10 Questions 24 Answers 0 Followers
Questions related from Jochen Damerau
Did anyone manage to run OpenSim with GUI and without the need to purchase a Windows license on MacOsX and could share with me how to do it?
02 February 2015 8,293 1 View
When ignoring the parameter-dependency, the takens normal form can be derived formally by analyzing the resonant terms. If we want to preserve the parameter-dependency, how can the simplest form...
05 May 2014 3,855 1 View
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...
05 May 2014 5,524 3 View
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...
05 May 2014 1,030 3 View
If you have a dynamical system with zero eigenvalues in the linear part, one common method to restrict it to the center manifold is to transform it such that the linear terms are in Jordan normal...
03 March 2014 4,837 4 View
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...
01 January 2014 7,847 10 View
I want to plot a curve in R^3 that is defined implicitly by the two constraints f_1(x_1,x_2,x_3)=0 and f_2(x_1,x_2,x_3)=0.
01 January 2014 1,567 10 View
Having a family of vector fields (non-linear, 2d), depending on several control parameters with degenerate fixed points for some values of these, how can we determine the bifurcation type from the...
01 January 2014 3,949 1 View
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...
01 January 2014 3,099 3 View
The quadratic term of a Taylor expansion of a multivariate scalar valued function can be expressed in terms of the Hessian. Is there a similar form for vector valued functions, in the sense that...
10 October 2013 247 7 View