Generic bifurcations of the twist coefficient

DOI10.1017/S0143385700005472zbMath0734.58021MaRDI QIDQ3361583

Richard Moeckel

Publication date: 1990

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

bifurcationsHenon maptwist maps

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Differentiable maps on manifolds (58C25) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items

Birkhoff normal forms, KAM theory and time reversal symmetry for certain rational map, Applications of KAM theory to population dynamics, Birkhoff normal form and twist coefficients of periodic orbits of billiards*, Stability of the phase motion in race-track microtrons, Stability analysis of a certain class of difference equations by using KAM theory, Symmetric periodic orbits in symmetric billiards, Meanders and reconnection–collision sequences in the standard nontwist map, Twist singularities for symplectic maps, Finding the complement of the invariant manifolds transverse to a given foliation for a 3D flow, The twist coefficient of periodic solutions of a time-dependent Newton's equation, Vanishing twist in the Hamiltonian Hopf bifurcation, Normal forms for 4D symplectic maps with twist singularities, Elliptic islands in generalized Sinai billiards, Another look at the saddle-centre bifurcation: vanishing twist.

Cites Work

• Unnamed Item
• Computation of the Stability Condition for the Hopf Bifurcation of Diffeomorphisms on $\mathbb{R}^2 $
• Generic Bifurcation of Periodic Points