Efendiyev, Messoud; Hu, Qingwen Global Hopf bifurcation for differential equations with multiple threshold-type state-dependent delays. (English) Zbl 07823734 Math. Methods Appl. Sci. 47, No. 2, 1065-1094 (2024). MSC: 37G15 37G40 PDFBibTeX XMLCite \textit{M. Efendiyev} and \textit{Q. Hu}, Math. Methods Appl. Sci. 47, No. 2, 1065--1094 (2024; Zbl 07823734) Full Text: DOI
Hooton, Edward; Balanov, Zalman; Rachinskii, Dmitrii Guaranteed estimates for the length of branches of periodic orbits for equivariant Hopf bifurcation. (English) Zbl 1465.34039 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 13, Article ID 2050198, 16 p. (2020). Reviewer: Tao Li (Chengdu) MSC: 34C05 34C23 34C14 37G40 PDFBibTeX XMLCite \textit{E. Hooton} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 13, Article ID 2050198, 16 p. (2020; Zbl 1465.34039) Full Text: DOI arXiv
Bountis, Anastasios; Kominis, Yannis; Shena, Joniald; Kovanis, Vassilios Complex dynamics induced by asymmetry in coupled laser systems. (English) Zbl 1441.78022 Russ. J. Nonlinear Dyn. 15, No. 4, 429-455 (2019). MSC: 78A60 34C05 34D23 37C27 37G15 37G40 82D37 PDFBibTeX XMLCite \textit{A. Bountis} et al., Russ. J. Nonlinear Dyn. 15, No. 4, 429--455 (2019; Zbl 1441.78022) Full Text: DOI MNR
Balanov, Zalman; Kravetc, Pavel; Krawcewicz, Wieslaw; Rachinskii, Dmitrii Equivariant degree method for analysis of Hopf bifurcation of relative periodic solutions: case study of a ring of oscillators. (English) Zbl 1397.34121 J. Differ. Equations 265, No. 9, 4530-4574 (2018). MSC: 34K18 37G40 34K13 34K60 PDFBibTeX XMLCite \textit{Z. Balanov} et al., J. Differ. Equations 265, No. 9, 4530--4574 (2018; Zbl 1397.34121) Full Text: DOI
Budzinskiy, Stanislav; Razgulin, Alexander Normal form of \(O(2)\) Hopf bifurcation in a model of a nonlinear optical system with diffraction and delay. (English) Zbl 1413.37035 Electron. J. Qual. Theory Differ. Equ. 2017, Paper No. 50, 12 p. (2017). MSC: 37G05 37G40 78A60 PDFBibTeX XMLCite \textit{S. Budzinskiy} and \textit{A. Razgulin}, Electron. J. Qual. Theory Differ. Equ. 2017, Paper No. 50, 12 p. (2017; Zbl 1413.37035) Full Text: DOI
Balanov, Zalman; Hooton, Edward; Murza, Adrian Periodic solutions of vdP and vdP-like systems on 3-tori. (English) Zbl 1390.37089 Topol. Methods Nonlinear Anal. 50, No. 1, 253-268 (2017). Reviewer: A. P. Sadovskii (Minsk) MSC: 37G40 34C25 34C40 34C23 PDFBibTeX XMLCite \textit{Z. Balanov} et al., Topol. Methods Nonlinear Anal. 50, No. 1, 253--268 (2017; Zbl 1390.37089) Full Text: DOI arXiv
Dabkowski, Mieczyslaw; Krawcewicz, Wieslaw; Lv, Yanli Twisted \(\Gamma \times \mathbb T^n\)-equivariant degree with \(n\)-parameters: computational formulae and applications. (English) Zbl 1491.58008 J. Fixed Point Theory Appl. 19, No. 3, 1727-1773 (2017). MSC: 58E09 47H11 37G40 55M25 34K18 34K13 PDFBibTeX XMLCite \textit{M. Dabkowski} et al., J. Fixed Point Theory Appl. 19, No. 3, 1727--1773 (2017; Zbl 1491.58008) Full Text: DOI
Zhang, Chunrui; Sui, Zhenzhang; Li, Hongpeng Equivariant bifurcation in a coupled complex-valued neural network rings. (English) Zbl 1372.82036 Chaos Solitons Fractals 98, 22-30 (2017). MSC: 82C32 37G40 PDFBibTeX XMLCite \textit{C. Zhang} et al., Chaos Solitons Fractals 98, 22--30 (2017; Zbl 1372.82036) Full Text: DOI
Balanov, Zalman; Wu, Hao-Pin Bifurcation of space periodic solutions in symmetric reversible FDEs. (English) Zbl 1413.37039 Differ. Integral Equ. 30, No. 3-4, 289-328 (2017). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37G40 34K18 70K28 70K30 PDFBibTeX XMLCite \textit{Z. Balanov} and \textit{H.-P. Wu}, Differ. Integral Equ. 30, No. 3--4, 289--328 (2017; Zbl 1413.37039) Full Text: arXiv
Hooton, Edward; Balanov, Zalman; Krawcewicz, Wieslaw; Rachinskii, Dmitrii Sliding Hopf bifurcation in interval systems. (English) Zbl 1360.37125 Discrete Contin. Dyn. Syst. 37, No. 7, 3545-3566 (2017). MSC: 37G15 37G40 PDFBibTeX XMLCite \textit{E. Hooton} et al., Discrete Contin. Dyn. Syst. 37, No. 7, 3545--3566 (2017; Zbl 1360.37125) Full Text: DOI arXiv
Murza, Adrian C. The cyclic Hopf \(H\bmod K\) Theorem. (English) Zbl 1389.37014 Math. Rep., Buchar. 18(68), No. 3, 327-334 (2016). MSC: 37C80 37G40 34C15 34C23 34C25 PDFBibTeX XMLCite \textit{A. C. Murza}, Math. Rep., Buchar. 18(68), No. 3, 327--334 (2016; Zbl 1389.37014) Full Text: arXiv
Ashwin, Peter; Rodrigues, Ana Hopf normal form with \(S_N\) symmetry and reduction to systems of nonlinearly coupled phase oscillators. (English) Zbl 1364.34041 Physica D 325, 14-24 (2016). MSC: 34C15 34C23 37G40 34C60 PDFBibTeX XMLCite \textit{P. Ashwin} and \textit{A. Rodrigues}, Physica D 325, 14--24 (2016; Zbl 1364.34041) Full Text: DOI arXiv
Zheng, Baodong; Yin, Haidong; Zhang, Chunrui Equivariant Hopf-pitchfork bifurcation of symmetric coupled neural network with delay. (English) Zbl 1352.34098 Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 12, Article ID 1650205, 11 p. (2016). MSC: 34K18 92B20 37G40 34K17 34K13 PDFBibTeX XMLCite \textit{B. Zheng} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 12, Article ID 1650205, 11 p. (2016; Zbl 1352.34098) Full Text: DOI
Murza, Adrian C.; Yu, Pei Coupled oscillatory systems with 4 symmetry and application to van der Pol oscillators. (English) Zbl 1345.34060 Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 8, Article ID 1650141, 18 p. (2016). MSC: 34C15 34C14 37G40 34C23 34C05 34C37 PDFBibTeX XMLCite \textit{A. C. Murza} and \textit{P. Yu}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 8, Article ID 1650141, 18 p. (2016; Zbl 1345.34060) Full Text: DOI
Salgado Labouriau, Isabel; Murza, Adrian Calin Hopf bifurcation with tetrahedral and octahedral symmetry. (English) Zbl 1364.37064 SIAM J. Appl. Dyn. Syst. 15, No. 1, 125-141 (2016). MSC: 37C80 37G40 34D06 34C23 34C25 PDFBibTeX XMLCite \textit{I. Salgado Labouriau} and \textit{A. C. Murza}, SIAM J. Appl. Dyn. Syst. 15, No. 1, 125--141 (2016; Zbl 1364.37064) Full Text: DOI arXiv
Li, Tong; Yao, Jinghua Equivariant Hopf bifurcation with general pressure laws. (English) Zbl 1364.35034 Physica D 310, 79-94 (2015). MSC: 35B32 37G40 37G05 PDFBibTeX XMLCite \textit{T. Li} and \textit{J. Yao}, Physica D 310, 79--94 (2015; Zbl 1364.35034) Full Text: DOI arXiv
Murza, Adrian C. Hopf bifurcation and heteroclinic cycles in a class of \(\mathbb D_2\)-equivariant systems. (English) Zbl 1374.37036 Math. Rep., Buchar. 17(67), No. 4, 369-383 (2015). MSC: 37C80 37G40 34C15 34D06 37C29 PDFBibTeX XMLCite \textit{A. C. Murza}, Math. Rep., Buchar. 17(67), No. 4, 369--383 (2015; Zbl 1374.37036) Full Text: arXiv
Hou, Aiyu; Guo, Shangjiang Stability and Hopf bifurcation in van der Pol oscillators with state-dependent delayed feedback. (English) Zbl 1331.34140 Nonlinear Dyn. 79, No. 4, 2407-2419 (2015). MSC: 34K18 34K27 34K25 92B20 37G40 37G05 PDFBibTeX XMLCite \textit{A. Hou} and \textit{S. Guo}, Nonlinear Dyn. 79, No. 4, 2407--2419 (2015; Zbl 1331.34140) Full Text: DOI
Ying, Jinyong; Yuan, Yuan Codimension one and two bifurcations in a symmetrical ring network with delay. (English) Zbl 1307.65176 J. Math. Anal. Appl. 425, No. 2, 1155-1176 (2015). MSC: 65P30 37G40 22E27 37C75 PDFBibTeX XMLCite \textit{J. Ying} and \textit{Y. Yuan}, J. Math. Anal. Appl. 425, No. 2, 1155--1176 (2015; Zbl 1307.65176) Full Text: DOI
Konopleva, I. V.; Loginov, B. V. Group symmetry of dynamic bifurcation problems with the Schmidt spectrum in the linearization. (Russian) Zbl 1349.34124 Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform. 14, No. 4, 50-63 (2014). MSC: 34C23 34C14 47J15 37G40 34C25 PDFBibTeX XMLCite \textit{I. V. Konopleva} and \textit{B. V. Loginov}, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform. 14, No. 4, 50--63 (2014; Zbl 1349.34124) Full Text: MNR
Balanov, Zalman; Krawcewicz, Wieslaw; Li, Zhichao Symmetric Hopf bifurcation in implicit neutral functional differential equations: equivariant degree approach. (English) Zbl 1316.47047 J. Fixed Point Theory Appl. 16, No. 1-2, 109-147 (2014). MSC: 47H11 34K40 37G40 92C15 34C23 PDFBibTeX XMLCite \textit{Z. Balanov} et al., J. Fixed Point Theory Appl. 16, No. 1--2, 109--147 (2014; Zbl 1316.47047) Full Text: DOI
Kitanov, P. M.; Langford, W.; Willms, A. R. Double Hopf bifurcation with Huygens symmetry. (English) Zbl 1284.34051 SIAM J. Appl. Dyn. Syst. 12, No. 1, 126-174 (2013). MSC: 34C23 34D06 37G15 37G40 70K30 34C14 34C46 34C45 PDFBibTeX XMLCite \textit{P. M. Kitanov} et al., SIAM J. Appl. Dyn. Syst. 12, No. 1, 126--174 (2013; Zbl 1284.34051) Full Text: DOI Link
Wang, Jiafu; Zhou, Xiangnan; Huang, Lihong Hopf bifurcation and multiple periodic solutions in Lotka-Volterra systems with symmetries. (English) Zbl 1267.34140 Nonlinear Anal., Real World Appl. 14, No. 3, 1817-1828 (2013). Reviewer: Zhanyuan Hou (London) MSC: 34K60 34K18 34K13 92D25 34C14 37G40 PDFBibTeX XMLCite \textit{J. Wang} et al., Nonlinear Anal., Real World Appl. 14, No. 3, 1817--1828 (2013; Zbl 1267.34140) Full Text: DOI
Loginov, B. V.; Konopleva, I. V.; Mironova, L. V. Dynamic bifurcation problems with E. Schmidt spectrum in the linearization under group symmetry condition. (Russian. English summary) Zbl 1299.37047 Zh. Sredn. Mat. Obshch. 14, No. 1, 25-35 (2012). Reviewer: Tatiana Mamedova (Saransk) MSC: 37G15 37G40 58E09 PDFBibTeX XMLCite \textit{B. V. Loginov} et al., Zh. Sredn. Mat. Obshch. 14, No. 1, 25--35 (2012; Zbl 1299.37047)
Sun, Xianbo; Yang, Junmin Small limit cycles bifurcating from \(Z_4\)-equivariant near-Hamiltonian system of degrees 9 and 7. (English) Zbl 1258.34061 Int. J. Bifurcation Chaos Appl. Sci. Eng. 22, No. 11, Paper No. 1250272, 12 p. (2012). MSC: 34C07 34C05 34C23 37G40 PDFBibTeX XMLCite \textit{X. Sun} and \textit{J. Yang}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 22, No. 11, Paper No. 1250272, 12 p. (2012; Zbl 1258.34061) Full Text: DOI
Balanov, Z.; Krawcewicz, W.; Rachinskii, D.; Zhezherun, A. Hopf bifurcation in symmetric networks of coupled oscillators with hysteresis. (English) Zbl 1264.34093 J. Dyn. Differ. Equations 24, No. 4, 713-759 (2012). MSC: 34C55 34C15 34C14 34C23 37G40 PDFBibTeX XMLCite \textit{Z. Balanov} et al., J. Dyn. Differ. Equations 24, No. 4, 713--759 (2012; Zbl 1264.34093) Full Text: DOI
Antoneli, Fernando; Dias, Ana Paula S.; Paiva, Rui Coupled cell networks: Hopf bifurcation and interior symmetry. (English) Zbl 1306.37050 Discrete Contin. Dyn. Syst. 2011, Suppl., 71-78 (2011). MSC: 37G40 92C42 PDFBibTeX XMLCite \textit{F. Antoneli} et al., Discrete Contin. Dyn. Syst. 2011, 71--78 (2011; Zbl 1306.37050) Full Text: Link
Chaperon, Marc Generalised Hopf bifurcations: a birth lemma. (English) Zbl 1285.34026 Mosc. Math. J. 11, No. 3, 413-438 (2011). MSC: 34C23 34K18 37G05 37G10 37G15 37G35 37G40 PDFBibTeX XMLCite \textit{M. Chaperon}, Mosc. Math. J. 11, No. 3, 413--438 (2011; Zbl 1285.34026) Full Text: Link
Liu, Lingling; Gao, Bo Conditions for appearance and disappearance of limit cycles in the Shimizu-Morioka system. (English) Zbl 1248.34067 Int. J. Bifurcation Chaos Appl. Sci. Eng. 21, No. 9, 2489-2503 (2011). MSC: 34C60 34C05 34C23 37G40 PDFBibTeX XMLCite \textit{L. Liu} and \textit{B. Gao}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 21, No. 9, 2489--2503 (2011; Zbl 1248.34067) Full Text: DOI
Zhang, Chunrui; Zheng, Huifeng \(D_{3}\)-equivariant coupled advertising oscillators model. (English) Zbl 1221.34182 Commun. Nonlinear Sci. Numer. Simul. 16, No. 4, 1706-1711 (2011). MSC: 34K13 34C15 34K18 37G40 PDFBibTeX XMLCite \textit{C. Zhang} and \textit{H. Zheng}, Commun. Nonlinear Sci. Numer. Simul. 16, No. 4, 1706--1711 (2011; Zbl 1221.34182) Full Text: DOI
Song, Yongli Hopf bifurcation and spatio-temporal patterns in delay-coupled van der Pol oscillators. (English) Zbl 1215.34084 Nonlinear Dyn. 63, No. 1-2, 223-237 (2011). MSC: 34K18 34C15 37G15 37G40 70K50 PDFBibTeX XMLCite \textit{Y. Song}, Nonlinear Dyn. 63, No. 1--2, 223--237 (2011; Zbl 1215.34084) Full Text: DOI
Dangelmayr, Gerhard Complex dynamics near a Hopf bifurcation with symmetry: a parameter study. (English) Zbl 1230.34038 Dyn. Syst. 26, No. 1, 23-60 (2011). Reviewer: Alois Steindl (Wien) MSC: 34C23 34C28 37C80 37G05 37G35 37G40 34C14 34C20 65P30 34D45 PDFBibTeX XMLCite \textit{G. Dangelmayr}, Dyn. Syst. 26, No. 1, 23--60 (2011; Zbl 1230.34038) Full Text: DOI
Broer, Henk W.; Holtman, Sijbo J.; Vegter, Gert; Vitolo, Renato Dynamics and geometry near resonant bifurcations. (English) Zbl 1218.37064 Regul. Chaotic Dyn. 16, No. 1-2, 39-50 (2011). Reviewer: Fengqin Zhang (Yuncheng) MSC: 37G15 34C25 34C29 37G40 PDFBibTeX XMLCite \textit{H. W. Broer} et al., Regul. Chaotic Dyn. 16, No. 1--2, 39--50 (2011; Zbl 1218.37064) Full Text: DOI
Sheu, Tony Wen-Hann; Lin, Reui-Kuo Three-dimensional bifurcations in a cubic cavity due to buoyancy-driven natural convection. (English) Zbl 1205.80046 Int. J. Heat Mass Transfer 54, No. 1-3, 447-467 (2011). MSC: 80A20 76R10 76E06 37N10 37G40 76D05 PDFBibTeX XMLCite \textit{T. W. H. Sheu} and \textit{R.-K. Lin}, Int. J. Heat Mass Transfer 54, No. 1--3, 447--467 (2011; Zbl 1205.80046) Full Text: DOI Link
Balanov, Zalman; Krawcewicz, Wieslaw; Rybicki, Sławomir; Steinlein, Heinrich A short treatise on the equivariant degree theory and its applications. (English) Zbl 1206.47057 J. Fixed Point Theory Appl. 8, No. 1, 1-74 (2010). Reviewer: Aleksandar Perović (Berlin) MSC: 47H11 34C60 37G40 70F10 92C15 34C14 34K13 47-02 PDFBibTeX XMLCite \textit{Z. Balanov} et al., J. Fixed Point Theory Appl. 8, No. 1, 1--74 (2010; Zbl 1206.47057) Full Text: DOI
Tonosaki, Y.; Ohta, T.; Zykov, V. Phase description of nonlinear dissipative waves under space-time-dependent external forcing. (English) Zbl 1204.37056 Physica D 239, No. 17, 1718-1722 (2010). Reviewer: Oleg V. Makeev (Ulyanovsk) MSC: 37G40 PDFBibTeX XMLCite \textit{Y. Tonosaki} et al., Physica D 239, No. 17, 1718--1722 (2010; Zbl 1204.37056) Full Text: DOI
Ikeda, Hideo; Ei, Shin-Ichiro Front dynamics in heterogeneous diffusive media. (English) Zbl 1207.37041 Physica D 239, No. 17, 1637-1649 (2010). Reviewer: A. P. Sadovskii (Minsk) MSC: 37G40 35K57 PDFBibTeX XMLCite \textit{H. Ikeda} and \textit{S.-I. Ei}, Physica D 239, No. 17, 1637--1649 (2010; Zbl 1207.37041) Full Text: DOI
Broer, H. W.; Holtman, S. J.; Vegter, G. Recognition of resonance type in periodically forced oscillators. (English) Zbl 1205.37063 Physica D 239, No. 17, 1627-1636 (2010). Reviewer: Paul Georgescu (Iaşi) MSC: 37G15 34C25 37G40 PDFBibTeX XMLCite \textit{H. W. Broer} et al., Physica D 239, No. 17, 1627--1636 (2010; Zbl 1205.37063) Full Text: DOI Link
Algaba, Antonio; Fernández-Sánchez, Fernando; Merino, Manuel; Rodríguez-Luis, Alejandro J. Analysis of the T-point-Hopf bifurcation with \(\mathbb Z_2\)-symmetry. Application to Chua’s equation. (English) Zbl 1193.34078 Int. J. Bifurcation Chaos Appl. Sci. Eng. 20, No. 4, 979-993 (2010). MSC: 34C23 37G20 34C14 34C37 37G40 34C28 37D45 PDFBibTeX XMLCite \textit{A. Algaba} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 20, No. 4, 979--993 (2010; Zbl 1193.34078) Full Text: DOI
Hu, Qingwen; Wu, Jianhong Global Hopf bifurcation for differential equations with state-dependent delay. (English) Zbl 1214.34057 J. Differ. Equations 248, No. 12, 2801-2840 (2010). Reviewer: Jan Sieber (Portsmouth) MSC: 34K18 47N20 37G40 PDFBibTeX XMLCite \textit{Q. Hu} and \textit{J. Wu}, J. Differ. Equations 248, No. 12, 2801--2840 (2010; Zbl 1214.34057) Full Text: DOI
Filipski, Natasha; Golubitsky, Martin The abelian Hopf \(H\) mod \(K\) theorem. (English) Zbl 1198.37088 SIAM J. Appl. Dyn. Syst. 9, No. 2, 283-291 (2010). Reviewer: A. P. Sadovskii (Minsk) MSC: 37G40 34C23 34C25 PDFBibTeX XMLCite \textit{N. Filipski} and \textit{M. Golubitsky}, SIAM J. Appl. Dyn. Syst. 9, No. 2, 283--291 (2010; Zbl 1198.37088) Full Text: DOI
Buonomo, B.; Lacitignola, D.; Rionero, S. Effect of prey growth and predator cannibalism rate on the stability of a structured population model. (English) Zbl 1180.37127 Nonlinear Anal., Real World Appl. 11, No. 2, 1170-1181 (2010). MSC: 37N25 92D25 37G40 PDFBibTeX XMLCite \textit{B. Buonomo} et al., Nonlinear Anal., Real World Appl. 11, No. 2, 1170--1181 (2010; Zbl 1180.37127) Full Text: DOI
Yuan, Sanling; Zhang, Fengqin Stability and global Hopf bifurcation in a delayed predator-prey system. (English) Zbl 1183.37156 Nonlinear Anal., Real World Appl. 11, No. 2, 959-977 (2010); retraction note ibid. 47, 496 p. (2019). MSC: 37N25 34K60 34K18 34K13 92D25 34K17 34K19 37G40 PDFBibTeX XMLCite \textit{S. Yuan} and \textit{F. Zhang}, Nonlinear Anal., Real World Appl. 11, No. 2, 959--977 (2010; Zbl 1183.37156) Full Text: DOI
Hu, Guang-Ping; Li, Wan-Tong Hopf bifurcation analysis for a delayed predator-prey system with diffusion effects. (English) Zbl 1181.37119 Nonlinear Anal., Real World Appl. 11, No. 2, 819-826 (2010). MSC: 37N25 92D25 37G40 PDFBibTeX XMLCite \textit{G.-P. Hu} and \textit{W.-T. Li}, Nonlinear Anal., Real World Appl. 11, No. 2, 819--826 (2010; Zbl 1181.37119) Full Text: DOI
Saker, S. H. Stability and Hopf bifurcations of nonlinear delay malaria epidemic model. (English) Zbl 1181.37121 Nonlinear Anal., Real World Appl. 11, No. 2, 784-799 (2010). MSC: 37N25 92D30 37B25 37G40 PDFBibTeX XMLCite \textit{S. H. Saker}, Nonlinear Anal., Real World Appl. 11, No. 2, 784--799 (2010; Zbl 1181.37121) Full Text: DOI
Alomari, M. M.; Rodanski, B. S. The effects of machine components on bifurcation and chaos as applied to multimachine system. (English) Zbl 1183.37157 Skiadas, Christos H. (ed.) et al., Topics on chaotic systems. Selected papers from CHAOS 2008 international conference on chaotic modeling, simulation and applications, Chania, Crete, Greece, 3–6 June 2008. Hackensack, NJ: World Scientific (ISBN 978-981-4271-33-2/hbk). 1-13 (2009). MSC: 37N35 70K50 34C23 78A55 37G40 37D45 PDFBibTeX XMLCite \textit{M. M. Alomari} and \textit{B. S. Rodanski}, in: Topics on chaotic systems. Selected papers from CHAOS 2008 international conference on chaotic modeling, simulation and applications, Chania, Crete, Greece, 3--6 June 2008. Hackensack, NJ: World Scientific. 1--13 (2009; Zbl 1183.37157)
Fan, Dejun; Wei, Junjie Equivariant Hopf bifurcation in a ring of identical cells with delay. (English) Zbl 1182.37035 Math. Probl. Eng. 2009, Article ID 950251, 34 p. (2009). MSC: 37G40 34C23 92B20 92C37 PDFBibTeX XMLCite \textit{D. Fan} and \textit{J. Wei}, Math. Probl. Eng. 2009, Article ID 950251, 34 p. (2009; Zbl 1182.37035) Full Text: DOI EuDML
Dias, Ana Paula S.; Matthews, Paul C.; Rodrigues, Ana Generating functions for Hopf bifurcation with \(S_n\)-symmetry. (English) Zbl 1183.37097 Discrete Contin. Dyn. Syst. 25, No. 3, 823-842 (2009). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37G40 13A50 37C80 PDFBibTeX XMLCite \textit{A. P. S. Dias} et al., Discrete Contin. Dyn. Syst. 25, No. 3, 823--842 (2009; Zbl 1183.37097) Full Text: DOI
Campbell, Sue Ann; Stone, Emily; Erneux, Thomas Delay induced canards in a model of high speed machining. (English) Zbl 1185.37135 Dyn. Syst. 24, No. 3, 373-392 (2009). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 37G40 70K20 34K19 70F40 PDFBibTeX XMLCite \textit{S. A. Campbell} et al., Dyn. Syst. 24, No. 3, 373--392 (2009; Zbl 1185.37135) Full Text: DOI Link
Broer, H. W.; Holtman, S. J.; Vegter, G.; Vitolo, R. Geometry and dynamics of mildly degenerate Hopf-Neĭmarck-Sacker families near resonance. (English) Zbl 1179.37070 Nonlinearity 22, No. 9, 2161-2200 (2009). Reviewer: Alois Klíč (Praha) MSC: 37G15 37G40 37C25 PDFBibTeX XMLCite \textit{H. W. Broer} et al., Nonlinearity 22, No. 9, 2161--2200 (2009; Zbl 1179.37070) Full Text: DOI
Rai, Bindhyachal; Krawcewicz, Wieslaw Hopf bifurcation in symmetric configuration of predator-prey-mutualist systems. (English) Zbl 1165.92037 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 9, 4279-4296 (2009). MSC: 92D40 34C60 34C23 37G40 34C14 PDFBibTeX XMLCite \textit{B. Rai} and \textit{W. Krawcewicz}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 9, 4279--4296 (2009; Zbl 1165.92037) Full Text: DOI
Song, Yongli; Tadé, Moses O.; Zhang, Tonghua Bifurcation analysis and spatio-temporal patterns of nonlinear oscillations in a delayed neural network with unidirectional coupling. (English) Zbl 1171.34058 Nonlinearity 22, No. 5, 975-1001 (2009). Reviewer: Angela Slavova (Sofia) MSC: 34K60 92B20 34K20 37G40 34K18 34K19 34K13 PDFBibTeX XMLCite \textit{Y. Song} et al., Nonlinearity 22, No. 5, 975--1001 (2009; Zbl 1171.34058) Full Text: DOI
Balanov, Zalman; Krawcewicz, Wieslaw Symmetric Hopf bifurcation: twisted degree approach. (English) Zbl 1192.34002 Battelli, Flaviano (ed.) et al., Handbook of differential equations: Ordinary differential equations. Vol. IV. Amsterdam: Elsevier/North Holland (ISBN 978-0-444-53031-8/hbk). Handbook of Differential Equations, 1-131 (2008). Reviewer: Oleg V. Makeev (Ulyanovsk) MSC: 34-02 37G40 34C23 34C14 35B32 35R10 47N20 34K18 34C05 34K13 34C25 34K30 PDFBibTeX XMLCite \textit{Z. Balanov} and \textit{W. Krawcewicz}, in: Handbook of differential equations: Ordinary differential equations. Vol. IV. Amsterdam: Elsevier/North Holland. 1--131 (2008; Zbl 1192.34002)
Grishina, S. A.; Konopleva, I. V.; Makeev, O. V.; Rousak, Yu. B. Potential branching equation of Poincaré-Andronov-Hopf bifurcation with SO(2) symmetry. (Russian. English summary) Zbl 1179.58007 Vestn. Ul’yanovsk. Gos. Tekh. Univ., Ser. Estestv. Nauki 2008, No. 1, 40-41 (2008). MSC: 58E09 37G15 37G40 PDFBibTeX XMLCite \textit{S. A. Grishina} et al., Vestn. Ul'yanovsk. Gos. Tekh. Univ., Ser. Estestv. Nauki 2008, No. 1, 40--41 (2008; Zbl 1179.58007)
Broer, H. W.; Holtman, S. J.; Vegter, G. Recognition of the bifurcation type of resonance in mildly degenerate Hopf-Neĭmark-Sacker families. (English) Zbl 1160.37015 Nonlinearity 21, No. 10, 2463-2482 (2008). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 37G15 37G40 34C25 PDFBibTeX XMLCite \textit{H. W. Broer} et al., Nonlinearity 21, No. 10, 2463--2482 (2008; Zbl 1160.37015) Full Text: DOI
Fiedler, Bernold; Flunkert, Valentin; Georgi, Marc; Hövel, Philipp; Schöll, Eckehard Delay stabilization of rotating waves without odd number limitation. (English) Zbl 1160.37429 Schuster, Heinz Georg (ed.), Reviews of nonlinear dynamics and complexity. Vol. 1. Weinheim: Wiley-VCH (ISBN 978-3-527-40729-3/hbk). 53-68 (2008). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 37N20 37G40 34C25 93D15 PDFBibTeX XMLCite \textit{B. Fiedler} et al., in: Reviews of nonlinear dynamics and complexity. Vol. 1. Weinheim: Wiley-VCH. 53--68 (2008; Zbl 1160.37429)
Antoneli, Fernando; Dias, Ana Paula S.; Matthews, Paul C. Invariants, equivariants and characters in symmetric bifurcation theory. (English) Zbl 1160.34034 Proc. R. Soc. Edinb., Sect. A, Math. 138, No. 3, 477-512 (2008). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 34C23 34C14 37C80 37G40 PDFBibTeX XMLCite \textit{F. Antoneli} et al., Proc. R. Soc. Edinb., Sect. A, Math. 138, No. 3, 477--512 (2008; Zbl 1160.34034) Full Text: DOI
Jiang, Jiao; Han, Maoan Melnikov function and limit cycle bifurcation from a nilpotent center. (English) Zbl 1143.37043 Bull. Sci. Math. 132, No. 3, 182-193 (2008). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 37J40 37J20 37G15 37G40 PDFBibTeX XMLCite \textit{J. Jiang} and \textit{M. Han}, Bull. Sci. Math. 132, No. 3, 182--193 (2008; Zbl 1143.37043) Full Text: DOI
Dangelmayr, G.; Oprea, I. Modulational stability of travelling waves in 2D anisotropic systems. (English) Zbl 1143.35335 J. Nonlinear Sci. 18, No. 1, 1-56 (2008). MSC: 35K55 35B32 34E13 37G40 47J35 70K50 74J30 35K40 PDFBibTeX XMLCite \textit{G. Dangelmayr} and \textit{I. Oprea}, J. Nonlinear Sci. 18, No. 1, 1--56 (2008; Zbl 1143.35335) Full Text: DOI
Golubitsky, Martin; Shiau, Liejune; Stewart, Ian Spatiotemporal symmetries in the disynaptic canal-neck projection. (English) Zbl 1129.92015 SIAM J. Appl. Math. 67, No. 5, 1396-1417 (2007). MSC: 92C20 37G40 34C25 37N25 20G99 PDFBibTeX XMLCite \textit{M. Golubitsky} et al., SIAM J. Appl. Math. 67, No. 5, 1396--1417 (2007; Zbl 1129.92015) Full Text: DOI
Chan, David; Melbourne, Ian A geometric characterisation of resonance in Hopf bifurcation from relative equilibria. (English) Zbl 1162.34029 Physica D 234, No. 2, 98-104 (2007). Reviewer: Jürgen Knobloch (Ilmenau) MSC: 34C23 37G40 34C20 34C14 34A26 34C25 PDFBibTeX XMLCite \textit{D. Chan} and \textit{I. Melbourne}, Physica D 234, No. 2, 98--104 (2007; Zbl 1162.34029) Full Text: DOI Link
Sun, Mei; Tian, Lixin; Fu, Ying Energy demand-supply model fo Jiangsu-West and its dynamical analysis. (Chinese. English summary) Zbl 1124.37312 J. Syst. Sci. Math. Sci. 26, No. 6, 658-669 (2006). MSC: 37N99 37D45 37G40 37C25 37C29 PDFBibTeX XMLCite \textit{M. Sun} et al., J. Syst. Sci. Math. Sci. 26, No. 6, 658--669 (2006; Zbl 1124.37312)
Comanici, Adela N. Transition from rotating waves to modulated rotating waves on the sphere. (English) Zbl 1210.37051 SIAM J. Appl. Dyn. Syst. 5, No. 4, 759-782 (2006). MSC: 37L10 34A26 34C60 35B32 35K57 37G15 37N25 PDFBibTeX XMLCite \textit{A. N. Comanici}, SIAM J. Appl. Dyn. Syst. 5, No. 4, 759--782 (2006; Zbl 1210.37051) Full Text: DOI arXiv
Oksasoglu, Ali; Ma, Dongsheng; Wang, Qiudong Rank one chaos in switch-controlled Murali-Lakshmanan-Chua circuit. (English) Zbl 1116.37025 Int. J. Bifurcation Chaos Appl. Sci. Eng. 16, No. 11, 3207-3234 (2006). MSC: 37D45 34C28 94C05 37M05 37G40 PDFBibTeX XMLCite \textit{A. Oksasoglu} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 16, No. 11, 3207--3234 (2006; Zbl 1116.37025) Full Text: DOI
Yamamoto, Tadaaki; Ohkawa, Yohei; Kitamoto, Tomoyuki; Nagaya, Tomoyuki; Nara, Shigetoshi Bifurcation phenomena in coupled dynamic self-electro-optic-effect devices. (English) Zbl 1117.37303 Int. J. Bifurcation Chaos Appl. Sci. Eng. 16, No. 12, 3717-3725 (2006). MSC: 37N20 74F99 78A15 37G40 PDFBibTeX XMLCite \textit{T. Yamamoto} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 16, No. 12, 3717--3725 (2006; Zbl 1117.37303) Full Text: DOI
Dias, Ana Paula S.; Paiva, Rui C. Hopf bifurcation with \(S_3\)-symmetry. (English) Zbl 1113.37033 Port. Math. (N.S.) 63, No. 2, 127-155 (2006). MSC: 37G40 34C23 34C25 37G05 PDFBibTeX XMLCite \textit{A. P. S. Dias} and \textit{R. C. Paiva}, Port. Math. (N.S.) 63, No. 2, 127--155 (2006; Zbl 1113.37033) Full Text: EuDML
Lamb, Jeroen S. W.; Melbourne, Ian; Wulff, Claudia Hopf bifurcation from relative periodic solutions; secondary bifurcations from meandering spirals. (English) Zbl 1108.37039 J. Difference Equ. Appl. 12, No. 11, 1127-1145 (2006). MSC: 37G40 34C23 37E10 37G15 34C25 PDFBibTeX XMLCite \textit{J. S. W. Lamb} et al., J. Difference Equ. Appl. 12, No. 11, 1127--1145 (2006; Zbl 1108.37039) Full Text: DOI Link
Balanov, Zalman; Farzamirad, Meymanat; Krawcewicz, Wieslaw; Ruan, Haibo Applied equivariant degree. II: Symmetric Hopf bifurcations of functional differential equations. (English) Zbl 1119.58007 Discrete Contin. Dyn. Syst. 16, No. 4, 923-960 (2006). Reviewer: O. Makeev (Ulyanovsk) MSC: 58E09 34K18 34K13 47J05 37G15 PDFBibTeX XMLCite \textit{Z. Balanov} et al., Discrete Contin. Dyn. Syst. 16, No. 4, 923--960 (2006; Zbl 1119.58007) Full Text: DOI
Zhao, Wenli; Zhou, Xiaojun Bifurcation and chaos of impact vibration system with two degrees of freedom and clearance. (Chinese. English summary) Zbl 1104.37306 J. Zhejiang Univ., Eng. Sci. 40, No. 8, 1435-1438 (2006). MSC: 37N99 37D45 37G40 37C25 PDFBibTeX XMLCite \textit{W. Zhao} and \textit{X. Zhou}, J. Zhejiang Univ., Eng. Sci. 40, No. 8, 1435--1438 (2006; Zbl 1104.37306)
Abreu, Stella M. C.; Dias, Ana Paula S. Hopf bifurcation on hemispheres. (English) Zbl 1097.35029 Nonlinearity 19, No. 3, 553-574 (2006). Reviewer: Ángel Calsina (Barcelona) MSC: 35B32 35K57 35B10 37G40 PDFBibTeX XMLCite \textit{S. M. C. Abreu} and \textit{A. P. S. Dias}, Nonlinearity 19, No. 3, 553--574 (2006; Zbl 1097.35029) Full Text: DOI
Buono, Pietro-Luciano; Laurent-Polz, Frédéric; Montaldi, James Symmetric Hamiltonian bifurcations. (Based on lectures by James Montaldi). (English) Zbl 1161.37040 Montaldi, James (ed.) et al., Geometric mechanics and symmetry; the Peyresq lectures. Lecture notes from the European Summer Schools in Geometric Mechanics held in Peyresq, 2000/2001. Cambridge: Cambridge University Press (ISBN 0-521-53957-9/pbk). London Mathematical Society Lecture Note Series 306, 357-402 (2005). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37J20 70H33 37G40 37J15 PDFBibTeX XMLCite \textit{P.-L. Buono} et al., Lond. Math. Soc. Lect. Note Ser. 306, 357--402 (2005; Zbl 1161.37040)
Makeev, O. V. Andronov-Hopf bifurcation with square or hexagonal lattice symmetry. (Russian) Zbl 1150.37374 Tr. Sredn. Mat. Obshch. 7, No. 1, 215-223 (2005). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 37G40 58E09 37M25 37-04 PDFBibTeX XMLCite \textit{O. V. Makeev}, Tr. Sredn. Mat. Obshch. 7, No. 1, 215--223 (2005; Zbl 1150.37374)
Dullin, H. R.; Ivanov, A. V. Twistless tori near low-order resonances. (English. Russian original) Zbl 1120.37035 J. Math. Sci., New York 128, No. 2, 2754-2760 (2005); translation from Zap. Nauchn. Semin. POMI 300, 135-144 (2003). MSC: 37J20 37J40 37G40 PDFBibTeX XMLCite \textit{H. R. Dullin} and \textit{A. V. Ivanov}, J. Math. Sci., New York 128, No. 2, 2754--2760 (2005; Zbl 1120.37035); translation from Zap. Nauchn. Semin. POMI 300, 135--144 (2003) Full Text: DOI
Campbell, Sue Ann; Yuan, Yuan; Bungay, Sharene D. Equivariant Hopf bifurcation in a ring of identiacal cells with delayed coupling. (English) Zbl 1094.34049 Nonlinearity 18, No. 6, 2827-2846 (2005). Reviewer: Jan Sieber (Bristol) MSC: 34K17 37G40 92B20 34K18 34K19 PDFBibTeX XMLCite \textit{S. A. Campbell} et al., Nonlinearity 18, No. 6, 2827--2846 (2005; Zbl 1094.34049) Full Text: DOI
Riaz, Syed Shahed; Kar, Sandip; Ray, Deb Shankar Differential flow induced transition of Hopf instability to Turing instability and pattern formation. (English) Zbl 1089.37535 Physica D 203, No. 3-4, 224-232 (2005). MSC: 37N20 37G40 78A35 92E20 PDFBibTeX XMLCite \textit{S. S. Riaz} et al., Physica D 203, No. 3--4, 224--232 (2005; Zbl 1089.37535) Full Text: DOI
Wu, Yuhai; Han, Maoan; Liu, Xuanliang On the study of limit cycles of a cubic polynomial system under \(\mathbb Z_{4}\)-equivariant quintic perturbation. (English) Zbl 1092.34015 Chaos Solitons Fractals 24, No. 4, 999-1012 (2005). Reviewer: Messoud A. Efendiev (Berlin) MSC: 34C07 34C05 37C80 PDFBibTeX XMLCite \textit{Y. Wu} et al., Chaos Solitons Fractals 24, No. 4, 999--1012 (2005; Zbl 1092.34015) Full Text: DOI
Wang, Qiudong; Oksasoglu, Ali Strange attractors in periodically kicked Chua’s circuit. (English) Zbl 1073.37039 Int. J. Bifurcation Chaos Appl. Sci. Eng. 15, No. 1, 83-98 (2005). Reviewer: Constantin Udrişte (Bucureşti) MSC: 37D45 94C05 37G40 PDFBibTeX XMLCite \textit{Q. Wang} and \textit{A. Oksasoglu}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 15, No. 1, 83--98 (2005; Zbl 1073.37039) Full Text: DOI
Buzzi, Claudio A.; Lamb, Jeroen S. W. Reversible equivariant Hopf bifurcation. (English) Zbl 1073.34038 Arch. Ration. Mech. Anal. 175, No. 1, 39-84 (2005). Reviewer: Abdelkader Boucherif (Dhahran) MSC: 34C23 37G40 37G05 PDFBibTeX XMLCite \textit{C. A. Buzzi} and \textit{J. S. W. Lamb}, Arch. Ration. Mech. Anal. 175, No. 1, 39--84 (2005; Zbl 1073.34038) Full Text: DOI
Amdjadi, Faridon Torus doubling cascade in problems with symmetries. (English) Zbl 1095.37021 Nikitin, A.G.(ed.) et al., Proceedings of the fifth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, June 23–29, 2003. Part 3. Kyïv: Institute of Mathematics of NAS of Ukraine (ISBN 966-02-3227-6). Proceedings of the Institute of Mathematics of the National Academy of Sciences of Ukraine. Mathematics and its Applications. 50(3), 1221-1227 (2004). Reviewer: S. V. Spichak (Kyïv) MSC: 37G40 34C14 37G15 34D45 PDFBibTeX XMLCite \textit{F. Amdjadi}, in: Proceedings of the fifth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, June 23--29, 2003. Part 3. Kyïv: Institute of Mathematics of NAS of Ukraine. 1221--1227 (2004; Zbl 1095.37021)
Yang, Zhuoqin; Lu, Qishao; Gu, Huaguang; Ren, Wei GWN-induced bursting, spiking, and random subthreshold impulsing oscillation before Hopf bifurcations in the Chay model. (English) Zbl 1070.92008 Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, No. 12, 4143-4159 (2004). MSC: 92C20 37N25 34F05 37G40 PDFBibTeX XMLCite \textit{Z. Yang} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, No. 12, 4143--4159 (2004; Zbl 1070.92008) Full Text: DOI
Amdjadi, Faridon Multiple Hopf bifurcation and chaotic reversing waves in problems with \(\text{O}(2)\) symmetry. (English) Zbl 1129.37336 Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, No. 5, 1831-1838 (2004). MSC: 37G40 PDFBibTeX XMLCite \textit{F. Amdjadi}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, No. 5, 1831--1838 (2004; Zbl 1129.37336) Full Text: DOI
Gross, Thilo; Feudel, Ulrike Analytical search for bifurcation surfaces in parameter space. (English) Zbl 1056.37070 Physica D 195, No. 3-4, 292-302 (2004). MSC: 37G40 37C10 37N05 70F05 37N25 92D99 PDFBibTeX XMLCite \textit{T. Gross} and \textit{U. Feudel}, Physica D 195, No. 3--4, 292--302 (2004; Zbl 1056.37070) Full Text: DOI
Mayer, Sebastian; Scheurle, Jürgen; Walcher, Sebastian Practical normal form computations for vector fields. (English) Zbl 1046.37012 ZAMM, Z. Angew. Math. Mech. 84, No. 7, 472-482 (2004). MSC: 37C10 34C20 37M20 37G05 37G40 PDFBibTeX XMLCite \textit{S. Mayer} et al., ZAMM, Z. Angew. Math. Mech. 84, No. 7, 472--482 (2004; Zbl 1046.37012) Full Text: DOI
Lan, Yueheng; Garnier, Nicolas; Cvitanović, Predrag Stationary modulated-amplitude waves in the 1D complex Ginzburg-Landau equation. (English) Zbl 1046.37036 Physica D 188, No. 3-4, 193-212 (2004). MSC: 37G40 35Q53 34C25 76E30 37N99 PDFBibTeX XMLCite \textit{Y. Lan} et al., Physica D 188, No. 3--4, 193--212 (2004; Zbl 1046.37036) Full Text: DOI arXiv
Li, Chunguang; Liao, Xiaofeng; Yu, Juebang Hopf bifurcation in a prototype delayed system. (English) Zbl 1053.37026 Chaos Solitons Fractals 19, No. 4, 779-787 (2004). Reviewer: Messoud A. Efendiev (Berlin) MSC: 37G40 37C10 37C27 34K13 34K18 37L10 PDFBibTeX XMLCite \textit{C. Li} et al., Chaos Solitons Fractals 19, No. 4, 779--787 (2004; Zbl 1053.37026) Full Text: DOI
Harb, Bassam A.; Harb, Ahmad. M. Chaos and bifurcation in a third-order phase locked loop. (English) Zbl 1085.93514 Chaos Solitons Fractals 19, No. 3, 667-672 (2004). MSC: 93C40 37G40 37G05 34C23 37D45 93E11 PDFBibTeX XMLCite \textit{B. A. Harb} and \textit{Ahmad. M. Harb}, Chaos Solitons Fractals 19, No. 3, 667--672 (2004; Zbl 1085.93514) Full Text: DOI
Krawcewicz, Wieslaw; Ma, Shiwang; Wu, Jianhong Multiple slowly oscillating periodic solutions in coupled lossless transmission lines. (English) Zbl 1144.34365 Nonlinear Anal., Real World Appl. 5, No. 2, 309-354 (2004). Reviewer: Jan Sieber (Portsmouth) MSC: 34K13 34K18 34K40 35B10 37G40 37L20 47J15 PDFBibTeX XMLCite \textit{W. Krawcewicz} et al., Nonlinear Anal., Real World Appl. 5, No. 2, 309--354 (2004; Zbl 1144.34365) Full Text: DOI
Ji, J. C.; Hansen, Colin H. Local bifurcation control in a rotor-magnetic bearing system. (English) Zbl 1063.37587 Int. J. Bifurcation Chaos Appl. Sci. Eng. 13, No. 4, 951-956 (2003). MSC: 37N35 37G40 93B52 37G05 PDFBibTeX XMLCite \textit{J. C. Ji} and \textit{C. H. Hansen}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 13, No. 4, 951--956 (2003; Zbl 1063.37587) Full Text: DOI
Ham, Yoonmee A Hopf bifurcation in a free boundary problem depending on the spatial average of an activator. (English) Zbl 1078.37520 Int. J. Bifurcation Chaos Appl. Sci. Eng. 13, No. 10, 3135-3145 (2003). MSC: 37L05 35R35 35B32 37G40 PDFBibTeX XMLCite \textit{Y. Ham}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 13, No. 10, 3135--3145 (2003; Zbl 1078.37520) Full Text: DOI
Efstathiou, K.; Sadovskií, D. A.; Cushman, R. H. Linear Hamiltonian Hopf bifurcation for point-group-invariant perturbations of the \(1:1:1\) resonance. (English) Zbl 1042.37038 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 459, No. 2040, 2997-3019 (2003). MSC: 37J20 37G40 37J15 PDFBibTeX XMLCite \textit{K. Efstathiou} et al., Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 459, No. 2040, 2997--3019 (2003; Zbl 1042.37038) Full Text: DOI
Ashwin, Peter; Podvigina, Olga Hopf bifurcation with cubic symmetry and instability of ABC flow. (English) Zbl 1116.37310 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 459, No. 2035, 1801-1827 (2003). MSC: 37G40 37D45 37N10 76D05 76E99 PDFBibTeX XMLCite \textit{P. Ashwin} and \textit{O. Podvigina}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 459, No. 2035, 1801--1827 (2003; Zbl 1116.37310) Full Text: DOI Link
Broer, Henk Coupled Hopf-bifurcations: Persistent examples of \(n\)-quasiperiodicity determined by families of 3-jets. (English) Zbl 1039.37030 de Melo, Welington (ed.) et al., Geometric methods in dynamics (I). Volume in honor of Jacob Palis. In part papers presented at the international conference on dynamical systems held at IMPA, Rio de Janeiro, Brazil, July 2000, to celebrate Jacob Palis’ 60th birthday. Paris: Société Mathématique de France (ISBN 2-85629-138-4/pbk). Astérisque 286, 223-229 (2003). MSC: 37G40 35K57 35B32 37J40 70K43 PDFBibTeX XMLCite \textit{H. Broer}, Astérisque 286, 223--229 (2003; Zbl 1039.37030)
Broer, Henk W.; Golubitsky, Martin; Vegter, Gert The geometry of resonance tongues: a singularity theory approach. (English) Zbl 1035.37035 Nonlinearity 16, No. 4, 1511-1538 (2003). Reviewer: Jörg Härterich (Berlin) MSC: 37G40 37C25 37G05 37C80 58K50 37G15 58K35 PDFBibTeX XMLCite \textit{H. W. Broer} et al., Nonlinearity 16, No. 4, 1511--1538 (2003; Zbl 1035.37035) Full Text: DOI Link
Balanov, Z.; Krawcewicz, W.; Rai, B. Taylor–Couette problem and related topics. (English) Zbl 1025.37030 Nonlinear Anal., Real World Appl. 4, No. 4, 541-559 (2003). Reviewer: Messoud Efendiev (Berlin) MSC: 37G40 37N10 76E07 37C80 76U05 PDFBibTeX XMLCite \textit{Z. Balanov} et al., Nonlinear Anal., Real World Appl. 4, No. 4, 541--559 (2003; Zbl 1025.37030) Full Text: DOI
Amdjadi, Faridon The calculation of the Hopf/Hopf mode interaction point in problems with \(Z_ 2\)-symmetry. (English) Zbl 1044.37040 Int. J. Bifurcation Chaos Appl. Sci. Eng. 12, No. 8, 1925-1935 (2002). MSC: 37G40 37G15 37M20 PDFBibTeX XMLCite \textit{F. Amdjadi}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 12, No. 8, 1925--1935 (2002; Zbl 1044.37040) Full Text: DOI
Amdjadi, Faridon; Gomatam, Jagannathan Waves arising from mode interactions in problems with O(2) symmetry. (English) Zbl 1042.37035 Int. J. Differ. Equ. Appl. 4, No. 1, 47-64 (2002). MSC: 37G40 34C23 35A30 35B32 PDFBibTeX XMLCite \textit{F. Amdjadi} and \textit{J. Gomatam}, Int. J. Differ. Equ. Appl. 4, No. 1, 47--64 (2002; Zbl 1042.37035)
Amdjadi, Faridon Hopf bifurcations in problems with \(O(2)\) symmetry: canonical coordinates transformation. (English) Zbl 1045.34016 Nikitin, A. G. (ed.) et al., Proceedings of the fourth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, July 9–15, 2001. Part 1. Dedicated to the 200th anniversary of M. Ostrohrads’kyi. Kyïv: Institute of Mathematics of NAS of Ukraine (ISBN 966-02-2486-9). Proc. Inst. Math. Natl. Acad. Sci. Ukr., Math. Appl. 43(1), 65-71 (2002). Reviewer: M. O. Nesterenko (Kyïv) MSC: 34C23 34C14 37G40 PDFBibTeX XMLCite \textit{F. Amdjadi}, in: Proceedings of the fourth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, July 9--15, 2001. Part 1. Dedicated to the 200th anniversary of M. Ostrohrads'kyi. Kyïv: Institute of Mathematics of NAS of Ukraine. 65--71 (2002; Zbl 1045.34016)
Wu, Wei; Su, Yi Hopf bifurcation near a double singular point with \(\mathbb{Z}_{2}\)-symmetry and \(X_{0}\)-breaking. (English) Zbl 1017.34043 J. Comput. Appl. Math. 144, No. 1-2, 325-334 (2002). Reviewer: Jürgen Knobloch (Ilmenau) MSC: 34C23 37G10 34A34 35B32 37G40 PDFBibTeX XMLCite \textit{W. Wu} and \textit{Y. Su}, J. Comput. Appl. Math. 144, No. 1--2, 325--334 (2002; Zbl 1017.34043) Full Text: DOI
Amdjadi, Faridon Multiple Hopf bifurcation in problem with \(O(2)\) symmetry: Kuramoto-Sivashinsky equation. (English) Zbl 1061.37031 Bambusi, Dario (ed.) et al., Symmetry and perturbation theory. Proceedings of the 3rd international conference (SPT 2001), Cala Gonone, Sardinia, Italy, May 6–13, 2001. Singapore: World Scientific (ISBN 981-02-4793-1/hbk). 9-18 (2001). MSC: 37G40 35A30 35B20 37L10 PDFBibTeX XMLCite \textit{F. Amdjadi}, in: Symmetry and perturbation theory. Proceedings of the 3rd international conference (SPT 2001), Cala Gonone, Sardinia, Italy, May 6--13, 2001. Singapore: World Scientific. 9--18 (2001; Zbl 1061.37031)
Moehlis, Jeff; Knobloch, Edgar Wrinkled tori and bursts due to resonant temporal forcing. (English) Zbl 1020.37030 Physica D 151, No. 2-4, 99-124 (2001). Reviewer: Maria-Christina Ciocci (Gent) MSC: 37G15 37G40 PDFBibTeX XMLCite \textit{J. Moehlis} and \textit{E. Knobloch}, Physica D 151, No. 2--4, 99--124 (2001; Zbl 1020.37030) Full Text: DOI