Teslya, Alexandra; Wolkowicz, Gail S. K. Dynamics of a predator-prey model with distributed delay to represent the conversion process or maturation. (English) Zbl 1521.34074 Differ. Equ. Dyn. Syst. 31, No. 3, 613-649 (2023). MSC: 34K60 34K21 34K20 34K13 34K18 34K23 34K25 92D25 PDFBibTeX XMLCite \textit{A. Teslya} and \textit{G. S. K. Wolkowicz}, Differ. Equ. Dyn. Syst. 31, No. 3, 613--649 (2023; Zbl 1521.34074) Full Text: DOI
Al Basir, Fahad; Samanta, Sudip; Tiwari, Pankaj Kumar Bistability, generalized and zero-Hopf bifurcations in a pest control model with farming awareness. (English) Zbl 1512.92138 J. Biol. Syst. 31, No. 1, 115-140 (2023). MSC: 92D45 92D25 34C23 PDFBibTeX XMLCite \textit{F. Al Basir} et al., J. Biol. Syst. 31, No. 1, 115--140 (2023; Zbl 1512.92138) Full Text: DOI
Dohtani, Akitaka; Matsuyama, Jun A business-cycle model connecting heterogeneous micro investment behaviors with macro dynamics. (English) Zbl 1509.34048 Commun. Nonlinear Sci. Numer. Simul. 117, Article ID 106903, 22 p. (2023). MSC: 34C60 91B24 34C05 34D20 34C23 34D05 PDFBibTeX XMLCite \textit{A. Dohtani} and \textit{J. Matsuyama}, Commun. Nonlinear Sci. Numer. Simul. 117, Article ID 106903, 22 p. (2023; Zbl 1509.34048) Full Text: DOI
Zhang, Fang; Cui, Wenzhe; Dai, Yanfei; Zhao, Yulin Bifurcations of an SIRS epidemic model with a general saturated incidence rate. (English) Zbl 1511.92093 Math. Biosci. Eng. 19, No. 11, 10710-10730 (2022). Reviewer: Jiaying Zhou (Shenzhen) MSC: 92D30 34C23 PDFBibTeX XMLCite \textit{F. Zhang} et al., Math. Biosci. Eng. 19, No. 11, 10710--10730 (2022; Zbl 1511.92093) Full Text: DOI
Jafari Khanghahi, Maryam; Ghaziani, Reza Khoshsiar Bifurcation analysis of a modified May-Holling-Tanner predator-prey model with Allee effect. (English) Zbl 1507.92012 Bull. Iran. Math. Soc. 48, No. 6, 3405-3437 (2022). MSC: 92B25 34C23 37G15 PDFBibTeX XMLCite \textit{M. Jafari Khanghahi} and \textit{R. K. Ghaziani}, Bull. Iran. Math. Soc. 48, No. 6, 3405--3437 (2022; Zbl 1507.92012) Full Text: DOI
Tay, Chai Jian; Mohd, Mohd Hafiz; Teh, Su Yean; Koh, Hock Lye Internal phosphorus recycling promotes rich and complex dynamics in an algae-phosphorus model: implications for eutrophication management. (English) Zbl 1476.92054 J. Theor. Biol. 532, Article ID 110913, 11 p. (2022). MSC: 92D40 PDFBibTeX XMLCite \textit{C. J. Tay} et al., J. Theor. Biol. 532, Article ID 110913, 11 p. (2022; Zbl 1476.92054) Full Text: DOI
Monfared, Zahra; Dadi, Zohreh; Darijani, Ali; Qaseminezhad Raeini, Y. Dynamics of a harmonic oscillator perturbed by a non-smooth velocity-dependent damping force. (English) Zbl 1513.34152 J. Mahani Math. Res. Cent. 10, No. 2, 145-162 (2021). MSC: 34C23 34A36 34C05 PDFBibTeX XMLCite \textit{Z. Monfared} et al., J. Mahani Math. Res. Cent. 10, No. 2, 145--162 (2021; Zbl 1513.34152) Full Text: DOI
Cheng, Lifang; Zhang, Litao Bogdanov-Takens bifurcation of a Holling IV prey-predator model with constant-effort harvesting. (English) Zbl 1504.37094 J. Inequal. Appl. 2021, Paper No. 68, 23 p. (2021). MSC: 37N25 92D25 92D40 PDFBibTeX XMLCite \textit{L. Cheng} and \textit{L. Zhang}, J. Inequal. Appl. 2021, Paper No. 68, 23 p. (2021; Zbl 1504.37094) Full Text: DOI
Lu, Min; Huang, Jicai; Ruan, Shigui; Yu, Pei Global dynamics of a susceptible-infectious-recovered epidemic model with a generalized nonmonotone incidence rate. (English) Zbl 1482.34125 J. Dyn. Differ. Equations 33, No. 4, 1625-1661 (2021). MSC: 34C60 92D30 34C05 34D20 34D23 34C23 34C37 34D05 PDFBibTeX XMLCite \textit{M. Lu} et al., J. Dyn. Differ. Equations 33, No. 4, 1625--1661 (2021; Zbl 1482.34125) Full Text: DOI
Chiba, Hayato A Hopf bifurcation in the Kuramoto-Daido model. (English) Zbl 1465.34046 J. Differ. Equations 280, 546-570 (2021). Reviewer: Carlo Laing (Auckland) MSC: 34C15 34C05 34C20 34C23 34D06 34D20 PDFBibTeX XMLCite \textit{H. Chiba}, J. Differ. Equations 280, 546--570 (2021; Zbl 1465.34046) Full Text: DOI arXiv
Miao, Pengcheng; Li, Denghui; Chen, Hebai; Yue, Yuan; Xie, Jianhua Generalized Hopf bifurcation of a non-smooth railway wheelset system. (English) Zbl 1516.34069 Nonlinear Dyn. 100, No. 4, 3277-3293 (2020). MSC: 34C23 70K50 PDFBibTeX XMLCite \textit{P. Miao} et al., Nonlinear Dyn. 100, No. 4, 3277--3293 (2020; Zbl 1516.34069) Full Text: DOI
Lu, ChunHsien; Mao, Yiqiu; Sengul, Taylan; Wang, Quan On the spectral instability and bifurcation of the 2D-quasi-geostrophic potential vorticity equation with a generalized Kolmogorov forcing. (English) Zbl 1482.76060 Physica D 403, Article ID 132296, 18 p. (2020). MSC: 76F06 76U05 35Q86 PDFBibTeX XMLCite \textit{C. Lu} et al., Physica D 403, Article ID 132296, 18 p. (2020; Zbl 1482.76060) Full Text: DOI
Antwi-Fordjour, Kwadwo; Parshad, Rana D.; Beauregard, Matthew A. Dynamics of a predator-prey model with generalized Holling type functional response and mutual interference. (English) Zbl 1450.34030 Math. Biosci. 326, Article ID 108407, 14 p. (2020). MSC: 34C60 92D25 34D05 34C05 34C23 92D30 PDFBibTeX XMLCite \textit{K. Antwi-Fordjour} et al., Math. Biosci. 326, Article ID 108407, 14 p. (2020; Zbl 1450.34030) Full Text: DOI arXiv
Paul, Deepraj; Singh, Suneet; Mishra, Surendra Impact of system pressure on the characteristics of stability boundary for a single-channel flow boiling system. (English) Zbl 1437.76050 Nonlinear Dyn. 96, No. 1, 175-184 (2019). MSC: 76T10 70K50 PDFBibTeX XMLCite \textit{D. Paul} et al., Nonlinear Dyn. 96, No. 1, 175--184 (2019; Zbl 1437.76050) Full Text: DOI
Dai, Yanfei; Zhao, Yulin; Sang, Bo Four limit cycles in a predator-prey system of Leslie type with generalized Holling type III functional response. (English) Zbl 1432.34064 Nonlinear Anal., Real World Appl. 50, 218-239 (2019). MSC: 34C60 92D25 34C05 34C23 34D20 PDFBibTeX XMLCite \textit{Y. Dai} et al., Nonlinear Anal., Real World Appl. 50, 218--239 (2019; Zbl 1432.34064) Full Text: DOI arXiv
Yang, Qigui; Yang, Ting Complex dynamics in a generalized Langford system. (English) Zbl 1392.37034 Nonlinear Dyn. 91, No. 4, 2241-2270 (2018). MSC: 37D45 37G10 37G05 37C29 PDFBibTeX XMLCite \textit{Q. Yang} and \textit{T. Yang}, Nonlinear Dyn. 91, No. 4, 2241--2270 (2018; Zbl 1392.37034) Full Text: DOI
Bernoussi, Amine; Kaddar, Abdelilah; Asserda, Said On the dynamics of an SEIR epidemic model. (English) Zbl 1449.92042 Adv. Model. Optim. 19, No. 2, 327-338 (2017). MSC: 92D30 34D23 PDFBibTeX XMLCite \textit{A. Bernoussi} et al., Adv. Model. Optim. 19, No. 2, 327--338 (2017; Zbl 1449.92042) Full Text: Link
Yang, Junmin; Yu, Pei Nine limit cycles around a singular point by perturbing a cubic Hamiltonian system with a nilpotent center. (English) Zbl 1411.34046 Appl. Math. Comput. 298, 141-152 (2017). MSC: 34C05 34C07 34C23 37G15 PDFBibTeX XMLCite \textit{J. Yang} and \textit{P. Yu}, Appl. Math. Comput. 298, 141--152 (2017; Zbl 1411.34046) Full Text: DOI
Ahamed, A. Ishaq; Lakshmanan, M. Discontinuity induced Hopf and Neimark-Sacker bifurcations in a memristive Murali-Lakshmanan-Chua circuit. (English) Zbl 1370.34080 Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 6, Article ID 1730021, 22 p. (2017). MSC: 34C60 94C05 34A36 34C23 34C05 34C37 34C45 PDFBibTeX XMLCite \textit{A. I. Ahamed} and \textit{M. Lakshmanan}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 6, Article ID 1730021, 22 p. (2017; Zbl 1370.34080) Full Text: DOI arXiv
Yu, Pei; Zhang, Wenjing; Wahl, Lindi M. Dynamical analysis and simulation of a 2-dimensional disease model with convex incidence. (English) Zbl 1473.92043 Commun. Nonlinear Sci. Numer. Simul. 37, 163-192 (2016). MSC: 92D30 37N25 PDFBibTeX XMLCite \textit{P. Yu} et al., Commun. Nonlinear Sci. Numer. Simul. 37, 163--192 (2016; Zbl 1473.92043) Full Text: DOI
Chen, Hebai Global bifurcation for a class of planar Filippov systems with symmetry. (English) Zbl 1364.34039 Qual. Theory Dyn. Syst. 15, No. 2, 349-365 (2016). MSC: 34C07 34C23 49J52 PDFBibTeX XMLCite \textit{H. Chen}, Qual. Theory Dyn. Syst. 15, No. 2, 349--365 (2016; Zbl 1364.34039) Full Text: DOI
Zhang, Wenjing; Yu, Pei Hopf and generalized Hopf bifurcations in a recurrent autoimmune disease model. (English) Zbl 1343.34129 Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 5, Article ID 1650079, 24 p. (2016). MSC: 34C60 92C60 34C05 34C23 34C20 34C45 34D20 PDFBibTeX XMLCite \textit{W. Zhang} and \textit{P. Yu}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 26, No. 5, Article ID 1650079, 24 p. (2016; Zbl 1343.34129) Full Text: DOI
Kadeřábek, Zdeněk Bautin bifurcation of a modified generalized Van der Pol-Mathieu equation. (English) Zbl 1374.34134 Arch. Math., Brno 52, No. 1, 49-70 (2016). Reviewer: Maite Grau (Lleida) MSC: 34C25 34C05 34C29 34D05 34C23 PDFBibTeX XMLCite \textit{Z. Kadeřábek}, Arch. Math., Brno 52, No. 1, 49--70 (2016; Zbl 1374.34134) Full Text: DOI
Weiss, D.; Küpper, T.; Hosham, H. A. Invariant manifolds for nonsmooth systems with sliding mode. (English) Zbl 07313343 Math. Comput. Simul. 110, 15-32 (2015). MSC: 37Gxx 34Cxx PDFBibTeX XMLCite \textit{D. Weiss} et al., Math. Comput. Simul. 110, 15--32 (2015; Zbl 07313343) Full Text: DOI
Meerbergen, Karl; Plestenjak, Bor A Sylvester-Arnoldi type method for the generalized eigenvalue problem with two-by-two operator determinants. (English) Zbl 1349.65122 Numer. Linear Algebra Appl. 22, No. 6, 1131-1146 (2015). Reviewer: Edgar Pereira (Natal) MSC: 65F10 15A18 15A24 65F15 PDFBibTeX XMLCite \textit{K. Meerbergen} and \textit{B. Plestenjak}, Numer. Linear Algebra Appl. 22, No. 6, 1131--1146 (2015; Zbl 1349.65122) Full Text: DOI Link
D’Annibale, Francesco; Rosi, Giuseppe; Luongo, Angelo On the failure of the ‘similar piezoelectric control’ in preventing loss of stability by nonconservative positional forces. (English) Zbl 1392.70039 Z. Angew. Math. Phys. 66, No. 4, 1949-1968 (2015). MSC: 70Q05 70H14 70H25 70J25 PDFBibTeX XMLCite \textit{F. D'Annibale} et al., Z. Angew. Math. Phys. 66, No. 4, 1949--1968 (2015; Zbl 1392.70039) Full Text: DOI
Bînzar, Tudor; Lăzureanu, Cristian On a new chaotic system. (English) Zbl 1371.34060 Math. Methods Appl. Sci. 38, No. 8, 1631-1641 (2015). MSC: 34C28 37D45 70K20 70K50 PDFBibTeX XMLCite \textit{T. Bînzar} and \textit{C. Lăzureanu}, Math. Methods Appl. Sci. 38, No. 8, 1631--1641 (2015; Zbl 1371.34060) Full Text: DOI
Park, Jungho; Strzelecki, Philip Bifurcation to traveling waves in the cubic-quintic complex Ginzburg-Landau equation. (English) Zbl 1316.35029 Anal. Appl., Singap. 13, No. 4, 395-411 (2015). MSC: 35B32 35Q56 37L10 35C07 35B15 PDFBibTeX XMLCite \textit{J. Park} and \textit{P. Strzelecki}, Anal. Appl., Singap. 13, No. 4, 395--411 (2015; Zbl 1316.35029) Full Text: DOI
Algaba, Antonio; Fernández-Sánchez, Fernando; Merino, Manuel; Rodríguez-Luis, Alejandro J. Centers on center manifolds in the Lorenz, Chen and Lü systems. (English) Zbl 1457.34061 Commun. Nonlinear Sci. Numer. Simul. 19, No. 4, 772-775 (2014). MSC: 34C23 PDFBibTeX XMLCite \textit{A. Algaba} et al., Commun. Nonlinear Sci. Numer. Simul. 19, No. 4, 772--775 (2014; Zbl 1457.34061) Full Text: DOI
Xiong, Yanqin; Han, Maoan Limit cycle bifurcations in a class of perturbed piecewise smooth systems. (English) Zbl 1334.37052 Appl. Math. Comput. 242, 47-64 (2014). MSC: 37G15 34C05 PDFBibTeX XMLCite \textit{Y. Xiong} and \textit{M. Han}, Appl. Math. Comput. 242, 47--64 (2014; Zbl 1334.37052) Full Text: DOI
Du, Jia; Xiao, Jian; Zhang, Gaoying Limit cycle and bifurcation problem for a class of nonpolynomial planar differential systems. (English) Zbl 1313.34099 Commun. Appl. Math. Comput. 28, No. 2, 189-199 (2014). MSC: 34C05 34C23 PDFBibTeX XMLCite \textit{J. Du} et al., Commun. Appl. Math. Comput. 28, No. 2, 189--199 (2014; Zbl 1313.34099) Full Text: DOI
Li, Yin; Lü, Xianrui; Zhao, Xin; Jiang, Bo A qualitative analysis and optimal control of a nonlinear Lorenz-Like model. (Chinese. English summary) Zbl 1313.37031 J. Jilin Univ., Sci. 52, No. 3, 429-434 (2014). MSC: 37D45 34C23 PDFBibTeX XMLCite \textit{Y. Li} et al., J. Jilin Univ., Sci. 52, No. 3, 429--434 (2014; Zbl 1313.37031) Full Text: DOI
Buică, Adriana; García, Isaac A.; Maza, Susanna Some remarks on inverse Jacobi multipliers around Hopf singularities. (English) Zbl 1316.37028 J. Math. Anal. Appl. 418, No. 2, 1074-1083 (2014). Reviewer: Vladimir P. Kostov (Nice) MSC: 37G15 34C23 PDFBibTeX XMLCite \textit{A. Buică} et al., J. Math. Anal. Appl. 418, No. 2, 1074--1083 (2014; Zbl 1316.37028) Full Text: DOI
Luo, Albert C. J.; Jin, Hanxiang Period-m motions to chaos in a periodically forced, Duffing oscillator with a time-delayed displacement. (English) Zbl 1302.34123 Int. J. Bifurcation Chaos Appl. Sci. Eng. 24, No. 10, Article ID 1450126, 20 p. (2014). MSC: 34K60 34K07 34K13 34K18 70K40 70K50 PDFBibTeX XMLCite \textit{A. C. J. Luo} and \textit{H. Jin}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 24, No. 10, Article ID 1450126, 20 p. (2014; Zbl 1302.34123) Full Text: DOI
Luo, Albert C. J.; Jin, Hanxiang Bifurcation trees of period-\(m\) motions to chaos in a time-delayed, quadratic nonlinear oscillator under a periodic excitation. (English) Zbl 1401.70033 Discontin. Nonlinearity Complex. 3, No. 1, 87-107 (2014). MSC: 70K50 70K55 PDFBibTeX XMLCite \textit{A. C. J. Luo} and \textit{H. Jin}, Discontin. Nonlinearity Complex. 3, No. 1, 87--107 (2014; Zbl 1401.70033) Full Text: DOI
Luo, Albert C. J.; Huang, Jianzhe Period-3 motions to chaos in a softening Duffing oscillator. (English) Zbl 1296.34089 Int. J. Bifurcation Chaos Appl. Sci. Eng. 24, No. 3, Article ID 1430010, 26 p. (2014). MSC: 34C15 34C25 34C23 34C28 PDFBibTeX XMLCite \textit{A. C. J. Luo} and \textit{J. Huang}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 24, No. 3, Article ID 1430010, 26 p. (2014; Zbl 1296.34089) Full Text: DOI
Luo, Albert C. J.; Yu, Bo Period-\(m\) motions and bifurcation trees in a periodically excited, quadratic nonlinear oscillator. (English) Zbl 1305.34055 Discontin. Nonlinearity Complex. 2, No. 3, 263-288 (2013). MSC: 34C15 70K40 70K50 37G15 34A34 34C23 34C25 37N05 PDFBibTeX XMLCite \textit{A. C. J. Luo} and \textit{B. Yu}, Discontin. Nonlinearity Complex. 2, No. 3, 263--288 (2013; Zbl 1305.34055) Full Text: DOI
Luo, Albert C. J.; Hang, Zianzhe Unstable and stable period-\(m\) motions in a twin-well potential Duffing oscillator. (English) Zbl 1300.34080 Discontin. Nonlinearity Complex. 1, No. 2, 113-145 (2012). MSC: 34C15 34C23 34C25 65P30 70K40 34A45 70K50 PDFBibTeX XMLCite \textit{A. C. J. Luo} and \textit{Z. Hang}, Discontin. Nonlinearity Complex. 1, No. 2, 113--145 (2012; Zbl 1300.34080) Full Text: DOI
Luo, Albert C. J.; Huang, Jianzhe Analytical routes of period-1 motions to chaos in a periodically forced Duffing oscillator with a twin-well potential. (English) Zbl 1300.34081 J. Appl. Nonlinear Dyn. 1, No. 1, 73-108 (2012). MSC: 34C15 34C28 34C25 70K55 34A45 34C23 PDFBibTeX XMLCite \textit{A. C. J. Luo} and \textit{J. Huang}, J. Appl. Nonlinear Dyn. 1, No. 1, 73--108 (2012; Zbl 1300.34081) Full Text: DOI
Reeves, Brandon; Van Gorder, Robert A.; Choudhury, S. Roy Chaotic regimes, post-bifurcation dynamics, and competitive modes for a generalized double Hopf normal form. (English) Zbl 1258.34082 Int. J. Bifurcation Chaos Appl. Sci. Eng. 22, No. 12, Paper No. 1250292, 10 p. (2012). MSC: 34C23 34C28 34C20 PDFBibTeX XMLCite \textit{B. Reeves} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 22, No. 12, Paper No. 1250292, 10 p. (2012; Zbl 1258.34082) Full Text: DOI
Huan, Songmei; Yang, Xiao-Song Generalized Hopf bifurcation emerged from a corner in general planar piecewise smooth systems. (English) Zbl 1256.34028 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 17, 6260-6274 (2012). Reviewer: Douglas S. Shafer (Charlotte) MSC: 34C23 34A36 PDFBibTeX XMLCite \textit{S. Huan} and \textit{X.-S. Yang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 17, 6260--6274 (2012; Zbl 1256.34028) Full Text: DOI
Golubitsky, Martin; Postlethwaite, Claire Feed-forward networks, center manifolds, and forcing. (English) Zbl 1257.34025 Discrete Contin. Dyn. Syst. 32, No. 8, 2913-2935 (2012). Reviewer: Alois Steindl (Wien) MSC: 34C23 34C25 37G15 34C15 34C45 92B20 34C20 PDFBibTeX XMLCite \textit{M. Golubitsky} and \textit{C. Postlethwaite}, Discrete Contin. Dyn. Syst. 32, No. 8, 2913--2935 (2012; Zbl 1257.34025) Full Text: DOI
Yan, Xiang-Ping; Li, Wan-Tong Stability and Hopf bifurcations for a delayed diffusion system in population dynamics. (English) Zbl 1235.35168 Discrete Contin. Dyn. Syst., Ser. B 17, No. 1, 367-399 (2012). MSC: 35K57 35B32 35B10 92D25 92D40 PDFBibTeX XMLCite \textit{X.-P. Yan} and \textit{W.-T. Li}, Discrete Contin. Dyn. Syst., Ser. B 17, No. 1, 367--399 (2012; Zbl 1235.35168) Full Text: DOI
Huan, Song-Mei; Yang, Xiao-Song Generalized Hopf bifurcation in a class of planar switched systems. (English) Zbl 1252.37041 Dyn. Syst. 26, No. 4, 433-445 (2011). Reviewer: Santiago Ibáñez (Oviedo) MSC: 37G15 34C25 35B20 PDFBibTeX XMLCite \textit{S.-M. Huan} and \textit{X.-S. Yang}, Dyn. Syst. 26, No. 4, 433--445 (2011; Zbl 1252.37041) Full Text: DOI
Laurin, Sophie; Rousseau, Christiane Organizing center for the bifurcation analysis of a generalized Gause model with prey harvesting and Holling response function of type III. (English) Zbl 1236.34059 J. Differ. Equations 251, No. 10, 2980-2986 (2011). Reviewer: Jinzhi Lei (Beijing) MSC: 34C23 34C60 92D25 PDFBibTeX XMLCite \textit{S. Laurin} and \textit{C. Rousseau}, J. Differ. Equations 251, No. 10, 2980--2986 (2011; Zbl 1236.34059) Full Text: DOI
García, Isaac A.; Giacomini, Héctor; Grau, Maite Generalized Hopf bifurcation for planar vector fields via the inverse integrating factor. (English) Zbl 1218.37065 J. Dyn. Differ. Equations 23, No. 2, 251-281 (2011). Reviewer: Vladimir P. Kostov (Nice) MSC: 37G15 37G10 PDFBibTeX XMLCite \textit{I. A. García} et al., J. Dyn. Differ. Equations 23, No. 2, 251--281 (2011; Zbl 1218.37065) Full Text: DOI arXiv
Páez Chávez, Joseph Discretizing dynamical systems with generalized Hopf bifurcations. (English) Zbl 1219.65155 Numer. Math. 118, No. 2, 229-246 (2011). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65P30 37C10 37M20 65L06 37G10 PDFBibTeX XMLCite \textit{J. Páez Chávez}, Numer. Math. 118, No. 2, 229--246 (2011; Zbl 1219.65155) Full Text: DOI
Küpper, T.; Hosham, H. A. Reduction to invariant cones for non-smooth systems. (English) Zbl 1210.65199 Math. Comput. Simul. 81, No. 5, 980-995 (2011). MSC: 65P30 37G15 37M20 PDFBibTeX XMLCite \textit{T. Küpper} and \textit{H. A. Hosham}, Math. Comput. Simul. 81, No. 5, 980--995 (2011; Zbl 1210.65199) Full Text: DOI
Pei, Lijun; Li, Kunhua Hopf bifurcation and generalized synchronization of the delayed coupled Lorenz-Rössler system. (Chinese. English summary) Zbl 1240.34335 J. Zhengzhou Univ., Nat. Sci. Ed. 42, No. 4, 1-7 (2010). MSC: 34K18 34K25 34K23 PDFBibTeX XMLCite \textit{L. Pei} and \textit{K. Li}, J. Zhengzhou Univ., Nat. Sci. Ed. 42, No. 4, 1--7 (2010; Zbl 1240.34335)
Etoua, Remy Magloire; Rousseau, Christiane Bifurcation analysis of a generalized Gause model with prey harvesting and a generalized Holling response function of type III. (English) Zbl 1217.34080 J. Differ. Equations 249, No. 9, 2316-2356 (2010). Reviewer: Jinzhi Lei (Beijing) MSC: 34C60 34C23 92D25 PDFBibTeX XMLCite \textit{R. M. Etoua} and \textit{C. Rousseau}, J. Differ. Equations 249, No. 9, 2316--2356 (2010; Zbl 1217.34080) Full Text: DOI
Rocşoreanu, Carmen; Sterpu, Mihaela Bifurcation in a nonlinear business cycle model. (English) Zbl 1265.34300 ROMAI J. 5, No. 2, 145-152 (2009). MSC: 34K60 91B26 34K18 34K20 34K21 PDFBibTeX XMLCite \textit{C. Rocşoreanu} and \textit{M. Sterpu}, ROMAI J. 5, No. 2, 145--152 (2009; Zbl 1265.34300)
Leng, Zhongjian; Gao, Bo; Wang, Zhaoxia Qualitative analysis of a generalized system of saturated enzyme reactions. (English) Zbl 1165.34335 Math. Comput. Modelling 49, No. 3-4, 556-562 (2009). MSC: 34C05 92E20 PDFBibTeX XMLCite \textit{Z. Leng} et al., Math. Comput. Modelling 49, No. 3--4, 556--562 (2009; Zbl 1165.34335) Full Text: DOI
Llibre, Jaume; Zhang, Xiang Hopf bifurcation in higher dimensional differential systems via the averaging method. (English) Zbl 1171.34027 Pac. J. Math. 240, No. 2, 321-341 (2009). Reviewer: Martin Rasmussen (London) MSC: 34C23 34C29 37G15 PDFBibTeX XMLCite \textit{J. Llibre} and \textit{X. Zhang}, Pac. J. Math. 240, No. 2, 321--341 (2009; Zbl 1171.34027) Full Text: DOI
Chaperon, Marc; López de Medrano, Santiago Birth of attracting compact invariant submanifolds diffeomorphic to moment-angle manifolds in generic families of dynamics. (English. Abridged French version) Zbl 1152.37014 C. R., Math., Acad. Sci. Paris 346, No. 19-20, 1099-1102 (2008). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 37D10 37G35 PDFBibTeX XMLCite \textit{M. Chaperon} and \textit{S. López de Medrano}, C. R., Math., Acad. Sci. Paris 346, No. 19--20, 1099--1102 (2008; Zbl 1152.37014) Full Text: DOI
van Cleve, Jeremy; Feldman, Marcus W. Stable long-period cycling and complex dynamics in a single-locus fertility model with genomic imprinting. (English) Zbl 1141.92026 J. Math. Biol. 57, No. 2, 243-264 (2008). MSC: 92D10 92D15 37N25 PDFBibTeX XMLCite \textit{J. van Cleve} and \textit{M. W. Feldman}, J. Math. Biol. 57, No. 2, 243--264 (2008; Zbl 1141.92026) Full Text: DOI
Yu, Pei; Chen, Guanrong The simplest parametrized normal forms of Hopf and generalized Hopf bifurcations. (English) Zbl 1193.70034 Nonlinear Dyn. 50, No. 1-2, 297-313 (2007). MSC: 70K50 70K45 PDFBibTeX XMLCite \textit{P. Yu} and \textit{G. Chen}, Nonlinear Dyn. 50, No. 1--2, 297--313 (2007; Zbl 1193.70034) Full Text: DOI
Juncu, Gh.; Mosekilde, E.; Popa, C. Numerical experiments with MG continuation algorithms. (English) Zbl 1097.65064 Appl. Numer. Math. 56, No. 6, 844-861 (2006). MSC: 65H10 65H20 35J65 65N06 35B32 65N55 PDFBibTeX XMLCite \textit{Gh. Juncu} et al., Appl. Numer. Math. 56, No. 6, 844--861 (2006; Zbl 1097.65064) Full Text: DOI
Gutiérrez-Romero, Susana; Palacián, Jesús F.; Yanguas, Patricia A universal procedure for normalizing \(n\)-degree-of-freedom polynomial Hamiltonian systems. (English) Zbl 1074.37030 SIAM J. Appl. Math. 65, No. 4, 1130-1152 (2005). MSC: 37J40 34C20 58K10 70H09 70H33 58K50 PDFBibTeX XMLCite \textit{S. Gutiérrez-Romero} et al., SIAM J. Appl. Math. 65, No. 4, 1130--1152 (2005; Zbl 1074.37030) Full Text: DOI
Zou, Yongkui; Küpper, Tassilo Generalized Hopf bifurcation emanated from a corner for piecewise smooth planar systems. (English) Zbl 1084.34006 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 62, No. 1, 1-17 (2005). Reviewer: Abdelkader Boucherif (Dhahran) MSC: 34A36 34C23 34C25 37G10 PDFBibTeX XMLCite \textit{Y. Zou} and \textit{T. Küpper}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 62, No. 1, 1--17 (2005; Zbl 1084.34006) Full Text: DOI
Peng, Jianping; Wang, Duo A sufficient condition for the uniqueness of normal forms and unique normal forms of generalized Hopf singularities. (English) Zbl 1129.37333 Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, No. 9, 3337-3345 (2004). MSC: 37G05 34C20 34C23 37G15 PDFBibTeX XMLCite \textit{J. Peng} and \textit{D. Wang}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, No. 9, 3337--3345 (2004; Zbl 1129.37333) Full Text: DOI
Bi, Qinsheng Dynamics and modulated chaos for two coupled oscillators. (English) Zbl 1070.34062 Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, No. 1, 337-346 (2004). Reviewer: Robert Mařík (Brno) MSC: 34C15 37D45 34C28 34C23 PDFBibTeX XMLCite \textit{Q. Bi}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, No. 1, 337--346 (2004; Zbl 1070.34062) Full Text: DOI
Adachi, T.; Uehara, H. Linear stability analysis of flow in a periodically grooved channel. (English) Zbl 1041.76033 Int. J. Numer. Methods Fluids 41, No. 6, 601-613 (2003). MSC: 76E09 76M22 PDFBibTeX XMLCite \textit{T. Adachi} and \textit{H. Uehara}, Int. J. Numer. Methods Fluids 41, No. 6, 601--613 (2003; Zbl 1041.76033) Full Text: DOI
Govaerts, W.; Kuznetsov, Yu. A.; Sijnave, B. Numerical methods for the generalized Hopf bifurcation. (English) Zbl 0968.65109 SIAM J. Numer. Anal. 38, No. 1, 329-346 (2000). Reviewer: Kevin Burrage (Brisbane) MSC: 65P30 92E20 92C20 37M20 37J20 37M25 PDFBibTeX XMLCite \textit{W. Govaerts} et al., SIAM J. Numer. Anal. 38, No. 1, 329--346 (2000; Zbl 0968.65109) Full Text: DOI
Woods, P. D.; Champneys, A. R. Heteroclinic tangles and homoclinic snaking in the unfolding of a degenerate reversible Hamiltonian-Hopf bifurcation. (English) Zbl 0952.37009 Physica D 129, No. 3-4, 147-170 (1999). Reviewer: Lev Lerman (Nizhny Novgorod) MSC: 37G20 34C23 37G05 37J20 70H05 PDFBibTeX XMLCite \textit{P. D. Woods} and \textit{A. R. Champneys}, Physica D 129, No. 3--4, 147--170 (1999; Zbl 0952.37009) Full Text: DOI
Ham, YoonMee A Hopf bifurcation in a generalized McKean type of free boundary problem satisfying the Dirichlet boundary condition. (English) Zbl 0920.35173 J. Partial Differ. Equations 12, No. 1, 71-84 (1999). MSC: 35R35 35B32 35B25 35G10 35K25 35K57 37G99 PDFBibTeX XMLCite \textit{Y. Ham}, J. Partial Differ. Equations 12, No. 1, 71--84 (1999; Zbl 0920.35173)
Kockelkoren, Julien; Okkels, Fridolin; Jensen, Mogens H. Chaotic behavior in shell models and shell maps. (English) Zbl 0949.76039 J. Stat. Phys. 93, No. 3-4, 833-842 (1998). MSC: 76F20 37N10 PDFBibTeX XMLCite \textit{J. Kockelkoren} et al., J. Stat. Phys. 93, No. 3--4, 833--842 (1998; Zbl 0949.76039) Full Text: DOI arXiv
Kertész, Viktor Coexistence of saddle-node and Poincaré-Andronov-Hopf bifurcations. (English) Zbl 0899.34026 Differ. Equ. Dyn. Syst. 5, No. 3-4, 267-288 (1997). Reviewer: Ye Yanqian (Nanjing) MSC: 34C23 34C05 PDFBibTeX XMLCite \textit{V. Kertész}, Differ. Equ. Dyn. Syst. 5, No. 3--4, 267--288 (1997; Zbl 0899.34026)
Doelman, Arjen; Verhulst, Ferdinand Bifurcations of strongly nonlinear self-excited oscillations. (English) Zbl 0792.34037 Math. Methods Appl. Sci. 17, No. 3, 189-207 (1994). MSC: 34C23 34C15 37G99 34C25 34E10 70K05 PDFBibTeX XMLCite \textit{A. Doelman} and \textit{F. Verhulst}, Math. Methods Appl. Sci. 17, No. 3, 189--207 (1994; Zbl 0792.34037) Full Text: DOI
Blows, T. R.; Rousseau, C. Bifurcation at infinity in polynomial vector fields. (English) Zbl 0778.34024 J. Differ. Equations 104, No. 2, 215-242 (1993). Reviewer: A.Boucherif (Tlemcen) MSC: 34C23 PDFBibTeX XMLCite \textit{T. R. Blows} and \textit{C. Rousseau}, J. Differ. Equations 104, No. 2, 215--242 (1993; Zbl 0778.34024) Full Text: DOI
Lund, Ole; Mosekilde, Erik; Hansen, Jan Chaos in a model of HIV infection of the immune system. (English) Zbl 0877.92016 Christiansen, P. L. (ed.) et al., Future directions of nonlinear dynamics in physical and biological systems. Proceedings of a NATO Advanced Study Institute in honour of Alwyn Scott’s 60th birthday, Lyngby, Denmark, July 23–August 1, 1992. New York, NY: Plenum. NATO ASI Ser., Ser. B, Phys. 312, 499-508 (1993). MSC: 92C50 37N99 92C30 37D45 PDFBibTeX XMLCite \textit{O. Lund} et al., NATO ASI Ser., Ser. B, Phys. 312, 499--508 (1993; Zbl 0877.92016)
Rothe, F. A priori estimates for nonlinear Poisson equations and phase plane analysis of the Emden-Fowler equation. (English) Zbl 0794.35058 Wiener, Joseph (ed.) et al., Partial differential equations. Proceedings of the international conference on theory and applications of differential equations held at the University of Texas-Pan American, Edinburg, TX (USA), May 15-18, 1991. Harlow: Longman Scientific & Technical. Pitman Res. Notes Math. Ser. 273, 192-200 (1992). MSC: 35J65 35B45 35D10 35B32 35B40 PDFBibTeX XMLCite \textit{F. Rothe}, Pitman Res. Notes Math. Ser. 273, 192--200 (1992; Zbl 0794.35058)
Iooss, G.; Mielke, A. Bifurcating time-periodic solutions of Navier-Stokes equations in infinite cylinders. (English) Zbl 0797.76010 J. Nonlinear Sci. 1, No. 1, 107-146 (1991). MSC: 76D05 35Q30 35B32 PDFBibTeX XMLCite \textit{G. Iooss} and \textit{A. Mielke}, J. Nonlinear Sci. 1, No. 1, 107--146 (1991; Zbl 0797.76010) Full Text: DOI
Dancsó, András; Farkas, Henrik; Farkas, Miklós; Szabó, György Investigations into a class of generalized two-dimensional Lotka-Volterra schemes. (English) Zbl 0738.92023 Acta Appl. Math. 23, No. 2, 103-127 (1991). Reviewer: Li Bingxi (Guangzhou) MSC: 92E20 92D25 34C23 92E99 PDFBibTeX XMLCite \textit{A. Dancsó} et al., Acta Appl. Math. 23, No. 2, 103--127 (1991; Zbl 0738.92023) Full Text: DOI
Furumochi, Tetsuo On the delay-differential equation \(\dot N(t)=N(t)(a-bN(t-1)-cN(t-2))\). (English) Zbl 0686.34065 Mem. Fac. Sci., Shimane Univ. 23, 57-71 (1989). MSC: 34K99 34K20 34C25 34C11 PDFBibTeX XMLCite \textit{T. Furumochi}, Mem. Fac. Sci., Shimane Univ. 23, 57--71 (1989; Zbl 0686.34065)
Joyal, Pierre Generalized Hopf bifurcation and its dual generalized homoclinic bifurcation. (English) Zbl 0642.34041 SIAM J. Appl. Math. 48, No. 3, 481-496 (1988). MSC: 34C25 PDFBibTeX XMLCite \textit{P. Joyal}, SIAM J. Appl. Math. 48, No. 3, 481--496 (1988; Zbl 0642.34041) Full Text: DOI
Moauro, Vinicio A stability problem for holonomic systems. (English) Zbl 0617.70012 Ann. Mat. Pura Appl., IV. Ser. 139, 227-235 (1985). Reviewer: H.S.P.Grässer MSC: 70F20 70K20 37C75 70G99 34D20 PDFBibTeX XMLCite \textit{V. Moauro}, Ann. Mat. Pura Appl. (4) 139, 227--235 (1985; Zbl 0617.70012) Full Text: DOI
Hale, Jack K.; Scheurle, Jürgen Smoothness of bounded solutions of nonlinear evolution equations. (English) Zbl 0505.34029 J. Differ. Equations 56, 142-163 (1985). MSC: 34C11 37-XX 34C25 34A34 34C27 PDFBibTeX XMLCite \textit{J. K. Hale} and \textit{J. Scheurle}, J. Differ. Equations 56, 142--163 (1985; Zbl 0505.34029) Full Text: DOI
Tobak, Murray; Chapman, Gary T.; Schiff, Lewis B. Mathematical modeling of the aerodynamic characteristics in flight dynamics. (English) Zbl 0622.76065 Nonlinear problems in control and fluid dynamics, Proc. Conf., Berkeley/Calif. 1983, Lie Groups, Hist. Front. Appl., Ser. B 2, 435-450 (1984). MSC: 76G25 76-02 76F99 PDFBibTeX XML
Chow, S. N. Virtual periods and global continuation of periodic orbits. (English) Zbl 0551.58027 Delft Prog. Rep. 9, 28-35 (1984). Reviewer: St.Schecter MSC: 37G99 34C25 PDFBibTeX XMLCite \textit{S. N. Chow}, Delft Prog. Rep. 9, 28--35 (1984; Zbl 0551.58027)
Benhabib, Jess; Miyao, Takahiro Some new results on the dynamics of the generalized Tobin model. (English) Zbl 0478.90010 Int. Econ. Rev. 22, 589-596 (1981). MSC: 91B62 PDFBibTeX XMLCite \textit{J. Benhabib} and \textit{T. Miyao}, Int. Econ. Rev. 22, 589--596 (1981; Zbl 0478.90010) Full Text: DOI
Flockerzi, Dietrich Bifurcation formulas for O.D.E.’s in \(R^ n\). (English) Zbl 0451.34036 Nonlinear Anal., Theory Methods Appl. 5, 249-263 (1981). MSC: 34C15 34C25 34C29 34C45 PDFBibTeX XMLCite \textit{D. Flockerzi}, Nonlinear Anal., Theory Methods Appl. 5, 249--263 (1981; Zbl 0451.34036) Full Text: DOI
Mullikin, T. W. Wiener-Hopf factorizations: Computational methods for a class of matrix functions. (English) Zbl 0452.65076 J. Integral Equations 1, 217-240 (1979). MSC: 65R10 45E10 45G05 82C70 85A25 65R20 PDFBibTeX XMLCite \textit{T. W. Mullikin}, J. Integral Equations 1, 217--240 (1979; Zbl 0452.65076)
Chenciner, A.; Iooss, G. Persistance et bifurcation de tores invariants. (French) Zbl 0417.35013 Arch. Ration. Mech. Anal. 71, 301-306 (1979). MSC: 35B32 35A25 PDFBibTeX XMLCite \textit{A. Chenciner} and \textit{G. Iooss}, Arch. Ration. Mech. Anal. 71, 301--306 (1979; Zbl 0417.35013) Full Text: DOI