Talk:Quasiperiodic oscillations

I found some small errors and recommend possible corrections:

(1) Page 1\[ (k,\omega) = k_1 \omega_1 + \ldots + k_m \omega_m \neq 0 \] -– without brackets

(2) Page 3, line 3: Between these 2 cases with \( p=m \) or \( p=0 \) quasiperiodic external forces, there exist many dynamical systems in practical applications, where \( p \) basic frequencies are given with \( 0 < p < m \). Typical examples are periodically forced systems \((p=1)\), which give rise to bi-periodic \((m=2)\) oscillations.

Reviewer, please explain this or correct the article directly.

(3) Page 4, line 11: ...be a quasiperiodic solution of (5). –- Number of the formula is wrong!

(4) Page 5, line 6: The ode system must be \( \quad \frac{d y_\nu}{d t} = y_\nu \)

(5) Page 5, line 11: The second part of this system must be \( \quad \frac{d h}{d t} = P(\phi,h, \mu) + \mu c(\phi), \)

(6) Page 6, lines 9 and 10: The frequency basis should be always denoted by \( \omega \) (instead of changing it to \( \lambda \) now!), because this is a short contribution.

(7) Page 6, line 15: The right hand side of the system must be \( \epsilon f \left( x_1,\ldots, x_n; \frac{dx_1}{dt}, \ldots, \frac{dx_n}{dt} \right), \) – the last index is wrong!

(8) Page 6, line 28: Instead of "'Re spectrum"' I recommend: ... all eigenvalues of \( \frac{\partial A(b^0)}{\partial a} \) have nonzero real parts ...

(9) Page 7, line 6: At the end, it could be mentioned (in this basic contribution on Quasiperiodic Oscillations), that efficient numerical methods for computing quasiperiodic solutions and toroidal manifolds of the general systems (1) and (2) have been developed (expecially by Luca Dieci, Hinke Osinga, Gerald Moore et al.) and successfully applied.

Reviewer, please include the bibliographic references into the article and into the "references" part.

Werner Vogt, Technische Universitaet Ilmenau, Ilmenau, Germany