Dédoublement de courbes invariantes sur le cylindre: petits diviseurs. (Small divisors phenomena in an invariant curve doubling bifurcation on a cylinder)

DOI10.1016/S0294-1449(16)30354-7zbMath0667.58045MaRDI QIDQ1117537

Jérôme E. Los

Publication date: 1988

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_1988__5_1_37_0

zbMATH Keywords

Hopf bifurcationdivisorsperiod doublingcentral manifoldFrechet spacesbifurcation on the cylinder

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items

Quasi-periodic bifurcations of invariant circles in low-dimensional dissipative dynamical systems, Transition state theory with quasi-periodic forcing

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