Jochen Damerau

5 Questions 23 Answers 0 Followers

Questions related from Jochen Damerau

What bifurcations occur in systems that are not in general position?

If we have a dynamical system that is not in general position (see Shilnikov, 2nd book, p. 546) that means the matrix: [ \frac{\partial G}{\partial \epsilon_1} & \ldots & \frac{\partial...

23 May 2014 6,118 2 View

How can I investigate bifurcation that are not completely unfolded?

I have a dynamical system restricted to it's (1d-) Center Manifold. All coefficients of the 'pure' variable up to a certain order are zero. There are not enough parameters to fully unfold the...

17 May 2014 2,642 3 View

Is there an overview of all possible codimension 1 and 2 bifurcation of vector fields?

Given a 2D-vector field with a non-hyperbolic fixed point, I would like to have an overview of all possible bifurcations and their normal forms and versal unfoldings, including for bifurcations...

30 January 2014 9,517 10 View

How do I determine the normal form of a non-linear vector-field?

I have a two dimensional, non-linear vector field [f_1(x_1,x_2); f_2(x_1,x_2)] with a fixed point at the origin. Is there a generally applicable, easy to understand (for engineers) method for...

08 January 2014 4,674 3 View

How can you find out if a critical point of a vector field is degenerate?

I have a vector field V:R2->R2 and I know the critical point set, where the determinant of the Jacobian vanishes. I am looking for an analytical and easy-to-use method to determine if a point from...

31 October 2013 7,178 4 View