References
- H.N. Agiza, G. Italo Bischi, and M. Kopel, Multistability in dynamic Cournot game with three oligopolists, Math. Comput. Simul. 51 (1999), pp. 63–90. doi: 10.1016/S0378-4754(99)00106-8
- AUTO-07P : Continuation and bifurcation software for ordinary differential equations, E.J. Doedel and B.E. Oldeman, Concordia University, Montreal, Canada. Available at https://sourceforge.net/projects/auto-07p/.
- P. Chossat and M. Golubitsky, Iterates of maps with symmetry, SIAM J. Math. Anal. 19 (1988), pp. 1259–1270. doi: 10.1137/0519092
- A. Dhooge, W. Govaerts, Yu.A. Kuznetsov, H.G.E. Meijer, and B. Sautois, New features of the software matcont for bifurcation analysis of dynamical systems, Math. Comp. Mod. Dyn. Syst. 14 (2008), pp. 147–175. doi: 10.1080/13873950701742754
- C. Elphick, E. Tirapegui, M.E. Brachet, P. Coullet, and G. Iooss, A simple global characterization for normal forms of singular vector fields, Phys. D 29 (1987), pp. 95–127. doi: 10.1016/0167-2789(87)90049-2
- M.J. Field, Dynamics and Symmetry, Advanced texts in mathematics Vol. 3, Imperial College Press, London, 2007.
- M. Golubitsky and D.G. Schaeffer, Singularities and Groups in Bifurcation Theory, vol. I, in Appl. Math. Sci., Vol. 51, Springer-Verlag, New York, 1985.
- M. Golubitkky, I. Stewart, and D.G. Schaeffer, Singularities and Groups in Bifurcation Theory, vol. II, in Appl. Math. Sci., Vol. 69, Springer-Verlag, New York, 1988.
- W. Govaerts, Numerical Methods for Bifurcations of Dynamical Equilibria, SIAM, Philadelphia, PA, 2000.
- W. Govaerts, R. KhoshsiarGhaziani, Yu.A. Kuznetsov, and H.G.E. Meijer, Numerical methods for two parameter local bifurcation analysis of maps, SIAM. J. Sci. Comput. 29 (2007), pp. 2644–2667. doi: 10.1137/060653858
- G. Iooss and M. Adelmeyer, Topics in Bifurcation Theory and Applications, World Scientific, Singapore, 1999.
- Yu.A. Kuznetsov, Elements of Applied Bifurcation Theory, 3rd ed., Springer-Verlag, Berlin, 2004.
- Yu.A. Kuznetsov and H.G.E. Meijer, Numerical normal forms for codim 2 bifurcations of fixed points with at most two critical eigenvalues, SIAM. J. Sci. Comput. 26 (2005), pp. 1932–1954. doi: 10.1137/030601508
- R. Mazrooei-Sebdani, Z. Eskandari, and H.G.E. Meijer, Numerical and theoretical bifurcation analysis of double +1 multiplier in Z3-symmetric maps, TW memorandum 2058, Department of Mathematics, University of Twente. Available at https://research.utwente.nl/en/publications/numerical-bifurcation-analysis-of-double-1-multiplier-in-z3-symme.
- H.G.E. Meijer, Codimension 2 bifurcations of iterated maps, Ph.D. thesis, Utrecht University, 2006.
- H. Richter and A. Stolk, Control of the triple chaotic attractor in a Cournot triopoly model, Chaos Solitons Fractals 20 (2004), pp. 409–413. doi: 10.1016/S0960-0779(03)00389-8