Buzzi, Claudio Aguinaldo; Carvalho, Yagor Romano; Gasull, Armengol The local period function for Hamiltonian systems with applications. (English) Zbl 07319444 J. Differ. Equations 280, 590-617 (2021). MSC: 34C08 34C25 34C25 37J46 PDF BibTeX XML Cite \textit{C. A. Buzzi} et al., J. Differ. Equations 280, 590--617 (2021; Zbl 07319444) Full Text: DOI
Li, Hong; Sun, Hongquan; Zhu, Wenjing Solitary waves and periodic waves in a perturbed KdV equation. (English) Zbl 1454.34053 Qual. Theory Dyn. Syst. 19, No. 3, Paper No. 83, 18 p. (2020). MSC: 34C05 34C08 34C23 34C37 34E15 35C07 35Q53 PDF BibTeX XML Cite \textit{H. Li} et al., Qual. Theory Dyn. Syst. 19, No. 3, Paper No. 83, 18 p. (2020; Zbl 1454.34053) Full Text: DOI
Barreira, Luis; Llibre, Jaume; Valls, Claudia Linear type global centers of cubic Hamiltonian systems symmetric with respect to the \(x\)-axis. (English) Zbl 1448.37071 Electron. J. Differ. Equ. 2020, Paper No. 57, 14 p. (2020). MSC: 37J46 37J06 34C05 34C07 34C08 PDF BibTeX XML Cite \textit{L. Barreira} et al., Electron. J. Differ. Equ. 2020, Paper No. 57, 14 p. (2020; Zbl 1448.37071) Full Text: Link
García-Saldaña, J. D.; Gasull, A.; Giacomini, H. A new approach for the study of limit cycles. (English) Zbl 1446.34048 J. Differ. Equations 269, No. 7, 6269-6292 (2020). Reviewer: Anthony D. Osborne (Keele) MSC: 34C05 34C07 34C08 34C37 PDF BibTeX XML Cite \textit{J. D. García-Saldaña} et al., J. Differ. Equations 269, No. 7, 6269--6292 (2020; Zbl 1446.34048) Full Text: DOI
Wei, Lijun; Zhang, Xiang Limit cycles bifurcating from periodic orbits near a centre and a homoclinic loop with a nilpotent singularity of Hamiltonian systems. (English) Zbl 1444.34058 Nonlinearity 33, No. 6, 2723-2754 (2020). MSC: 34C07 34C05 34C08 34C23 34C37 34E10 37J40 PDF BibTeX XML Cite \textit{L. Wei} and \textit{X. Zhang}, Nonlinearity 33, No. 6, 2723--2754 (2020; Zbl 1444.34058) Full Text: DOI
Tudoran, Răzvan M.; Gîrban, Anania On the rattleback dynamics. (English) Zbl 1439.37065 J. Math. Anal. Appl. 488, No. 1, Article ID 124066, 21 p. (2020). MSC: 37J46 37J39 37J25 70H14 70G45 PDF BibTeX XML Cite \textit{R. M. Tudoran} and \textit{A. Gîrban}, J. Math. Anal. Appl. 488, No. 1, Article ID 124066, 21 p. (2020; Zbl 1439.37065) Full Text: DOI
Yang, Sumin; Qin, Bin; Xia, Guoen; Xia, Yong-Hui Perturbation of a period annulus bounded by a saddle-saddle cycle in a hyperelliptic Hamiltonian systems of degree seven. (English) Zbl 1446.34055 Qual. Theory Dyn. Syst. 19, No. 1, Paper No. 33, 20 p. (2020). Reviewer: Iliya Iliev (Sofia) MSC: 34C05 34C08 34C07 34C23 34E10 37J40 34C37 PDF BibTeX XML Cite \textit{S. Yang} et al., Qual. Theory Dyn. Syst. 19, No. 1, Paper No. 33, 20 p. (2020; Zbl 1446.34055) Full Text: DOI
Barrabés, Esther; Ollé, Mercè Space manifold dynamics: the highways of the universe. (Catalan. English summary) Zbl 07273999 Butll. Soc. Catalana Mat. 34, No. 2, 97-123 (2019). MSC: 70F07 70F10 70F15 PDF BibTeX XML Cite \textit{E. Barrabés} and \textit{M. Ollé}, Butll. Soc. Catalana Mat. 34, No. 2, 97--123 (2019; Zbl 07273999) Full Text: DOI
Wei, Minzhi; Cai, Junning; Zhu, Hongying Poincaré bifurcation of limit cycles from a Liénard system with a homoclinic loop passing through a nilpotent saddle. (English) Zbl 1453.34049 Discrete Dyn. Nat. Soc. 2019, Article ID 6943563, 12 p. (2019). MSC: 34C07 34C08 34C23 37C29 PDF BibTeX XML Cite \textit{M. Wei} et al., Discrete Dyn. Nat. Soc. 2019, Article ID 6943563, 12 p. (2019; Zbl 1453.34049) Full Text: DOI
Ivanov, Alexey V. On transversal connecting orbits of Lagrangian systems in a nonstationary force field: the Newton-Kantorovich approach. (English) Zbl 1431.37050 Regul. Chaotic Dyn. 24, No. 4, 392-417 (2019). MSC: 37J46 37J39 70G45 70H03 PDF BibTeX XML Cite \textit{A. V. Ivanov}, Regul. Chaotic Dyn. 24, No. 4, 392--417 (2019; Zbl 1431.37050) Full Text: DOI
Mondelo, Josep-Maria Computing invariant manifolds for libration point missions. (English) Zbl 1428.70023 Baù, Giulio (ed.) et al., Satellite dynamics and space missions. Collected papers of the summer school “Satellite dynamics and space missions: theory and applications of celestial mechanics”, San Martino al Cimino, Viterbo, Italy, August 28 – September 2, 2017. Cham: Springer. Springer INdAM Ser. 34, 159-223 (2019). MSC: 70F10 37M99 34C45 70H33 PDF BibTeX XML Cite \textit{J.-M. Mondelo}, Springer INdAM Ser. 34, 159--223 (2019; Zbl 1428.70023) Full Text: DOI
Moghimi, Pegah; Asheghi, Rasoul; Kazemi, Rasool On the number of limit cycles bifurcated from some Hamiltonian systems with a non-elementary heteroclinic loop. (English) Zbl 1404.34034 Chaos Solitons Fractals 113, 345-355 (2018). MSC: 34C07 34C08 37G15 37J45 PDF BibTeX XML Cite \textit{P. Moghimi} et al., Chaos Solitons Fractals 113, 345--355 (2018; Zbl 1404.34034) Full Text: DOI
Liang, Yuying; Xu, Ming; Xu, Shijie High-order solutions of motion near triangular libration points for arbitrary value of \(\mu\). (English) Zbl 1398.37019 Nonlinear Dyn. 93, No. 2, 909-932 (2018). MSC: 37C29 70F07 70M20 PDF BibTeX XML Cite \textit{Y. Liang} et al., Nonlinear Dyn. 93, No. 2, 909--932 (2018; Zbl 1398.37019) Full Text: DOI
Ross, Calum; Schroers, Bernd J. Hyperbolic vortices and Dirac fields in 2+1 dimensions. (English) Zbl 1396.81087 J. Phys. A, Math. Theor. 51, No. 29, Article ID 295202, 25 p. (2018). MSC: 81Q05 81R20 51M10 37G20 53C07 70S15 53C80 PDF BibTeX XML Cite \textit{C. Ross} and \textit{B. J. Schroers}, J. Phys. A, Math. Theor. 51, No. 29, Article ID 295202, 25 p. (2018; Zbl 1396.81087) Full Text: DOI
Marín, D.; Villadelprat, J. On the Chebyshev property of certain abelian integrals near a polycycle. (English) Zbl 1394.34058 Qual. Theory Dyn. Syst. 17, No. 1, 261-270 (2018). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C08 34C37 34E15 PDF BibTeX XML Cite \textit{D. Marín} and \textit{J. Villadelprat}, Qual. Theory Dyn. Syst. 17, No. 1, 261--270 (2018; Zbl 1394.34058) Full Text: DOI
Zhang, Jiaying; McInnes, Colin R.; Xu, Ming Reconfiguration of a smart surface using heteroclinic connections. (English) Zbl 1404.70058 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 473, No. 2197, Article ID 20160614, 20 p. (2017). MSC: 70K44 PDF BibTeX XML Cite \textit{J. Zhang} et al., Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 473, No. 2197, Article ID 20160614, 20 p. (2017; Zbl 1404.70058) Full Text: DOI
Galperin, Gregory; Levi, Mark Bouncing in gravitational fieldbouncing in gravitational field. (English) Zbl 1400.37042 Blokh, Alexander M. (ed.) et al., Dynamical systems, ergodic theory, and probability. In memory of Kolya Chernov. Conference dedicated to the memory of Nikolai Chernov, University of Alabama at Birmingham, Birmingham, AL, USA, May 18–20, 2015. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2773-3/pbk; 978-1-4704-4224-8/ebook). Contemporary Mathematics 698, 129-139 (2017). Reviewer: Giuseppe Gaeta (Milano) MSC: 37D50 37J45 70G45 70F35 PDF BibTeX XML Cite \textit{G. Galperin} and \textit{M. Levi}, Contemp. Math. 698, 129--139 (2017; Zbl 1400.37042) Full Text: DOI
Ma, Huilong; Yang, Jihua On the number of zeros for Abel integrals of Hamilton system of seven degree with nilpotent singularities. (Chinese. English summary) Zbl 1399.34099 J. Math., Wuhan Univ. 37, No. 6, 1227-1233 (2017). MSC: 34C08 34C05 37J45 PDF BibTeX XML Cite \textit{H. Ma} and \textit{J. Yang}, J. Math., Wuhan Univ. 37, No. 6, 1227--1233 (2017; Zbl 1399.34099) Full Text: DOI
Granados, Albert Invariant manifolds and the parameterization method in coupled energy harvesting piezoelectric oscillators. (English) Zbl 1378.34056 Physica D 351-352, 14-29 (2017). MSC: 34C15 78A55 34C45 34C60 37M05 PDF BibTeX XML Cite \textit{A. Granados}, Physica D 351--352, 14--29 (2017; Zbl 1378.34056) Full Text: DOI
Bai, Long; Yang, Jihua Linear estimate for the number of zeros of abelian integrals of Hamiltonian system with singular line. (Chinese. English summary) Zbl 1389.34103 J. Northwest Norm. Univ., Nat. Sci. 53, No. 2, 13-16, 20 (2017). MSC: 34C08 37J45 PDF BibTeX XML Cite \textit{L. Bai} and \textit{J. Yang}, J. Northwest Norm. Univ., Nat. Sci. 53, No. 2, 13--16, 20 (2017; Zbl 1389.34103) Full Text: DOI
Luque, Alejandro; Peralta-Salas, Daniel Arnold diffusion of charged particles in ABC magnetic fields. (English) Zbl 1408.37102 J. Nonlinear Sci. 27, No. 3, 721-774 (2017). MSC: 37J40 34C20 37C29 37D05 37N20 PDF BibTeX XML Cite \textit{A. Luque} and \textit{D. Peralta-Salas}, J. Nonlinear Sci. 27, No. 3, 721--774 (2017; Zbl 1408.37102) Full Text: DOI arXiv
Sun, Xianbo; Zhao, Liqin Perturbations of a class of hyper-elliptic Hamiltonian systems of degree seven with nilpotent singular points. (English) Zbl 1410.34099 Appl. Math. Comput. 289, 194-203 (2016). MSC: 34C07 34C08 34C37 PDF BibTeX XML Cite \textit{X. Sun} and \textit{L. Zhao}, Appl. Math. Comput. 289, 194--203 (2016; Zbl 1410.34099) Full Text: DOI
Roberto, Luci A. F.; da Silva, Paulo R.; Torregrosa, Joan Asymptotic expansion of the heteroclinic bifurcation for the planar normal form of the 1:2 resonance. (English) Zbl 1334.34122 Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 1, Article ID 1650017, 8 p. (2016). MSC: 34E05 34C37 34C23 34C20 PDF BibTeX XML Cite \textit{L. A. F. Roberto} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 1, Article ID 1650017, 8 p. (2016; Zbl 1334.34122) Full Text: DOI
Avrutin, Viktor; Schenke, Björn; Gardini, Laura Calculation of homoclinic and heteroclinic orbits in 1D maps. (English) Zbl 1329.37079 Commun. Nonlinear Sci. Numer. Simul. 22, No. 1-3, 1201-1214 (2015). MSC: 37M25 PDF BibTeX XML Cite \textit{V. Avrutin} et al., Commun. Nonlinear Sci. Numer. Simul. 22, No. 1--3, 1201--1214 (2015; Zbl 1329.37079) Full Text: DOI
Burgos-García, Jaime; Gidea, Marian Hill’s approximation in a restricted four-body problem. (English) Zbl 1325.70029 Celest. Mech. Dyn. Astron. 122, No. 2, 117-141 (2015). MSC: 70F10 37N05 70F15 PDF BibTeX XML Cite \textit{J. Burgos-García} and \textit{M. Gidea}, Celest. Mech. Dyn. Astron. 122, No. 2, 117--141 (2015; Zbl 1325.70029) Full Text: DOI arXiv
Shang, Desheng; Zhang, Yaoming Global bifurcation of a symmetric cubic system. (Chinese. English summary) Zbl 1340.34141 Acta Math. Sci., Ser. A, Chin. Ed. 35, No. 1, 83-96 (2015). MSC: 34C23 34C05 34C08 37G15 37G20 PDF BibTeX XML Cite \textit{D. Shang} and \textit{Y. Zhang}, Acta Math. Sci., Ser. A, Chin. Ed. 35, No. 1, 83--96 (2015; Zbl 1340.34141)
Sun, Xianbo; Yang, Junmin Sharp bounds of the number of zeros of abelian integrals with parameters. (English) Zbl 1417.34073 Electron. J. Differ. Equ. 2014, Paper No. 40, 12 p. (2014). MSC: 34C05 34C07 34C08 34C37 PDF BibTeX XML Cite \textit{X. Sun} and \textit{J. Yang}, Electron. J. Differ. Equ. 2014, Paper No. 40, 12 p. (2014; Zbl 1417.34073) Full Text: EMIS
Zhao, Liqin The perturbations of a class of hyper-elliptic Hamilton systems with a double homoclinic loop through a nilpotent saddle. (English) Zbl 1288.34050 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 95, 374-387 (2014). Reviewer: Valery A. Gaiko (Minsk) MSC: 34E10 34C08 34C05 34C07 34C37 37J45 37J40 PDF BibTeX XML Cite \textit{L. Zhao}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 95, 374--387 (2014; Zbl 1288.34050) Full Text: DOI
Alessio, Francesca Stationary layered solutions for a system of Allen-Cahn type equations. (English) Zbl 1300.35035 Indiana Univ. Math. J. 62, No. 5, 1535-1564 (2013). Reviewer: Mihai Pascu (Bucureşti) MSC: 35J60 34C37 35J20 35B40 PDF BibTeX XML Cite \textit{F. Alessio}, Indiana Univ. Math. J. 62, No. 5, 1535--1564 (2013; Zbl 1300.35035) Full Text: DOI Link arXiv
Szczelina, Robert; Zgliczyński, Piotr A homoclinic orbit in a planar singular ODE – a computer assisted proof. (English) Zbl 1284.34070 SIAM J. Appl. Dyn. Syst. 12, No. 3, 1541-1565 (2013). MSC: 34C37 37G20 65G20 34A09 PDF BibTeX XML Cite \textit{R. Szczelina} and \textit{P. Zgliczyński}, SIAM J. Appl. Dyn. Syst. 12, No. 3, 1541--1565 (2013; Zbl 1284.34070) Full Text: DOI
Wang, Jihua; Xiao, Dongmei; Han, Maoan The number of zeros of abelian integrals for a perturbation of hyperelliptic Hamiltonian system with degenerated polycycle. (English) Zbl 1270.34057 Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 3, Article ID 1350047, 18 p. (2013). MSC: 34C08 34C07 34C37 37J40 34E10 34E05 PDF BibTeX XML Cite \textit{J. Wang} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 3, Article ID 1350047, 18 p. (2013; Zbl 1270.34057) Full Text: DOI
Sun, Xianbo Bifurcation of limit cycles from a hyper-elliptic Hamiltonian system with a double heteroclinic loops. (English) Zbl 1377.34040 Adv. Difference Equ. 2012, Paper No. 224, 11 p. (2012). MSC: 34C05 34C07 34C08 34C37 34C23 PDF BibTeX XML Cite \textit{X. Sun}, Adv. Difference Equ. 2012, Paper No. 224, 11 p. (2012; Zbl 1377.34040) Full Text: DOI
Kazemi, Rasool; Zangeneh, Hamid R. Z. Bifurcation of limit cycles in small perturbations of a hyper-elliptic Hamiltonian system with two nilpotent saddles. (English) Zbl 1319.34067 J. Appl. Anal. Comput. 2, No. 4, 395-413 (2012). MSC: 34C23 34C07 34C08 34C05 34C37 37J40 PDF BibTeX XML Cite \textit{R. Kazemi} and \textit{H. R. Z. Zangeneh}, J. Appl. Anal. Comput. 2, No. 4, 395--413 (2012; Zbl 1319.34067)
Qi, Minghui; Zhao, Liqin Bifurcation of limit cycles for a class of quintic Hamiltonian systems with double heteroclinic loops. (Chinese. English summary) Zbl 1289.34108 J. Beijing Norm. Univ., Nat. Sci. 48, No. 6, 587-591 (2012). MSC: 34C23 34C08 34C07 37G15 34C37 PDF BibTeX XML Cite \textit{M. Qi} and \textit{L. Zhao}, J. Beijing Norm. Univ., Nat. Sci. 48, No. 6, 587--591 (2012; Zbl 1289.34108)
Hong, Chun; Zou, Lan Abelian integrals and critical periods for a class of reversible quadratic systems. (Chinese. English summary) Zbl 1274.34095 J. Sichuan Univ., Nat. Sci. Ed. 49, No. 5, 960-964 (2012). MSC: 34C08 37J45 34C25 34C05 34C14 PDF BibTeX XML Cite \textit{C. Hong} and \textit{L. Zou}, J. Sichuan Univ., Nat. Sci. Ed. 49, No. 5, 960--964 (2012; Zbl 1274.34095) Full Text: DOI
Zhao, Yulin; Zhu, Huaiping Bifurcation of limit cycles from a non-Hamiltonian quadratic integrable system with homoclinic loop. (English) Zbl 1271.34036 Mallet-Paret, John (ed.) et al., Infinite dimensional dynamical systems. Collected papers of the international conference, Toronto, Canada, September 24–28, 2008. New York, NY: Springer; Toronto: Fields Institute for Research in Mathematical Sciences (ISBN 978-1-4614-4522-7/hbk; 978-1-4614-4523-4/ebook). Fields Institute Communications 64, 445-479 (2012). Reviewer: Iliya Iliev (Sofia) MSC: 34C08 34C07 34C23 34C05 34C37 PDF BibTeX XML Cite \textit{Y. Zhao} and \textit{H. Zhu}, Fields Inst. Commun. 64, 445--479 (2012; Zbl 1271.34036) Full Text: DOI
Granados, A.; Hogan, S. J.; Seara, T. M. The Melnikov method and subharmonic orbits in a piecewise-smooth system. (English) Zbl 1262.37028 SIAM J. Appl. Dyn. Syst. 11, No. 3, 801-830 (2012). Reviewer: Zdzisław Dzedzej (Gdansk) MSC: 37J45 37B55 37N15 PDF BibTeX XML Cite \textit{A. Granados} et al., SIAM J. Appl. Dyn. Syst. 11, No. 3, 801--830 (2012; Zbl 1262.37028) Full Text: DOI arXiv
Atabaigi, Ali; Zangeneh, Hamid R. Z.; Kazemi, Rasool Limit cycle bifurcation by perturbing a cuspidal loop of order 2 in a Hamiltonian system. (English) Zbl 1244.34048 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 4, 1945-1958 (2012). Reviewer: Eugene Ershov (St. Petersburg) MSC: 34C07 34C08 34C23 34C37 37G15 37J45 PDF BibTeX XML Cite \textit{A. Atabaigi} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 4, 1945--1958 (2012; Zbl 1244.34048) Full Text: DOI
Deng, Shengfu; Li, Xiaopei Generalized homoclinic solutions for the Swift-Hohenberg equation. (English) Zbl 1242.34080 J. Math. Anal. Appl. 390, No. 1, 15-26 (2012). Reviewer: Joseph Páez Chávez (Aberdeen) MSC: 34C37 34C25 34A05 34C14 PDF BibTeX XML Cite \textit{S. Deng} and \textit{X. Li}, J. Math. Anal. Appl. 390, No. 1, 15--26 (2012; Zbl 1242.34080) Full Text: DOI
Kazemi, Rasool; Zangeneh, Hamid R. Z.; Atabaigi, Ali On the number of limit cycles in small perturbations of a class of hyper-elliptic Hamiltonian systems. (English) Zbl 1236.34038 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 2, 574-587 (2012). Reviewer: Alexander Grin (Grodno) MSC: 34C07 34C05 34C23 34C08 37J45 PDF BibTeX XML Cite \textit{R. Kazemi} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 2, 574--587 (2012; Zbl 1236.34038) Full Text: DOI
Dăniasă, Cora; Gĩrban, Anania; Tudoran, Răzvan M. New aspects on the geometry and dynamics of quadratic Hamiltonian systems on \((\mathfrak {so}(3))^*\). (English) Zbl 1326.70027 Int. J. Geom. Methods Mod. Phys. 8, No. 8, 1695-1721 (2011). MSC: 70H05 70H14 70G45 70K44 PDF BibTeX XML Cite \textit{C. Dăniasă} et al., Int. J. Geom. Methods Mod. Phys. 8, No. 8, 1695--1721 (2011; Zbl 1326.70027) Full Text: DOI
Krisztin, Tibor; Vas, Gabriella Large-amplitude periodic solutions for differential equations with delayed monotone positive feedback. (English) Zbl 1247.34120 J. Dyn. Differ. Equations 23, No. 4, 727-790 (2011); erratum ibid. 26, No. 2, 401-403 (2014). Reviewer: Bernhard Lani-Wayda (Giessen) MSC: 34K13 37C70 37D05 37L25 37L45 34K25 34D45 34C45 34C37 34K21 PDF BibTeX XML Cite \textit{T. Krisztin} and \textit{G. Vas}, J. Dyn. Differ. Equations 23, No. 4, 727--790 (2011; Zbl 1247.34120) Full Text: DOI
Hu, Xijun; Wang, Penghui Conditional Fredholm determinant for the \(S\)-periodic orbits in Hamiltonian systems. (English) Zbl 1273.37036 J. Funct. Anal. 261, No. 11, 3247-3278 (2011). MSC: 37J45 37C25 70G45 70H05 PDF BibTeX XML Cite \textit{X. Hu} and \textit{P. Wang}, J. Funct. Anal. 261, No. 11, 3247--3278 (2011; Zbl 1273.37036) Full Text: DOI
Gavrilov, Lubomir On the number of limit cycles which appear by perturbation of Hamiltonian two-saddle cycles of planar vector fields. (English) Zbl 1234.34025 Bull. Braz. Math. Soc. (N.S.) 42, No. 1, 1-23 (2011). Reviewer: Iliya Iliev (Sofia) MSC: 34C07 34C08 37G15 34C05 34C37 34C23 PDF BibTeX XML Cite \textit{L. Gavrilov}, Bull. Braz. Math. Soc. (N.S.) 42, No. 1, 1--23 (2011; Zbl 1234.34025) Full Text: DOI arXiv
Wright, O. C. III On a homoclinic manifold of a coupled long-wave-short-wave system. (English) Zbl 1222.35185 Commun. Nonlinear Sci. Numer. Simul. 15, No. 8, 2066-2072 (2010). MSC: 35Q55 35A30 37C29 37L10 PDF BibTeX XML Cite \textit{O. C. Wright III}, Commun. Nonlinear Sci. Numer. Simul. 15, No. 8, 2066--2072 (2010; Zbl 1222.35185) Full Text: DOI
Mireles James, J. D.; Lomelí, Hector Computation of heteroclinic arcs with application to the volume preserving Hénon family. (English) Zbl 1207.37014 SIAM J. Appl. Dyn. Syst. 9, No. 3, 919-953 (2010). Reviewer: Juan Luis García Guirao (Cartagena) MSC: 37C29 65P99 65Q20 65Q30 90C53 15A09 PDF BibTeX XML Cite \textit{J. D. Mireles James} and \textit{H. Lomelí}, SIAM J. Appl. Dyn. Syst. 9, No. 3, 919--953 (2010; Zbl 1207.37014) Full Text: DOI
Ju, Jing; Chen, Wencheng A criterion of the monotonicity of the ratio of two Abelian integrals in a class of Hamilton system. (Chinese. English summary) Zbl 1212.34105 Acta Anal. Funct. Appl. 11, No. 4, 351-355 (2009). MSC: 34C08 34C07 37J45 PDF BibTeX XML Cite \textit{J. Ju} and \textit{W. Chen}, Acta Anal. Funct. Appl. 11, No. 4, 351--355 (2009; Zbl 1212.34105)
He, Zhirong Zeros of the Melnikov function of a system with homoclinic orbits. (English) Zbl 1212.37072 J. Sichuan Univ., Nat. Sci. Ed. 46, No. 5, 1229-1232 (2009). MSC: 37G20 34C08 PDF BibTeX XML Cite \textit{Z. He}, J. Sichuan Univ., Nat. Sci. Ed. 46, No. 5, 1229--1232 (2009; Zbl 1212.37072) Full Text: DOI
Cabada, Alberto; Cid, J. Ángel Heteroclinic solutions for non-autonomous boundary value problems with singular \(\Phi\)-Laplacian operators. (English) Zbl 1198.34039 Discrete Contin. Dyn. Syst. 2009, Suppl., 118-122 (2009). Reviewer: Cristina Marcelli (Ancona) MSC: 34B40 34B15 34B16 34C37 PDF BibTeX XML Cite \textit{A. Cabada} and \textit{J. Á. Cid}, Discrete Contin. Dyn. Syst. 2009, 118--122 (2009; Zbl 1198.34039) Full Text: Link
Shang, Desheng; Zhang, Tonghua Bifurcations of a cubic system perturbed by degree five. (English) Zbl 1199.34165 Acta Math. Sci., Ser. B, Engl. Ed. 29, No. 1, 11-24 (2009). MSC: 34C07 34C05 34C08 37G15 34C37 34D10 34C23 PDF BibTeX XML Cite \textit{D. Shang} and \textit{T. Zhang}, Acta Math. Sci., Ser. B, Engl. Ed. 29, No. 1, 11--24 (2009; Zbl 1199.34165) Full Text: DOI
Luca, Stijn; Dumortier, Freddy; Caubergh, Magdalena; Roussarie, Robert Detecting alien limit cycles near a Hamiltonian 2-saddle cycle. (English) Zbl 1194.34084 Discrete Contin. Dyn. Syst. 25, No. 4, 1081-1108 (2009). Reviewer: Iliya Iliev (Sofia) MSC: 34C37 34C23 34C25 34E10 34C20 34C08 34C05 PDF BibTeX XML Cite \textit{S. Luca} et al., Discrete Contin. Dyn. Syst. 25, No. 4, 1081--1108 (2009; Zbl 1194.34084) Full Text: DOI
Zhao, LiQin; Wang, Qi Perturbations from a kind of quartic Hamiltonians under general cubic polynomials. (English) Zbl 1192.34044 Sci. China, Ser. A 52, No. 3, 427-442 (2009). Reviewer: Josef Hainzl (Freiburg) MSC: 34C07 34C08 PDF BibTeX XML Cite \textit{L. Zhao} and \textit{Q. Wang}, Sci. China, Ser. A 52, No. 3, 427--442 (2009; Zbl 1192.34044) Full Text: DOI
Wright, Otis C. III Some homoclinic connections of a novel integrable generalized nonlinear Schrödinger equation. (English) Zbl 1179.35315 Nonlinearity 22, No. 11, 2633-2643 (2009). MSC: 35Q55 37K15 37K35 PDF BibTeX XML Cite \textit{O. C. Wright III}, Nonlinearity 22, No. 11, 2633--2643 (2009; Zbl 1179.35315) Full Text: DOI
He, Zhirong; Zhang, Weinian Critical periods of a periodic annulus linking to equilibria at infinity in a cubic system. (English) Zbl 1180.34034 Discrete Contin. Dyn. Syst. 24, No. 3, 841-854 (2009). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C08 37J45 34C05 PDF BibTeX XML Cite \textit{Z. He} and \textit{W. Zhang}, Discrete Contin. Dyn. Syst. 24, No. 3, 841--854 (2009; Zbl 1180.34034) Full Text: DOI
Georgi, Marc Interaction of homoclinic solutions and Hopf points in functional differential equations of mixed type. (English) Zbl 1186.34096 Proc. R. Soc. Edinb., Sect. A, Math. 139, No. 1, 123-155 (2009). Reviewer: Jan Sieber (Portsmouth) MSC: 34K18 34K19 PDF BibTeX XML Cite \textit{M. Georgi}, Proc. R. Soc. Edinb., Sect. A, Math. 139, No. 1, 123--155 (2009; Zbl 1186.34096) Full Text: DOI
Stefanopoulos, Vangelis Heteroclinic connections for multiple-well potentials: The anisotropic case. (English) Zbl 1160.35068 Proc. R. Soc. Edinb., Sect. A, Math. 138, No. 6, 1313-1330 (2008). Reviewer: Sergei Kornev (Voronezh) MSC: 35Q55 34C37 PDF BibTeX XML Cite \textit{V. Stefanopoulos}, Proc. R. Soc. Edinb., Sect. A, Math. 138, No. 6, 1313--1330 (2008; Zbl 1160.35068) Full Text: DOI
Asheghi, Rasoul; Zangeneh, Hamid R. Z. Bifurcations of limit cycles from quintic Hamiltonian systems with an eye-figure loop. II. (English) Zbl 1161.34329 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 11, 4143-4162 (2008). MSC: 34C23 34C07 34C08 37G15 34C37 34C05 PDF BibTeX XML Cite \textit{R. Asheghi} and \textit{H. R. Z. Zangeneh}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 11, 4143--4162 (2008; Zbl 1161.34329) Full Text: DOI
Alikakos, N. D.; Fusco, G. On the connection problem for potentials with several global minima. (English) Zbl 1162.65060 Indiana Univ. Math. J. 57, No. 4, 1871-1906 (2008). Reviewer: M. Gousidou-Koutita (Thessaloniki) MSC: 65P10 65M60 65M50 35Q55 65L05 70K05 70K44 PDF BibTeX XML Cite \textit{N. D. Alikakos} and \textit{G. Fusco}, Indiana Univ. Math. J. 57, No. 4, 1871--1906 (2008; Zbl 1162.65060) Full Text: DOI
Doedel, E. J.; Kooi, B. W.; van Voorn, G. A. K.; Kuznetsov, Yu. A. Continuation of connecting orbits in 3-D-ODEs. I. Point-to-cycle connections. (English) Zbl 1149.34328 Int. J. Bifurcation Chaos Appl. Sci. Eng. 18, No. 7, 1889-1903 (2008). MSC: 34C37 34B15 65P99 65Y15 PDF BibTeX XML Cite \textit{E. J. Doedel} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 18, No. 7, 1889--1903 (2008; Zbl 1149.34328) Full Text: DOI arXiv
Czaja, Radoslaw; Rocha, Carlos Transversality in scalar reaction-diffusion equations on a circle. (English) Zbl 1157.35004 J. Differ. Equations 245, No. 3, 692-721 (2008). Reviewer: Rong Yuan (Beijing) MSC: 35B10 35B40 35K57 PDF BibTeX XML Cite \textit{R. Czaja} and \textit{C. Rocha}, J. Differ. Equations 245, No. 3, 692--721 (2008; Zbl 1157.35004) Full Text: DOI
Li, Chengzhi; Lu, Kening The period function of hyperelliptic Hamiltonians of degree 5 with real critical points. (English) Zbl 1142.34016 Nonlinearity 21, No. 3, 465-483 (2008). Reviewer: Valery A. Gaiko (Groningen) MSC: 34C05 34C07 34C08 37J45 PDF BibTeX XML Cite \textit{C. Li} and \textit{K. Lu}, Nonlinearity 21, No. 3, 465--483 (2008; Zbl 1142.34016) Full Text: DOI
Zhou, Yunming; Shang, Desheng; Zhang, Tonghua Seventeen limit cycles bifurcations of a fifth system. (English) Zbl 1163.34335 Discrete Contin. Dyn. Syst. 2007, Suppl., 1070-1081 (2007). MSC: 34C05 34C08 34C23 34D10 34D15 34K18 34K26 PDF BibTeX XML Cite \textit{Y. Zhou} et al., Discrete Contin. Dyn. Syst. 2007, 1070--1081 (2007; Zbl 1163.34335) Full Text: Link
Tigan, Gheorghe Thirteen limit cycles for a class of Hamiltonian systems under seven-order perturbed terms. (English) Zbl 1141.34023 Chaos Solitons Fractals 31, No. 2, 480-488 (2007). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C05 34C08 34E10 37J45 PDF BibTeX XML Cite \textit{G. Tigan}, Chaos Solitons Fractals 31, No. 2, 480--488 (2007; Zbl 1141.34023) Full Text: DOI arXiv
Caubergh, Magdalena; Dumortier, Freddy; Roussarie, Robert Alien limit cycles in rigid unfoldings of a Hamiltonian 2-saddle cycle. (English) Zbl 1138.34020 Commun. Pure Appl. Anal. 6, No. 1, 1-21 (2007). Reviewer: Eugene Ershov (St. Petersburg) MSC: 34C07 34C08 34C37 34E10 34C23 34E05 PDF BibTeX XML Cite \textit{M. Caubergh} et al., Commun. Pure Appl. Anal. 6, No. 1, 1--21 (2007; Zbl 1138.34020) Full Text: DOI
Wright, O. C. III Sasa-Satsuma equation, unstable plane waves and heteroclinic connections. (English) Zbl 1162.35072 Chaos Solitons Fractals 33, No. 2, 374-387 (2007). Reviewer: Jong Kyu Kim (Masan Kyungnam) MSC: 35Q55 35B35 37C29 78A15 37K35 PDF BibTeX XML Cite \textit{O. C. Wright III}, Chaos Solitons Fractals 33, No. 2, 374--387 (2007; Zbl 1162.35072) Full Text: DOI
Tigan, Gheorghe Eleven limit cycles in a Hamiltonian system under five-order perturbed terms. (English) Zbl 1166.34020 Differ. Geom. Dyn. Syst. 8, 268-277 (2006). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C23 34C07 34C08 37J45 34C05 PDF BibTeX XML Cite \textit{G. Tigan}, Differ. Geom. Dyn. Syst. 8, 268--277 (2006; Zbl 1166.34020)
Alikakos, N. D.; Fife, P. C.; Fusco, G.; Sourdis, C. Analysis of the heteroclinic connection in a singularly perturbed system arising from the study of crystalline grain boundaries. (English) Zbl 1106.35115 Interfaces Free Bound. 8, No. 2, 159-183 (2006). MSC: 35Q72 74N20 37J45 PDF BibTeX XML Cite \textit{N. D. Alikakos} et al., Interfaces Free Bound. 8, No. 2, 159--183 (2006; Zbl 1106.35115) Full Text: DOI
Kaloshin, V. Around the Hilbert-Arnol’d problem. (English) Zbl 1161.34016 Schlomiuk, Dana et al., On finiteness in differential equations and Diophantine geometry. Edited by Dana Schlomiuk. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-2805-3/hbk). CRM Monograph Series 24, 111-162 (2005). Reviewer: Alexander Grin (Grodno) MSC: 34C07 34C05 34C08 34C23 34C37 PDF BibTeX XML Cite \textit{V. Kaloshin}, CRM Monogr. Ser. 24, 111--162 (2005; Zbl 1161.34016)
Freire, E.; Pizarro, L.; Rodríguez-Luis, A. J.; Fernández-Sánchez, F. Multiparametric bifurcations in an enzyme-catalyzed reaction model. (English) Zbl 1069.92009 Int. J. Bifurcation Chaos Appl. Sci. Eng. 15, No. 3, 905-947 (2005). MSC: 92C40 34C23 34C37 34C25 34C60 92E20 PDF BibTeX XML Cite \textit{E. Freire} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 15, No. 3, 905--947 (2005; Zbl 1069.92009) Full Text: DOI
López-Ruiz, R.; Boccaletti, S. Symmetry induced heteroclinic cycles in a \(\text{CO}_2\) laser. (English) Zbl 1086.37528 Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, No. 3, 1121-1127 (2004). MSC: 37N20 78A60 34C37 37C25 34C14 PDF BibTeX XML Cite \textit{R. López-Ruiz} and \textit{S. Boccaletti}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, No. 3, 1121--1127 (2004; Zbl 1086.37528) Full Text: DOI
Algaba, A.; Merino, M.; Freire, E.; Gamero, E.; Rodríguez-Luis, A. J. Some results on Chua’s equation near a triple-zero linear degeneracy. (English) Zbl 1083.93020 Int. J. Bifurcation Chaos Appl. Sci. Eng. 13, No. 3, 583-608 (2003). Reviewer: Fabio Bagagiolo (Trento) MSC: 93C10 34C20 34C23 PDF BibTeX XML Cite \textit{A. Algaba} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 13, No. 3, 583--608 (2003; Zbl 1083.93020) Full Text: DOI
Thompson, G. Variational connections on Lie groups. (English) Zbl 1021.37038 Differ. Geom. Appl. 18, No. 3, 255-270 (2003). MSC: 37J45 53C05 70H03 34A26 PDF BibTeX XML Cite \textit{G. Thompson}, Differ. Geom. Appl. 18, No. 3, 255--270 (2003; Zbl 1021.37038) Full Text: DOI
Freire, E.; Gamero, E.; Rodríguez-Luis, A. J.; Algaba, A. A note on the triple-zero linear degeneracy: normal forms, dynamical and bifurcation behaviors of an unfolding. (English) Zbl 1043.37042 Int. J. Bifurcation Chaos Appl. Sci. Eng. 12, No. 12, 2799-2820 (2002). MSC: 37G10 34C20 34C23 34C37 37G05 58K50 PDF BibTeX XML Cite \textit{E. Freire} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 12, No. 12, 2799--2820 (2002; Zbl 1043.37042) Full Text: DOI
Peng, Linping Unfolding of a quadratic integrable system with a homoclinic loop. (English) Zbl 1027.37037 Acta Math. Sin., Engl. Ser. 18, No. 4, 737-754 (2002). MSC: 37J35 37G15 34C08 34C07 37J40 PDF BibTeX XML Cite \textit{L. Peng}, Acta Math. Sin., Engl. Ser. 18, No. 4, 737--754 (2002; Zbl 1027.37037) Full Text: DOI
Algaba, A.; Fernández-Sánchez, F.; Freire, E.; Merino, M.; Rodríguez-Luis, A. J. Nontransversal curves of \(T\)-points: A source of closed curves of global bifurcations. (English) Zbl 0999.37035 Phys. Lett., A 303, No. 2-3, 204-211 (2002). MSC: 37G99 PDF BibTeX XML Cite \textit{A. Algaba} et al., Phys. Lett., A 303, No. 2--3, 204--211 (2002; Zbl 0999.37035) Full Text: DOI
Fernández-Sánchez, F.; Freire, E.; Rodríguez-Luis, A. J. T-points in a \(\mathbb Z_2\)-symmetric electronic oscillator. I: Analysis. (English) Zbl 1065.34038 Nonlinear Dyn. 28, No. 1, 53-69 (2002). MSC: 34C37 34C15 34C23 34C60 37G20 37G40 94C05 PDF BibTeX XML Cite \textit{F. Fernández-Sánchez} et al., Nonlinear Dyn. 28, No. 1, 53--69 (2002; Zbl 1065.34038) Full Text: DOI
Coti Zelati, Vittorio; Rabinowitz, Paul H. Heteroclinic solutions between stationary points at different energy levels. (English) Zbl 0984.37073 Topol. Methods Nonlinear Anal. 17, No. 1, 1-21 (2001). MSC: 37J45 34C37 37C29 70K44 PDF BibTeX XML Cite \textit{V. Coti Zelati} and \textit{P. H. Rabinowitz}, Topol. Methods Nonlinear Anal. 17, No. 1, 1--21 (2001; Zbl 0984.37073) Full Text: DOI
van der Heijden, G. H. M. The static deformation of a twisted elastic rod constrained to lie on a cylinder. (English) Zbl 1014.74043 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 457, No. 2007, 695-715 (2001). MSC: 74K10 37N15 PDF BibTeX XML Cite \textit{G. H. M. van der Heijden}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 457, No. 2007, 695--715 (2001; Zbl 1014.74043) Full Text: DOI
Sanchez, L. Heteroclinic connections for a class of non-autonomous systems. (English) Zbl 0971.34029 Electron. J. Differ. Equ. 2001, Conf. 06, 257-266 (2001). MSC: 34C37 34B15 34B18 PDF BibTeX XML Cite \textit{L. Sanchez}, Electron. J. Differ. Equ. 2001, 257--266 (2001; Zbl 0971.34029) Full Text: EMIS EuDML
Belykh, Vladimir N. Homoclinic and heteroclinic linkages in concrete systems: Nonlocal analysis and model maps. (English) Zbl 1029.37012 Lerman, L. (ed.) et al., Methods of qualitative theory of differential equations and related topics. Dedicated to the memory of E. A. Leontovich-Andronova. Transl. ed. by A. B. Sossinski. Providence, RI: American Mathematical Society (AMS). Transl., Ser. 2, Am. Math. Soc. 200(48), 51-62 (2000). Reviewer: Ana Nunes (Lisboa) MSC: 37C29 34C37 34C28 PDF BibTeX XML Cite \textit{V. N. Belykh}, Transl., Ser. 2, Am. Math. Soc. 200, 51--62 (2000; Zbl 1029.37012)
Tovbis, Alexander On approximation of stable and unstable manifolds and the Stokes phenomenon. (English) Zbl 0958.39026 Bona, Jerry (ed.) et al., Nonlinear PDE’s, dynamics and continuum physics. 1998 AMS-IMS-SIAM joint summer research conference, Mount Holyoke College, MA, USA, July 10-23, 1998. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 255, 199-228 (2000). MSC: 39A12 37C75 PDF BibTeX XML Cite \textit{A. Tovbis}, Contemp. Math. 255, 199--228 (2000; Zbl 0958.39026)
Fedorova, A. N.; Zeitlin, M. G. Wavelet approach to mechanical problems. Symplectic group, symplectic topology and symplectic scales. (English) Zbl 0964.70013 Moon, Francis C. (ed.), IUTAM symposium on new applications of nonlinear and chaotic dynamics in mechanics. Proceedings of the IUTAM symposium held in Ithaca, NY, USA, July 27-August 1, 1997. Dordrecht: Kluwer Academic Publishers. Solid Mech. Appl. 63, 31-40 (1999). MSC: 70G45 70H99 42C40 PDF BibTeX XML Cite \textit{A. N. Fedorova} and \textit{M. G. Zeitlin}, Solid Mech. Appl. 63, 31--40 (1999; Zbl 0964.70013)
Zhao, Yulin; Zhang, Zhifen Abelian integrals for cubic vector fields. (English) Zbl 0958.34026 Ann. Mat. Pura Appl., IV. Ser. 176, 251-272 (1999). Reviewer: Chen Lan Sun (Beijing) MSC: 34C07 34C08 34C05 34C23 34C37 PDF BibTeX XML Cite \textit{Y. Zhao} and \textit{Z. Zhang}, Ann. Mat. Pura Appl. (4) 176, 251--272 (1999; Zbl 0958.34026) Full Text: DOI
Freire, E.; Pizarro, L.; Rodrígues-Luis, A. J. Analytical and numerical study of a four-parameter family of mechanical oscillators. (English) Zbl 0963.70017 Mech. Res. Commun. 26, No. 3, 253-259 (1999). Reviewer: V.Sobolev (Samara) MSC: 70K50 70K44 PDF BibTeX XML Cite \textit{E. Freire} et al., Mech. Res. Commun. 26, No. 3, 253--259 (1999; Zbl 0963.70017) Full Text: DOI
Hunt, G. W.; Lord, G. J.; Champneys, A. R. Homoclinic and heteroclinic orbits underlying the post-buckling of axially-compressed cylindrical shells. (English) Zbl 0958.74021 Comput. Methods Appl. Mech. Eng. 170, No. 3-4, 239-251 (1999). MSC: 74G60 74K25 37N15 PDF BibTeX XML Cite \textit{G. W. Hunt} et al., Comput. Methods Appl. Mech. Eng. 170, No. 3--4, 239--251 (1999; Zbl 0958.74021) Full Text: DOI
Ma, Fuming Numerical computation of bounded solutions for a semilinear elliptic equation on an infinite strip. (English) Zbl 0942.65146 J. Comput. Math. 17, No. 2, 159-170 (1999). Reviewer: Karin Gatermann (Berlin) MSC: 65P10 35J65 37L10 37M15 PDF BibTeX XML Cite \textit{F. Ma}, J. Comput. Math. 17, No. 2, 159--170 (1999; Zbl 0942.65146)
Lombardi, Eric Non-persistence of homoclinic connections for perturbed integrable reversible systems. (English) Zbl 0929.34025 J. Dyn. Differ. Equations 11, No. 1, 129-208 (1999). Reviewer: Ale Jan Homburg (College Park) MSC: 34C05 76B15 34C60 34C37 34C25 PDF BibTeX XML Cite \textit{E. Lombardi}, J. Dyn. Differ. Equations 11, No. 1, 129--208 (1999; Zbl 0929.34025) Full Text: DOI
Fiedler, Bernold; Belhaq, Mohamed; Houssni, Mohamed Basins of attraction in strongly damped coupled mechanical oscillators: A global example. (English) Zbl 0919.70012 Z. Angew. Math. Phys. 50, No. 2, 282-300 (1999). MSC: 70K20 34D45 34D15 34C37 37C70 PDF BibTeX XML Cite \textit{B. Fiedler} et al., Z. Angew. Math. Phys. 50, No. 2, 282--300 (1999; Zbl 0919.70012) Full Text: DOI
Freire, E.; Pizarro, L.; Rodríguez-Luis, A. J. Numerical continuation of degenerate homoclinic orbits in planar systems. (English) Zbl 0921.65050 IMA J. Numer. Anal. 19, No. 1, 51-75 (1999). Reviewer: T.E.Simos (Xanthi) MSC: 65L05 37-XX PDF BibTeX XML Cite \textit{E. Freire} et al., IMA J. Numer. Anal. 19, No. 1, 51--75 (1999; Zbl 0921.65050) Full Text: DOI
Pacifico, M. J.; Rovella, A.; Viana, M. Infinite-modal maps with global chaotic behavior. (English) Zbl 0916.58029 Ann. Math. (2) 148, No. 2, 441-484 (1998); Corrigendum 149, No. 2, 705 (1999). Reviewer: Messoud Efendiev (Berlin) MSC: 37D45 PDF BibTeX XML Cite \textit{M. J. Pacifico} et al., Ann. Math. (2) 148, No. 2, 441--484 (1999; Zbl 0916.58029) Full Text: DOI Link
Thompson, G. Variational and integrable connections. (English) Zbl 0939.53015 J. Phys. A, Math. Gen. 31, No. 21, 4991-5000 (1998). MSC: 53C05 70H05 37J45 53C22 PDF BibTeX XML Cite \textit{G. Thompson}, J. Phys. A, Math. Gen. 31, No. 21, 4991--5000 (1998; Zbl 0939.53015) Full Text: DOI
Khibnik, Alexander I.; Krauskopf, Bernd; Rousseau, Christiane Global study of a family of cubic Liénard equations. (English) Zbl 0920.58034 Nonlinearity 11, No. 6, 1505-1519 (1998). Reviewer: M.Farkas (Budapest) MSC: 37G99 37G15 34C20 37N99 PDF BibTeX XML Cite \textit{A. I. Khibnik} et al., Nonlinearity 11, No. 6, 1505--1519 (1998; Zbl 0920.58034) Full Text: DOI
Rabinowitz, Paul H. Heteroclinics for a Hamiltonian system of double pendulum type. (English) Zbl 0898.34048 Topol. Methods Nonlinear Anal. 9, No. 1, 41-76 (1997). Reviewer: Ale Jan Homburg (Berlin) MSC: 34C37 37D40 53D25 58E30 37J99 PDF BibTeX XML Cite \textit{P. H. Rabinowitz}, Topol. Methods Nonlinear Anal. 9, No. 1, 41--76 (1997; Zbl 0898.34048) Full Text: DOI
Nakaki, Tatsuyuki On the heteroclinic orbit of the point vortex problem. (English) Zbl 0893.34040 Nonlinear Anal., Theory Methods Appl. 30, No. 5, 3195-3200 (1997). Reviewer: Ale Jan Homburg MSC: 34C37 37J99 34M99 PDF BibTeX XML Cite \textit{T. Nakaki}, Nonlinear Anal., Theory Methods Appl. 30, No. 5, 3195--3200 (1997; Zbl 0893.34040) Full Text: DOI
Tovbis, Alexander Homoclinic connections and numerical integration. (English) Zbl 0885.65082 Numer. Algorithms 14, No. 1-3, 261-267 (1997); erratum ibid. 17, No. 2-4, 355 (1998). Reviewer: B.V.Loginov (Ul’yanovsk) MSC: 65L05 34A34 34C37 65L20 PDF BibTeX XML Cite \textit{A. Tovbis}, Numer. Algorithms 14, No. 1--3, 261--267 (1997; Zbl 0885.65082) Full Text: DOI
Lomelí, Héctor E. Saddle connections and heteroclinic orbits for standard maps. (English) Zbl 0886.58036 Nonlinearity 9, No. 3, 649-668 (1996). MSC: 37J99 70H15 34C37 70K99 PDF BibTeX XML Cite \textit{H. E. Lomelí}, Nonlinearity 9, No. 3, 649--668 (1996; Zbl 0886.58036) Full Text: DOI
Blázquez, M.; Tuma, E. Chaotic behavior of orbits close to a heteroclinic contour. (English) Zbl 0873.34038 Int. J. Bifurcation Chaos Appl. Sci. Eng. 6, No. 1, 69-79 (1996). MSC: 34C37 94C05 37D45 PDF BibTeX XML Cite \textit{M. Blázquez} and \textit{E. Tuma}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 6, No. 1, 69--79 (1996; Zbl 0873.34038) Full Text: DOI
Wang, Qiudong More on heteroclinic orbits for monotone twist maps. (English) Zbl 0859.34031 Saari, Donald G. (ed.) et al., Hamiltonian dynamics and celestial mechanics. A joint summer research conference, June 25–29, 1995, Seattle, WA, USA. Providence, RI: American Mathematical Society. Contemp. Math. 198, 197-206 (1996). MSC: 34C37 34A26 37J99 PDF BibTeX XML Cite \textit{Q. Wang}, Contemp. Math. 198, 197--206 (1996; Zbl 0859.34031)
Haller, George; Wiggins, Stephen Geometry and chaos near resonant equilibria of 3-DOF Hamiltonian systems. (English) Zbl 0894.70014 Physica D 90, No. 3-4, 319-365 (1996). MSC: 70K50 70H05 37D45 PDF BibTeX XML Cite \textit{G. Haller} and \textit{S. Wiggins}, Physica D 90, No. 3--4, 319--365 (1996; Zbl 0894.70014) Full Text: DOI
Doelman, Arjen; Holmes, Philip On the creation of multi-pulse traveling waves by global bifurcations. (English) Zbl 0867.35042 Mielke, A. (ed.) et al., Structure and dynamics of nonlinear waves in fluids. Proceedings of the IUTAM/ ISIMM symposium, Hannover, Germany, August 17–20, 1994. Singapore: World Scientific. Adv. Ser. Nonlinear Dyn. 7, 201-208 (1995). MSC: 35K55 34C37 34C23 PDF BibTeX XML Cite \textit{A. Doelman} and \textit{P. Holmes}, Adv. Ser. Nonlinear Dyn. 7, 201--208 (1995; Zbl 0867.35042)