Zhusubaliyev, Zhanybai T.; Mosekilde, Erik Multilayered tori in a system of two coupled logistic maps. (English) Zbl 1228.37039 Phys. Lett., A 373, No. 10, 946-951 (2009). MSC: 37G15 37D45 70K30 PDFBibTeX XMLCite \textit{Z. T. Zhusubaliyev} and \textit{E. Mosekilde}, Phys. Lett., A 373, No. 10, 946--951 (2009; Zbl 1228.37039) Full Text: DOI
Govaerts, W.; Ghaziani, R. Khoshsiar; Kuznetsov, Yu. A.; Meijer, H. G. E. Numerical methods for two-parameter local bifurcation analysis of maps. (English) Zbl 1155.65397 SIAM J. Sci. Comput. 29, No. 6, 2644-2667 (2007). MSC: 65P30 37G05 37M20 PDFBibTeX XMLCite \textit{W. Govaerts} et al., SIAM J. Sci. Comput. 29, No. 6, 2644--2667 (2007; Zbl 1155.65397) Full Text: DOI Link
Algaba, Antonio; Freire, Emilio; Gamero, Estanislao; Rodríguez-Luis, Alejandro J. Resonances of periodic orbits in Rössler system in presence of a triple-zero bifurcation. (English) Zbl 1145.37322 Int. J. Bifurcation Chaos Appl. Sci. Eng. 17, No. 6, 1997-2008 (2007). MSC: 37G15 34C25 37C27 35Q53 PDFBibTeX XMLCite \textit{A. Algaba} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 17, No. 6, 1997--2008 (2007; Zbl 1145.37322) Full Text: DOI
Freire, Emilio; Rodríguez-Luis, Alejandro J. Numerical bifurcation analysis of electronic circuits. (English) Zbl 1126.65107 Krauskopf, Bernd (ed.) et al., Numerical continuation methods for dynamical systems. Path following and boundary value problems. Dordrecht: Springer (ISBN 978-1-4020-6355-8/hbk). Understanding Complex Systems, 221-251 (2007). MSC: 65P30 37G15 37M20 PDFBibTeX XMLCite \textit{E. Freire} and \textit{A. J. Rodríguez-Luis}, in: Numerical continuation methods for dynamical systems. Path following and boundary value problems. Dordrecht: Springer. 221--251 (2007; Zbl 1126.65107)
Rademacher, Jens D. M. Homoclinic orbits near heteroclinic cycles with one equilibrium and one periodic orbit. (English) Zbl 1091.34026 J. Differ. Equations 218, No. 2, 390-443 (2005). Reviewer: Eugene Ershov (St. Petersburg) MSC: 34C37 34C25 34C23 PDFBibTeX XMLCite \textit{J. D. M. Rademacher}, J. Differ. Equations 218, No. 2, 390--443 (2005; Zbl 1091.34026) Full Text: DOI
Krauskopf, Bernd; Oldeman, Bart E. A planar model system for the saddle-node Hopf bifurcation with global reinjection. (English) Zbl 1061.37028 Nonlinearity 17, No. 4, 1119-1151 (2004). Reviewer: Alois Klíč (Praha) MSC: 37G10 37G15 34C14 34C60 PDFBibTeX XMLCite \textit{B. Krauskopf} and \textit{B. E. Oldeman}, Nonlinearity 17, No. 4, 1119--1151 (2004; Zbl 1061.37028) Full Text: DOI
Dhooge, A.; Govaerts, W.; Kuznetsov, Yu. A. MATCONT: A MATLAB package for numerical bifurcation analysis of ODEs. (English) Zbl 1070.65574 ACM Trans. Math. Softw. 29, No. 2, 141-164 (2003). MSC: 65P30 65Y15 37-04 37M20 37G15 PDFBibTeX XMLCite \textit{A. Dhooge} et al., ACM Trans. Math. Softw. 29, No. 2, 141--164 (2003; Zbl 1070.65574) Full Text: DOI
Krauskopf, Bernd; Green, Kirk Computing unstable manifolds of periodic orbits in delay differential equations. (English) Zbl 1017.65102 J. Comput. Phys. 186, No. 1, 230-249 (2003). MSC: 65P40 82D37 34K28 37M20 65P30 37C27 37G15 PDFBibTeX XMLCite \textit{B. Krauskopf} and \textit{K. Green}, J. Comput. Phys. 186, No. 1, 230--249 (2003; Zbl 1017.65102) Full Text: DOI
Oldeman, Bart E.; Krauskopf, Bernd; Champneys, Alan R. Numerical unfoldings of codimension-three resonant homoclinic flip bifurcations. (English) Zbl 0990.37039 Nonlinearity 14, No. 3, 597-621 (2001). Reviewer: Jörg Härterich (Berlin) MSC: 37G20 37M20 34C37 37G15 37C29 65P30 PDFBibTeX XMLCite \textit{B. E. Oldeman} et al., Nonlinearity 14, No. 3, 597--621 (2001; Zbl 0990.37039) Full Text: DOI Link
Boer, M. P.; Kooi, B. W.; Kooijman, S. A. L. M. Multiple attractors and boundary crises in a tri-trophic food chain. (English) Zbl 0981.92032 Math. Biosci. 169, No. 2, 109-128 (2001). MSC: 92D40 37N25 37G15 34C23 PDFBibTeX XMLCite \textit{M. P. Boer} et al., Math. Biosci. 169, No. 2, 109--128 (2001; Zbl 0981.92032) Full Text: DOI
Moehlis, Jeff; Knobloch, Edgar Bursts in oscillatory systems with broken \(D_4\) symmetry. (English) Zbl 0941.34024 Physica D 135, No. 3-4, 263-304 (2000). Reviewer: E.Ershov (St.Peterburg) MSC: 34C15 34C23 34C37 34C14 PDFBibTeX XMLCite \textit{J. Moehlis} and \textit{E. Knobloch}, Physica D 135, No. 3--4, 263--304 (2000; Zbl 0941.34024) Full Text: DOI
Ashwin, Peter; Field, Michael Heteroclinic networks in coupled cell systems. (English) Zbl 0947.37012 Arch. Ration. Mech. Anal. 148, No. 2, 107-143 (1999). Reviewer: Mike Hurley (Cleveland) MSC: 37C80 37C29 PDFBibTeX XMLCite \textit{P. Ashwin} and \textit{M. Field}, Arch. Ration. Mech. Anal. 148, No. 2, 107--143 (1999; Zbl 0947.37012) 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 PDFBibTeX XMLCite \textit{A. I. Khibnik} et al., Nonlinearity 11, No. 6, 1505--1519 (1998; Zbl 0920.58034) Full Text: DOI Link
Krauskopf, Bernd; Rousseau, Christiane Codimension-three unfoldings of reflectionally symmetric planar vector fields. (English) Zbl 0904.34025 Nonlinearity 10, No. 5, 1115-1150 (1997). MSC: 34C05 37G05 34C37 37G99 34C23 PDFBibTeX XMLCite \textit{B. Krauskopf} and \textit{C. Rousseau}, Nonlinearity 10, No. 5, 1115--1150 (1997; Zbl 0904.34025) Full Text: DOI
Johnson, Mark E.; Jolly, Michael S.; Kevrekidis, Ioannis G. Two-dimensional invariant manifolds and global bifurcations: Some approximation and visualization studies. (English) Zbl 0885.65081 Numer. Algorithms 14, No. 1-3, 125-140 (1997). Reviewer: B.V.Loginov (Ul’yanovsk) MSC: 65L05 34C30 37G99 PDFBibTeX XMLCite \textit{M. E. Johnson} et al., Numer. Algorithms 14, No. 1--3, 125--140 (1997; Zbl 0885.65081) Full Text: DOI
Myers, Mark; Holmes, Philip; Elezgaray, Juan; Berkooz, Gal Wavelet projections of the Kuramoto-Sivashinsky equation. I: Heteroclinic cycles and modulated traveling waves for short systems. (English) Zbl 0890.58086 Physica D 86, No. 3, 396-427 (1995). MSC: 35K55 35Q53 82B44 37C80 PDFBibTeX XMLCite \textit{M. Myers} et al., Physica D 86, No. 3, 396--427 (1995; Zbl 0890.58086) Full Text: DOI