35B40 37C10 35F50 PDF BibTeX XML Cite \textit{J. B. van den Berg} et al., Physica D 334, 19--28 (2016; Zbl 1415.35051) Full Text: DOI arXiv OpenURL
Papadimitriou, Christos H.; Vishnoi, Nisheeth K. On the computational complexity of limit cycles in dynamical systems. (English) Zbl 1334.68103 Proceedings of the 7th ACM conference on innovations in theoretical computer science, ITCS’16, Cambridge, MA, USA, January 14–16, 2016. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-4057-1). 403-403 (2016). MSC: 68Q25 37C10 68Q17 PDF BibTeX XML Cite \textit{C. H. Papadimitriou} and \textit{N. K. Vishnoi}, in: Proceedings of the 7th ACM conference on innovations in theoretical computer science, ITCS'16, Cambridge, MA, USA, January 14--16, 2016. New York, NY: Association for Computing Machinery (ACM). 403--403 (2016; Zbl 1334.68103) Full Text: DOI arXiv OpenURL
Abate, Marco; Bianchi, Fabrizio A Poincaré-Bendixson theorem for meromorphic connections on Riemann surfaces. (English) Zbl 1332.32021 Math. Z. 282, No. 1-2, 247-272 (2016). MSC: 32H50 34M03 34M40 37F99 PDF BibTeX XML Cite \textit{M. Abate} and \textit{F. Bianchi}, Math. Z. 282, No. 1--2, 247--272 (2016; Zbl 1332.32021) Full Text: DOI arXiv OpenURL
Yang, Lu-Xing; Yang, Xiaofan The impact of nonlinear infection rate on the spread of computer virus. (English) Zbl 1348.68026 Nonlinear Dyn. 82, No. 1-2, 85-95 (2015). MSC: 68M99 34D20 34D23 PDF BibTeX XML Cite \textit{L.-X. Yang} and \textit{X. Yang}, Nonlinear Dyn. 82, No. 1--2, 85--95 (2015; Zbl 1348.68026) Full Text: DOI OpenURL
González-Ramírez, L. Rocío; Osuna, Osvaldo; Santaella-Forero, Rubén On the existence of limit cycles for some planar vector fields. (English) Zbl 1378.34047 Rev. Integr. 33, No. 2, 191-198 (2015). Reviewer: Klaus R. Schneider (Berlin) MSC: 34C05 PDF BibTeX XML Cite \textit{L. R. González-Ramírez} et al., Rev. Integr. 33, No. 2, 191--198 (2015; Zbl 1378.34047) Full Text: DOI OpenURL
Slijepčević, Siniša Entropy of scalar reaction-diffusion equations. (English) Zbl 1349.37080 Math. Bohem. 139, No. 4, 597-605 (2014). MSC: 37L30 37A35 37B40 35B40 PDF BibTeX XML Cite \textit{S. Slijepčević}, Math. Bohem. 139, No. 4, 597--605 (2014; Zbl 1349.37080) Full Text: Link OpenURL
Alonso-González, C.; Cano, F.; Rosas, R. Infinitesimal Poincaré-Bendixson problem in dimension 3. (English) Zbl 1359.37041 Int. Math. Res. Not. 2014, No. 21, 5994-6019 (2014). Reviewer: Jan Andres (Olomouc) MSC: 37C10 58K45 37D15 PDF BibTeX XML Cite \textit{C. Alonso-González} et al., Int. Math. Res. Not. 2014, No. 21, 5994--6019 (2014; Zbl 1359.37041) Full Text: DOI arXiv OpenURL
Bánhelyi, Balázs; Csendes, Tibor; Krisztin, Tibor; Neumaier, Arnold Global attractivity of the zero solution for Wright’s equation. (English) Zbl 1301.34094 SIAM J. Appl. Dyn. Syst. 13, No. 1, 537-563 (2014). MSC: 34K25 34K13 34K20 65G20 65L03 PDF BibTeX XML Cite \textit{B. Bánhelyi} et al., SIAM J. Appl. Dyn. Syst. 13, No. 1, 537--563 (2014; Zbl 1301.34094) Full Text: DOI Link OpenURL
Terry, Alan J. A predator-prey model with generic birth and death rates for the predator. (English) Zbl 1314.92148 Math. Biosci. 248, 57-66 (2014). MSC: 92D25 PDF BibTeX XML Cite \textit{A. J. Terry}, Math. Biosci. 248, 57--66 (2014; Zbl 1314.92148) Full Text: DOI OpenURL
Ajallooeian, Mostafa; van den Kieboom, Jesse; Mukovskiy, Albert; Giese, Martin A.; Ijspeert, Auke J. A general family of morphed nonlinear phase oscillators with arbitrary limit cycle shape. (English) Zbl 1285.34025 Physica D 263, 41-56 (2013). MSC: 34C15 34C05 34C28 PDF BibTeX XML Cite \textit{M. Ajallooeian} et al., Physica D 263, 41--56 (2013; Zbl 1285.34025) Full Text: DOI Link OpenURL
Wu, Yuhai; Han, Maoan On the number and distributions of limit cycles of a planar quartic vector field. (English) Zbl 1270.34053 Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 4, Article ID 1350069, 23 p. (2013). MSC: 34C07 34E10 34D20 34C37 PDF BibTeX XML Cite \textit{Y. Wu} and \textit{M. Han}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 4, Article ID 1350069, 23 p. (2013; Zbl 1270.34053) Full Text: DOI OpenURL
Hsu, Sze-Bi Ordinary differential equations with applications. 2nd ed. (English) Zbl 1285.34001 Series on Applied Mathematics (Singapore) 21. Hackensack, NJ: World Scientific (ISBN 978-981-4452-90-8/hbk). xiii, 297 p. (2013). Reviewer: Antonio Cañada Villar (Granada) MSC: 34-01 37-01 PDF BibTeX XML Cite \textit{S.-B. Hsu}, Ordinary differential equations with applications. 2nd ed. Hackensack, NJ: World Scientific (2013; Zbl 1285.34001) Full Text: DOI OpenURL
Ciesielski, Krzysztof The Poincaré-Bendixson theorem: from Poincaré to the XXIst century. (English) Zbl 1417.37001 Cent. Eur. J. Math. 10, No. 6, 2110-2128 (2012). MSC: 37-01 37Cxx 34Cxx PDF BibTeX XML Cite \textit{K. Ciesielski}, Cent. Eur. J. Math. 10, No. 6, 2110--2128 (2012; Zbl 1417.37001) Full Text: DOI Link OpenURL
Bright, Ido A reduction of topological infinite-horizon optimization to periodic optimization in a class of compact 2-manifolds. (English) Zbl 1244.49004 J. Math. Anal. Appl. 394, No. 1, 84-101 (2012). MSC: 49J15 49Q20 34K13 PDF BibTeX XML Cite \textit{I. Bright}, J. Math. Anal. Appl. 394, No. 1, 84--101 (2012; Zbl 1244.49004) Full Text: DOI OpenURL
Hu, Yingjing; Duan, Lixia; Huang, Yi; Wu, Yuhai On the perturbations of a Hamiltonian system. (English) Zbl 1217.34047 Comput. Math. Appl. 61, No. 4, 773-782 (2011). MSC: 34C05 34C23 37C27 PDF BibTeX XML Cite \textit{Y. Hu} et al., Comput. Math. Appl. 61, No. 4, 773--782 (2011; Zbl 1217.34047) Full Text: DOI OpenURL
Abate, Marco Homogeneous vector fields and meromorphic connections. (English) Zbl 1266.32032 Ruzhansky, Michael (ed.) et al., Progress in analysis and its applications. Proceedings of the 7th international ISAAC congress held at the Imperial College London, London, UK, July 13–18, 2009. Hackensack, NJ: World Scientific (ISBN 978-981-4313-16-2/hbk; 978-981-4313-17-9/ebook). 523-529 (2010). MSC: 32M25 32H50 37F75 PDF BibTeX XML Cite \textit{M. Abate}, in: Progress in analysis and its applications. Proceedings of the 7th international ISAAC congress held at the Imperial College London, London, UK, July 13--18, 2009. Hackensack, NJ: World Scientific. 523--529 (2010; Zbl 1266.32032) Full Text: DOI Link OpenURL
Coatléven, Julien; Altafini, Claudio A kinetic mechanism inducing oscillations in simple chemical reactions networks. (English) Zbl 1259.37057 Math. Biosci. Eng. 7, No. 2, 301-312 (2010). MSC: 37N25 37G15 92C45 PDF BibTeX XML Cite \textit{J. Coatléven} and \textit{C. Altafini}, Math. Biosci. Eng. 7, No. 2, 301--312 (2010; Zbl 1259.37057) Full Text: DOI Link OpenURL
Yi, Taishan; Chen, Yuming; Wu, Jianhong Periodic solutions and the global attractor in a system of delay differential equations. (English) Zbl 1229.34110 SIAM J. Math. Anal. 42, No. 1, 24-63 (2010). Reviewer: Gisèle M. Mophou (Pointe-à-Pitre) MSC: 34K13 34K25 PDF BibTeX XML Cite \textit{T. Yi} et al., SIAM J. Math. Anal. 42, No. 1, 24--63 (2010; Zbl 1229.34110) Full Text: DOI OpenURL
Shestakov, A. A.; Druzhinina, O. V. The asymptotic rigidity of a compact invariant set of a dynamic system stable in the Poisson sense. (English. Russian original) Zbl 1183.37025 Dokl. Phys. 54, No. 11, 512-515 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 429, No. 2, 191-195 (2009). MSC: 37B25 34B20 PDF BibTeX XML Cite \textit{A. A. Shestakov} and \textit{O. V. Druzhinina}, Dokl. Phys. 54, No. 11, 512--515 (2009; Zbl 1183.37025); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 429, No. 2, 191--195 (2009) Full Text: DOI OpenURL
Hsu, Cheng-Hsiung; Yang, Suh-Yuh; Yang, Ting-Hui; Yang, Tzi-Sheng Existence of periodic solutions for a system of delay differential equations. (English) Zbl 1189.34137 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, 6222-6231 (2009). Reviewer: Ivan Ginchev (Varese) MSC: 34K13 34K20 92B20 PDF BibTeX XML Cite \textit{C.-H. Hsu} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, 6222--6231 (2009; Zbl 1189.34137) Full Text: DOI OpenURL
Pokrovskii, A. V.; Pokrovskiy, A. A.; Zhezherun, A. A corollary of the Poincaré-Bendixson theorem and periodic canards. (English) Zbl 1229.34088 J. Differ. Equations 247, No. 12, 3283-3294 (2009). Reviewer: Klaus R. Schneider (Berlin) MSC: 34E17 34C26 34E15 PDF BibTeX XML Cite \textit{A. V. Pokrovskii} et al., J. Differ. Equations 247, No. 12, 3283--3294 (2009; Zbl 1229.34088) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{M. Bayat} and \textit{B. Mehri}, Appl. Math. Lett. 22, No. 8, 1292--1296 (2009; Zbl 1173.34327) Full Text: DOI OpenURL
Demuner, D. P.; Federson, M.; Gutierrez, C. The Poincaré-Bendixson theorem on the Klein bottle for continuous vector fields. (English) Zbl 1191.37013 Discrete Contin. Dyn. Syst. 25, No. 2, 495-509 (2009). Reviewer: Armengol Gasull (Barcelona) MSC: 37C10 34C05 37C27 37C50 PDF BibTeX XML Cite \textit{D. P. Demuner} et al., Discrete Contin. Dyn. Syst. 25, No. 2, 495--509 (2009; Zbl 1191.37013) Full Text: DOI OpenURL
Ahmad, Shair; Tineo, Antonio Three-dimensional population systems. (English) Zbl 1154.34356 Nonlinear Anal., Real World Appl. 9, No. 4, 1607-1611 (2008). MSC: 34D45 34D05 PDF BibTeX XML Cite \textit{S. Ahmad} and \textit{A. Tineo}, Nonlinear Anal., Real World Appl. 9, No. 4, 1607--1611 (2008; Zbl 1154.34356) Full Text: DOI OpenURL
Gao, Yong-Xi; Wu, Yu-Hai; Tian, Li-Xin Bifurcations of limit cycles in a perturbed quintic Hamiltonian system with six double homoclinic loops. (English) Zbl 1159.34032 Acta Math. Appl. Sin., Engl. Ser. 24, No. 2, 313-328 (2008). Reviewer: Eugene Ershov (St. Petersburg) MSC: 34C23 34C07 34C37 37G15 37B20 PDF BibTeX XML Cite \textit{Y.-X. Gao} et al., Acta Math. Appl. Sin., Engl. Ser. 24, No. 2, 313--328 (2008; Zbl 1159.34032) Full Text: DOI OpenURL
Calitoiu, D.; Oommen, B. J.; Nussbaum, D. Spikes annihilation in the Hodgkin-Huxley neuron. (English) Zbl 1146.92006 Biol. Cybern. 98, No. 3, 239-257 (2008). MSC: 92C20 34C60 PDF BibTeX XML Cite \textit{D. Calitoiu} et al., Biol. Cybern. 98, No. 3, 239--257 (2008; Zbl 1146.92006) Full Text: DOI OpenURL
Yang, Ciann-Dong; Wei, Chia-Hung Strong chaos in one-dimensional quantum system. (English) Zbl 1149.81315 Chaos Solitons Fractals 37, No. 4, 988-1001 (2008). MSC: 81Q50 PDF BibTeX XML Cite \textit{C.-D. Yang} and \textit{C.-H. Wei}, Chaos Solitons Fractals 37, No. 4, 988--1001 (2008; Zbl 1149.81315) Full Text: DOI OpenURL
Bonotto, E. M.; Federson, M. Limit sets and the Poincaré-Bendixson theorem in impulsive semidynamical systems. (English) Zbl 1143.37014 J. Differ. Equations 244, No. 9, 2334-2349 (2008). Reviewer: Ludvík Janoš (Claremont) MSC: 37B99 34C05 54H20 34A37 PDF BibTeX XML Cite \textit{E. M. Bonotto} and \textit{M. Federson}, J. Differ. Equations 244, No. 9, 2334--2349 (2008; Zbl 1143.37014) Full Text: DOI OpenURL
Wu, Yuhai; Han, Maoan; Chen, Xianfeng On the bifurcation of double homoclinic loops of a cubic system. (English) Zbl 1144.34029 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 8, 2487-2494 (2008). Reviewer: Eugene Ershov (St. Petersburg) MSC: 34C37 34C23 34C05 PDF BibTeX XML Cite \textit{Y. Wu} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 8, 2487--2494 (2008; Zbl 1144.34029) Full Text: DOI OpenURL
Lobanova, O. A.; Sadovskii, B. N. On two-dimensional dynamical systems with a constraint. (English. Russian original) Zbl 1131.34305 Differ. Equ. 43, No. 4, 460-468 (2007); translation from Differ. Uravn. 43, No. 4, 449-456 (2007). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C05 PDF BibTeX XML Cite \textit{O. A. Lobanova} and \textit{B. N. Sadovskii}, Differ. Equ. 43, No. 4, 460--468 (2007; Zbl 1131.34305); translation from Differ. Uravn. 43, No. 4, 449--456 (2007) Full Text: DOI OpenURL
Hsu, Sze-Bi Ordinary differential equations with applications. (English) Zbl 1120.34002 Series on Applied Mathematics (Singapore) 16. Hackensack, NJ: World Scientific (ISBN 981-256-319-9/hbk). ix, 244 p. (2006). Reviewer: Behzad Djafari-Rouhani (El-Paso) MSC: 34-01 PDF BibTeX XML Cite \textit{S.-B. Hsu}, Ordinary differential equations with applications. Hackensack, NJ: World Scientific (2006; Zbl 1120.34002) OpenURL
Alvarez-Ramirez, Jose; Delgado-Fernandez, Joaquin; Espinosa-Paredes, Gilberto The origin of a continuous two-dimensional “chaotic” dynamics. (English) Zbl 1093.37501 Int. J. Bifurcation Chaos Appl. Sci. Eng. 15, No. 9, 3023-3029 (2005). MSC: 37D45 34C28 37C10 PDF BibTeX XML Cite \textit{J. Alvarez-Ramirez} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 15, No. 9, 3023--3029 (2005; Zbl 1093.37501) Full Text: DOI OpenURL
Ito, Toshikazu; Scárdua, Bruno On holomorphic foliations transverse to spheres. (English) Zbl 1089.32026 Mosc. Math. J. 5, No. 2, 379-397 (2005). Reviewer: Filippo Bracci (Roma) MSC: 32S65 37D99 57R30 PDF BibTeX XML Cite \textit{T. Ito} and \textit{B. Scárdua}, Mosc. Math. J. 5, No. 2, 379--397 (2005; Zbl 1089.32026) OpenURL
Dimitrov, Dobromir T.; Kojouharov, Hristo V. Analysis and numerical simulation of phytoplankton-nutrient systems with nutrient loss. (English) Zbl 1075.92048 Math. Comput. Simul. 70, No. 1, 33-43 (2005). MSC: 92D40 34C60 65L12 37N25 PDF BibTeX XML Cite \textit{D. T. Dimitrov} and \textit{H. V. Kojouharov}, Math. Comput. Simul. 70, No. 1, 33--43 (2005; Zbl 1075.92048) Full Text: DOI OpenURL
Hetzer, Georg; Shen, Wenxian Two species competition with an inhibitor involved. (English) Zbl 1073.34053 Discrete Contin. Dyn. Syst. 12, No. 1, 39-57 (2005). Reviewer: Cristian Vladimirescu (Craiova) MSC: 34D05 34C12 92D25 PDF BibTeX XML Cite \textit{G. Hetzer} and \textit{W. Shen}, Discrete Contin. Dyn. Syst. 12, No. 1, 39--57 (2005; Zbl 1073.34053) Full Text: DOI OpenURL
Escobedo, M.; Mischler, S.; Rodriguez Ricard, M. On self-similarity and stationary problem for fragmentation and coagulation models. (English) Zbl 1130.35025 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 22, No. 1, 99-125 (2005). MSC: 35F30 35B40 60G18 60K35 82C99 PDF BibTeX XML Cite \textit{M. Escobedo} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 22, No. 1, 99--125 (2005; Zbl 1130.35025) Full Text: DOI Numdam Numdam EuDML OpenURL
Dimitrov, Dobromir T.; Kojouharov, Hristo V. Complete mathematical analysis of predator-prey models with linear prey growth and Beddington-DeAngelis functional response. (English) Zbl 1057.92050 Appl. Math. Comput. 162, No. 2, 523-538 (2005). MSC: 92D40 34C60 34D05 37N25 92D25 PDF BibTeX XML Cite \textit{D. T. Dimitrov} and \textit{H. V. Kojouharov}, Appl. Math. Comput. 162, No. 2, 523--538 (2005; Zbl 1057.92050) Full Text: DOI OpenURL
Lu, Zhiqi; Li, Haiyin; Li, Jing Global analysis of a ratio-dependent predator-prey system: A case for both prey and predator with density restrict. (English) Zbl 1040.92048 J. Henan Norm. Univ., Nat. Sci. 31, No. 3, 7-13 (2003). MSC: 92D40 37N25 34C60 PDF BibTeX XML Cite \textit{Z. Lu} et al., J. Henan Norm. Univ., Nat. Sci. 31, No. 3, 7--13 (2003; Zbl 1040.92048) OpenURL
Wang, Zhongying; Liu, Qiuju Global stability of the positive equilibrium for a class of reciprocally interfered predator-prey system. (Chinese. English summary) Zbl 1041.34040 J. Henan Norm. Univ., Nat. Sci. 31, No. 1, 104-106 (2003). MSC: 34D23 PDF BibTeX XML Cite \textit{Z. Wang} and \textit{Q. Liu}, J. Henan Norm. Univ., Nat. Sci. 31, No. 1, 104--106 (2003; Zbl 1041.34040) OpenURL
Asarin, Eugene; Schneider, Gerardo; Yovine, Sergio Towards computing phase portraits of polygonal differential inclusions. (English) Zbl 1054.93030 Tomlin, Claire J. (ed.) et al., Hybrid systems: computation and control. 5th international workshop, HSCC 2002, Stanford, CA, USA, March 25–27, 2002. Proceedings. Berlin: Springer (ISBN 3-540-43321-X). Lect. Notes Comput. Sci. 2289, 49-61 (2002). Reviewer: Do Van Luu (Hanoi) MSC: 93C30 93B05 68Q45 34C07 34A60 PDF BibTeX XML Cite \textit{E. Asarin} et al., Lect. Notes Comput. Sci. 2289, 49--61 (2002; Zbl 1054.93030) Full Text: Link OpenURL
Ma, Tian; Wang, Shouhong Structural classification and stability of divergence-free vector fields. (English) Zbl 1012.57042 Physica D 171, No. 1-2, 107-126 (2002). Reviewer: Zbigniew Hajto (Barcelona) MSC: 57R25 37N10 76D99 PDF BibTeX XML Cite \textit{T. Ma} and \textit{S. Wang}, Physica D 171, No. 1--2, 107--126 (2002; Zbl 1012.57042) Full Text: DOI OpenURL
Ma, Tian; Wang, Shouhong Global structure of 2-D incompressible flows. (English) Zbl 1013.37049 Discrete Contin. Dyn. Syst. 7, No. 2, 431-445 (2001). Reviewer: Peter Zabreiko (Minsk) MSC: 37N10 37C10 PDF BibTeX XML Cite \textit{T. Ma} and \textit{S. Wang}, Discrete Contin. Dyn. Syst. 7, No. 2, 431--445 (2001; Zbl 1013.37049) Full Text: DOI Link OpenURL
Maccari, Attilio Bifurcation analysis of parametrically excited Rayleigh–Liénard oscillators. (English) Zbl 1020.70012 Nonlinear Dyn. 25, No. 4, 293-316 (2001). Reviewer: H.Troger (Wien) MSC: 70K50 70K20 PDF BibTeX XML Cite \textit{A. Maccari}, Nonlinear Dyn. 25, No. 4, 293--316 (2001; Zbl 1020.70012) Full Text: DOI OpenURL
Krisztin, Tibor; Arino, Ovide The two-dimensional attractor of a differential equation with state-dependent delay. (English) Zbl 1016.34075 J. Dyn. Differ. Equations 13, No. 3, 453-522 (2001). Reviewer: Eduardo Liz (Vigo) MSC: 34K25 34K13 37C70 PDF BibTeX XML Cite \textit{T. Krisztin} and \textit{O. Arino}, J. Dyn. Differ. Equations 13, No. 3, 453--522 (2001; Zbl 1016.34075) Full Text: DOI OpenURL
Matveev, Alexey S.; Savkin, Andrey V. Qualitative theory of hybrid dynamical systems. (English) Zbl 1052.93004 Control Engineering. Boston, MA: Birkhäuser (ISBN 0-8176-4141-6/hbk). x, 348 p. (2000). Reviewer: A. Akutowicz (Berlin) MSC: 93-02 93C30 93B12 93C65 93D20 37B20 37C25 90B22 PDF BibTeX XML Cite \textit{A. S. Matveev} and \textit{A. V. Savkin}, Qualitative theory of hybrid dynamical systems. Boston, MA: Birkhäuser (2000; Zbl 1052.93004) OpenURL
Büger, Matthias Periodic orbits and attractors for autonomous reaction-diffusion systems. (English) Zbl 0973.35039 Fiedler, B. (ed.) et al., International conference on differential equations. Proceedings of the conference, Equadiff ’99, Berlin, Germany, August 1-7, 1999. Vol. 1. Singapore: World Scientific. 735-737 (2000). Reviewer: Serguei Zelik (Moskva) MSC: 35B41 35K57 35B10 35B40 PDF BibTeX XML Cite \textit{M. Büger}, in: International conference on differential equations. Proceedings of the conference, Equadiff '99, Berlin, Germany, August 1--7, 1999. Vol. 1. Singapore: World Scientific. 735--737 (2000; Zbl 0973.35039) OpenURL
Chang, Sung Kag; Chang, Ho Soog Existence of periodic solutions to nonlinear systems of a generalized Liénard type. (English) Zbl 0962.34033 Kyungpook Math. J. 39, No. 2, 351-365 (1999). Reviewer: P.Smith (Keele) MSC: 34C25 PDF BibTeX XML Cite \textit{S. K. Chang} and \textit{H. S. Chang}, Kyungpook Math. J. 39, No. 2, 351--365 (1999; Zbl 0962.34033) OpenURL
Hsieh, Po-Fang; Sibuya, Yasutaka Basic theory of ordinary differential equations. (English) Zbl 0924.34001 Universitext. New York, NY: Springer. xi, 468 p. (1999). Reviewer: L.Janos (Kent/Ohio) MSC: 34-01 34B24 34A12 34A30 34A25 34D05 34D20 PDF BibTeX XML Cite \textit{P.-F. Hsieh} and \textit{Y. Sibuya}, Basic theory of ordinary differential equations. New York, NY: Springer (1999; Zbl 0924.34001) OpenURL
Qin, Siyi; Zhu, Deming Normal nonhyperbolic invariant manifold and invariant tori bifurcation. (Chinese. English summary) Zbl 0921.34045 Appl. Math., Ser. A (Chin. Ed.) 13, No. 4, 371-380 (1998). MSC: 34C30 37D99 37G99 34C29 34C45 34C23 PDF BibTeX XML Cite \textit{S. Qin} and \textit{D. Zhu}, Appl. Math., Ser. A (Chin. Ed.) 13, No. 4, 371--380 (1998; Zbl 0921.34045) OpenURL
Erle, Dieter A boundedness theorem with application to oscillation of autocatalytic chemical reactions. (English) Zbl 0927.92039 J. Math. Chem. 24, No. 4, 365-378 (1998). MSC: 92E20 37N99 34C05 37N20 PDF BibTeX XML Cite \textit{D. Erle}, J. Math. Chem. 24, No. 4, 365--378 (1998; Zbl 0927.92039) Full Text: DOI OpenURL
Filippov, V. V. Basic topological structures of ordinary differential equations. Transl. from the Russian. Completely rev. and updated ed. (English) Zbl 0905.34001 Mathematics and its Applications (Dordrecht). 432. Dordrecht: Kluwer Academic Publishers. iv, 516 p. (1998). Reviewer: L.Janos (Kent/Ohio) MSC: 34-02 34-01 PDF BibTeX XML Cite \textit{V. V. Filippov}, Basic topological structures of ordinary differential equations. Transl. from the Russian. Completely rev. and updated ed. Dordrecht: Kluwer Academic Publishers (1998; Zbl 0905.34001) OpenURL
Chi, Chia-Wei; Hsu, Sze-Bi; Wu, Lih-Ing On the asymmetric May-Leonard model of three competing species. (English) Zbl 0919.92036 SIAM J. Appl. Math. 58, No. 1, 211-226 (1998). MSC: 92D40 34D05 34C23 34Cxx PDF BibTeX XML Cite \textit{C.-W. Chi} et al., SIAM J. Appl. Math. 58, No. 1, 211--226 (1998; Zbl 0919.92036) Full Text: DOI OpenURL
Fujimoto, Takao; Fujimoto, Yoshihisa A weak version of Poincaré-Bendixson type theorems for \(n\)-dimensional spaces. (English) Zbl 0938.34019 RIMS Kokyuroku 987, 1-5 (1997). Reviewer: J.Hainzl (Freiburg) MSC: 34C05 34C25 PDF BibTeX XML Cite \textit{T. Fujimoto} and \textit{Y. Fujimoto}, RIMS Kokyuroku 987, 1--5 (1997; Zbl 0938.34019) OpenURL
Karakostas, George A local attractor for the planar system \(\dot x=y, \dot y=-F (x,y)\). (English) Zbl 0927.34039 Sivasundaram, S. (ed.) et al., Advances in nonlinear dynamics. Langhorne, PA: Gordon and Breach. Stab. Control Theory Methods Appl. 5, 71-77 (1997). Reviewer: V.Dragan (Bucureşti) MSC: 34D45 34C25 PDF BibTeX XML Cite \textit{G. Karakostas}, Stab. Control Theory Methods Appl. 5, 71--77 (1997; Zbl 0927.34039) OpenURL
Ham, YoonMee The limiting problem in a double free boundary problem. (English) Zbl 0917.35165 Bainov, D. (ed.), Proceedings of the 7th international colloquium on differential equations, Plovdiv, Bulgaria, August 18–23, 1996. Utrecht: VSP. 131-137 (1997). MSC: 35R35 35K15 PDF BibTeX XML Cite \textit{Y. Ham}, in: Proceedings of the 7th international colloquium on differential equations, Plovdiv, Bulgaria, August 18--23, 1996. Utrecht: VSP. 131--137 (1997; Zbl 0917.35165) OpenURL
Fujimoto, Takao; Fujimoto, Yoshihisa Poincaré-Bendixson type theorems for \(n\)-dimensional spaces. (English) Zbl 0919.34035 Bainov, D. (ed.), Proceedings of the 7th international colloquium on differential equations, Plovdiv, Bulgaria, August 18–23, 1996. Utrecht: VSP. 109-113 (1997). MSC: 34C25 34D45 PDF BibTeX XML Cite \textit{T. Fujimoto} and \textit{Y. Fujimoto}, in: Proceedings of the 7th international colloquium on differential equations, Plovdiv, Bulgaria, August 18--23, 1996. Utrecht: VSP. 109--113 (1997; Zbl 0919.34035) OpenURL
Dunaeva, O. V.; Shestakov, A. A. Phase asymptotic stability of an omega-limit set of the Lagrange-type stable motion for a nonlinear steady-state dynamical system. (English. Russian original) Zbl 0905.34046 Phys.-Dokl. 41, No. 11, 559-561 (1996); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 351, No. 3, 332-334 (1996). Reviewer: Manuel Pinto (Santiago de Chile) MSC: 34D30 70K20 34D20 PDF BibTeX XML Cite \textit{O. V. Dunaeva} and \textit{A. A. Shestakov}, Phys.-Dokl. 41, No. 11, 559--561 (1996; Zbl 0905.34046); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 351, No. 3, 332--334 (1996) OpenURL
Athanassopoulos, K. One-dimensional chain recurrent sets of flows in the 2-sphere. (English) Zbl 0872.58051 Math. Z. 223, No. 4, 643-649 (1996). Reviewer: K.Athanassopoulos (Iraklion, Greece) MSC: 37C10 54H20 PDF BibTeX XML Cite \textit{K. Athanassopoulos}, Math. Z. 223, No. 4, 643--649 (1996; Zbl 0872.58051) Full Text: DOI EuDML OpenURL
Tan, Ping; Jiang, Jifa Periodic solutions of generalized Liénard equations. (Chinese. English summary) Zbl 0864.34020 J. Anhui Norm. Univ., Nat. Sci. 18, No. 4, 8-12 (1995). MSC: 34C05 PDF BibTeX XML Cite \textit{P. Tan} and \textit{J. Jiang}, J. Anhui Norm. Univ., Nat. Sci. 18, No. 4, 8--12 (1995; Zbl 0864.34020) OpenURL
Dzyuba, S. M. Two many-dimensional supplements to the Poincaré-Bendixson theorem. (English. Russian original) Zbl 0853.34033 Differ. Equations 31, No. 4, 538-540 (1995); translation from Differ. Uravn. 31, No. 4, 579-582 (1995). Reviewer: V.Chernyatin (Szczecin) MSC: 34C05 34C25 37-XX PDF BibTeX XML Cite \textit{S. M. Dzyuba}, Differ. Equations 31, No. 4, 538--540 (1995; Zbl 0853.34033); translation from Differ. Uravn. 31, No. 4, 579--582 (1995) OpenURL
Cao, Yulin Multiexistence of slowly oscillating periodic solutions for differential delay equations. (English) Zbl 0827.34057 SIAM J. Math. Anal. 26, No. 2, 436-445 (1995). Reviewer: J.Wu (North York) MSC: 34K13 34C10 PDF BibTeX XML Cite \textit{Y. Cao}, SIAM J. Math. Anal. 26, No. 2, 436--445 (1995; Zbl 0827.34057) Full Text: DOI OpenURL
Bainov, D. D.; Nenov, S. I. Limit sets of impulsive dynamical systems. (English) Zbl 0843.34015 Bainov, D. (ed.) et al., Proceedings of the fourth international colloquium on differential equations, Plovdiv, Bulgaria, August 18-22, 1993. Utrecht: VSP. 31-38 (1994). MSC: 34A37 34D05 37C10 PDF BibTeX XML Cite \textit{D. D. Bainov} and \textit{S. I. Nenov}, in: Proceedings of the fourth international colloquium on differential equations, Plovdiv, Bulgaria, August 18-22, 1993. Utrecht: VSP. 31--38 (1994; Zbl 0843.34015) OpenURL
Guckenheimer, John The role of geometry in computational dynamics. (English) Zbl 0813.58045 Chossat, Pascal (ed.), Dynamics, bifurcation and symmetry. New trends and new tools. Proceedings of the NATO Advanced Research Workshop, E. B. T. G. Conference, Cargèse, France, September 3-9, 1993. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 437, 159-165 (1994). Reviewer: A.Klíč (Praha) MSC: 37G15 37G99 34C05 PDF BibTeX XML Cite \textit{J. Guckenheimer}, NATO ASI Ser., Ser. C, Math. Phys. Sci. 437, 159--165 (1994; Zbl 0813.58045) OpenURL
Lyberopoulos, Athanasios N. A Poincaré-Bendixson theorem for scalar balance laws. (English) Zbl 0806.35111 Proc. R. Soc. Edinb., Sect. A 124, No. 3, 589-607 (1994). MSC: 35L60 35B40 PDF BibTeX XML Cite \textit{A. N. Lyberopoulos}, Proc. R. Soc. Edinb., Sect. A, Math. 124, No. 3, 589--607 (1994; Zbl 0806.35111) Full Text: DOI OpenURL
Klebanov, Boris S. On \(\omega\)-limit sets of nonautonomous differential equations. (English) Zbl 0809.34042 Commentat. Math. Univ. Carol. 35, No. 2, 267-281 (1994). Reviewer: L.Hatvani (Szeged) MSC: 34C05 34C11 PDF BibTeX XML Cite \textit{B. S. Klebanov}, Commentat. Math. Univ. Carol. 35, No. 2, 267--281 (1994; Zbl 0809.34042) Full Text: EuDML OpenURL
Filippov, V. V. The topological structure of solution spaces of ordinary differential equations. (English. Russian original) Zbl 0808.34002 Russ. Math. Surv. 48, No. 1, 101-154 (1993); translation from Usp. Mat. Nauk. 48, No. 1(289), 103-154 (1993). Reviewer: S.Mirica (Bucureşti) MSC: 34A12 34A34 34C05 34C25 PDF BibTeX XML Cite \textit{V. V. Filippov}, Russ. Math. Surv. 48, No. 1, 103--154 (1993; Zbl 0808.34002); translation from Usp. Mat. Nauk. 48, No. 1(289), 103--154 (1993) Full Text: DOI OpenURL
Hagopian, Charles L. Fixed points of plane continua. (English) Zbl 0777.54012 Rocky Mt. J. Math. 23, No. 1, 119-186 (1993). Reviewer: K.M.Kuperberg (Auburn) MSC: 54F15 57N05 37C10 54H25 54H20 PDF BibTeX XML Cite \textit{C. L. Hagopian}, Rocky Mt. J. Math. 23, No. 1, 119--186 (1993; Zbl 0777.54012) Full Text: DOI OpenURL
Lim, C. C.; Pimbley, J. M.; Schmeiser, C.; Schwendeman, D. W. Rotating waves for semiconductor inverter rings. (English) Zbl 0753.34026 SIAM J. Appl. Math. 52, No. 3, 676-690 (1992). MSC: 34C25 34C23 94C05 34A25 70K05 37G99 PDF BibTeX XML Cite \textit{C. C. Lim} et al., SIAM J. Appl. Math. 52, No. 3, 676--690 (1992; Zbl 0753.34026) Full Text: DOI Link OpenURL
Tamura, Itiro Topology of foliations: an introduction. Transl. from the Japanese by Kiki Hudson. (English) Zbl 0742.57001 Translations of Mathematical Monographs. 97. Providence, RI: American Mathematical Society (AMS). xi, 193 p. (1992). MSC: 57-02 57R30 58A05 PDF BibTeX XML Cite \textit{I. Tamura}, Topology of foliations: an introduction. Transl. from the Japanese by Kiki Hudson. Providence, RI: American Mathematical Society (1992; Zbl 0742.57001) OpenURL
Dzyuba, S. M. Certain properties of dynamic-system trajectories. (English. Russian original) Zbl 0749.93042 Sov. Phys., Dokl. 36, No. 7, 493-494 (1991); translation from Dokl. Akad. Nauk SSSR 319, No. 1, 88-90 (1991). Reviewer: W.J.Satzer jun.(St.Paul) MSC: 93C15 34C25 PDF BibTeX XML Cite \textit{S. M. Dzyuba}, Sov. Phys., Dokl. 36, No. 7, 493--494 (1991; Zbl 0749.93042); translation from Dokl. Akad. Nauk SSSR 319, No. 1, 88--90 (1991) OpenURL
Savel’ev, P. N. On Poincaré-Bendixson theorem and dissipativity on a plane. (English. Russian original) Zbl 0785.54039 Mosc. Univ. Math. Bull. 46, No. 3, 54-55 (1991); translation from Vestn. Mosk. Univ., Ser. I 1991, No. 3, 69-71 (1991). MSC: 54H20 37C10 PDF BibTeX XML Cite \textit{P. N. Savel'ev}, Mosc. Univ. Math. Bull. 46, No. 3, 69--71 (1991; Zbl 0785.54039); translation from Vestn. Mosk. Univ., Ser. I 1991, No. 3, 69--71 (1991) OpenURL
Wang, Ke Generalization of the Poincaré-Bendixson’s annular region theorem. (Chinese. English summary) Zbl 0726.34027 Acta Math. Appl. Sin. 13, No. 4, 401-408 (1990). MSC: 34C05 PDF BibTeX XML Cite \textit{K. Wang}, Acta Math. Appl. Sin. 13, No. 4, 401--408 (1990; Zbl 0726.34027) OpenURL
Serra, Enrico; Tarallo, Massimo A new proof of the Poincaré-Bendixson theorem. (English) Zbl 0723.34031 Riv. Mat. Pura Appl. 7, 81-86 (1990). Reviewer: Enrico Serra MSC: 37-XX 34C25 PDF BibTeX XML Cite \textit{E. Serra} and \textit{M. Tarallo}, Riv. Mat. Pura Appl. 7, 81--86 (1990; Zbl 0723.34031) OpenURL
Mallet-Paret, John; Smith, Hal L. The Poincaré-Bendixson theorem for monotone cyclic feedback systems. (English) Zbl 0712.34060 J. Dyn. Differ. Equations 2, No. 4, 367-421 (1990). Reviewer: Chungyou He MSC: 34C25 93C15 PDF BibTeX XML Cite \textit{J. Mallet-Paret} and \textit{H. L. Smith}, J. Dyn. Differ. Equations 2, No. 4, 367--421 (1990; Zbl 0712.34060) Full Text: DOI OpenURL
Busenberg, Stavros; Martelli, Mario Periodic solutions of Lipschitz dynamical systems. (English) Zbl 0718.34065 Differential equations and applications, Proc. Int. Conf., Columbus/OH (USA) 1988, Vol. I, 104-108 (1989). MSC: 37-XX 34C25 34C45 PDF BibTeX XML OpenURL
Fiedler, Bernold; Mallet-Paret, John A Poincaré-Bendixson theorem for scalar reaction diffusion equations. (English) Zbl 0704.35070 Arch. Ration. Mech. Anal. 107, No. 4, 325-345 (1989). Reviewer: B.D.Sleeman MSC: 35K57 35B99 PDF BibTeX XML Cite \textit{B. Fiedler} and \textit{J. Mallet-Paret}, Arch. Ration. Mech. Anal. 107, No. 4, 325--345 (1989; Zbl 0704.35070) Full Text: DOI OpenURL
Shi, Ju Existence of limit cycle for the differential system \(dx/dt=P(x,y),dy/dt=Q(x,y)\). (Chinese. English summary) Zbl 0689.34025 J. Northeast Norm. Univ., Nat. Sci. Ed. 1989, No. 1, 37-42 (1989). MSC: 34C05 PDF BibTeX XML Cite \textit{J. Shi}, J. Northeast Norm. Univ., Nat. Sci. Ed. 1989, No. 1, 37--42 (1989; Zbl 0689.34025) OpenURL
Colonius, Fritz; Sieveking, Malte Asymptotic properties of optimal solutions in planar discounted control problems. (English) Zbl 0688.49038 SIAM J. Control Optimization 27, No. 3, 608-630 (1989). Reviewer: A.Kirsch MSC: 49M99 34C25 92D25 49J99 PDF BibTeX XML Cite \textit{F. Colonius} and \textit{M. Sieveking}, SIAM J. Control Optim. 27, No. 3, 608--630 (1989; Zbl 0688.49038) Full Text: DOI OpenURL