The total number of such permutations is equal to (n—1)(«—2)/2. Some of them are rotations
(isomorphic to the addition of a constant to the residues modn). But it is not clear what …

This paper first summarizes the theory of quasi-periodic bifurcations for dissipative
dynamical systems. Then it presents algorithms for the computation and continuation of …

Once again KAM theory is committed in the context of nearly integrable Hamiltonian
systems. While elliptic and hyperbolic tori determine the distribution of maximal invariant tori …

We give a qualitative description of two main routes to chaos in three-dimensional maps. We
discuss Shilnikov scenario of transition to spiral chaos and a scenario of transition to …

The two main stability results for nearly-integrable Hamiltonian systems are revisited:
Nekhoroshev theorem, concerning exponential lower bounds for the stability time (effective …

A generalised Hopf bifurcation, corresponding to non-semisimple double imaginary
eigenvalues (case of 1: 1 resonance), is analysed using a normal form approach. This …

We display a gallery of Lorenz-like attractors that emerge in a class of three-dimensional
maps. We review the theory of Lorenz-like attractors for diffeomorphisms (as opposed to …

Two one-parametric bifurcation problems for scalar nonautonomous ordinary differential
equations are analyzed assuming the coercivity of the time-dependent function determining …

Unfoldings of quasi-periodic tori in reversible systems Page 1 Journal of Dynamics and
Differential Equations, VoL 7, No. 1, 1995 Unfoldings of Quasi-periodic Tori in Reversible …

We consider families of dynamical systems having invariant tori that carry quasi-periodic
motions. Our interest is the persistence of such tori under small, nearly-integrable …