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Results tagged with ds.dynamical-systems
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user 77927
Dynamics of flows and maps (continuous and discrete time), including infinite-dimensional dynamics, Hamiltonian dynamics, ergodic theory.
3
votes
Nonlinear ODE system: stability
Another approach would be to expand in series form around some equilibrium point, and observe whether the lower order terms resemble some "known" behaviour, which is known as a normal form on the cent …
- 274
2
votes
Accepted
Quadratic stability of linear time varying system
Sure: take the scalar ODE $\dot x=-x$, with $A=-1$, which is exponentially stable and the state transition matrix is $\Phi(t)=e^{-t}$ (i.e. $x(t)=\Phi(t) x_0$). Assume $Q=e^{2t}$, which is not bounded …
- 274
2
votes
Fit a system of linear ODEs from several experiments
(This is more of a comment but not enough reputation to do)
It seems a case for system identification (e.g. http://es.mathworks.com/products/sysid/) but I do not get the dependence on $p$, does it st …
- 274