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[00177] Bifurcations of Limit Cycles and Multistability in Polynomial Dynamical Systems

  • Session Time & Room : 5C (Aug.25, 13:20-15:00) @G401
  • Type : Contributed Talk
  • Abstract : We study global limit cycle bifurcations and multistability in 2D polynomial dynamical systems, namely, in: the general Liénard polynomial system, the Euler-Lagrange-Liénard mechanical system, Leslie-Gower ecological or biomedical systems, and a reduced quartic Topp system which models the dynamics of diabetes. We study also 3D polynomial dynamical systems and, in particular, complete the strange attractor bifurcation scenarios in Lorenz type systems connecting globally the homoclinic, period-doubling, Andronov-Shilnikov, and period-halving bifurcations of limit cycles.
  • Classification : 34C05, 34C07, 34C23, 37G10, 37G15
  • Format : Talk at Waseda University
  • Author(s) :
    • Valery A. Gaiko (United Institute of Informatics Problems, National Academy of Sciences of Belarus)