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2 votes
1 answer
933 views

Is state space representation useful for nonlinear control systems?

I understand that the state space representation is mathematically equivalent to the transfer function representation for linear systems, and that it allows us to solve the corresponding DE by finding ...
Mikayla Eckel Cifrese's user avatar
6 votes
2 answers
259 views

Dynamical system defined with a non-abelian group

Soft question. I'm taking an introductory mini-course in dynamical systems, and the professor defined a continuous dynamical system in a topological space $M $ (or metric space, smooth manifold, or ...
Ivo Terek's user avatar
  • 78.4k
1 vote
0 answers
84 views

How to show that a seperatrix exists for the Fisher-KPP equation

We have the Fisher-KPP equation: $\frac{\partial u}{\partial t} = \frac{\partial^2 u}{\partial x^2} + ru(1-u)$ We can reduce this to a second order ODE: $cu_{\xi} = u_{\xi\xi}+u(1-u)$ where $\xi = x+...
DanSim's user avatar
  • 11
1 vote
2 answers
184 views

Need a textbook for math course

The undergrad course is called intro the applied math, and it covers: "The unit introduces some of the principal mathematical techniques such as difference equations, differential equations and ...
user40300's user avatar