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 book combines a comprehensive state-of-the-art analysis of bifurcations of discrete-
time dynamical systems with concrete instruction on implementations (and example …

In this paper we present a characterization for the existence of an exponential dichotomy for
a linear evolutionary system on a Banach space. The theory we present here applies to …

Page 1 Number 421 HW Broer GB Huitema F. Takens and BLJ Braaksma Unfoldings and
bifurcations of quasi-periodic tori Q Memoirs of the American Mathematical Society Providence …

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

Although, bifurcation theory of equations with autonomous and periodic time dependence is
a major object of research in the study of dynamical systems since decades, the notion of a …

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 …

A simple example is considered of Hill's equation ̈ x+(a^ 2+ bp (t)) x= 0, where the forcing
term p, instead of periodic, is quasi-periodic with two frequencies. A geometric exploration is …

For a quasi-periodically forced oscillator, response solutions are quasi-periodic ones having
the same frequencies as that of the forcing function. Typically being the most stable or robust …

We consider the existence of responsive tori for the completely degenerate Hamiltonian
system with the following Hamiltonian $ H\left (\theta, I, x, y,{\epsilon}\right)=\langle\omega …