Abstract
We know the flow on the phase space \({\mathbb R}^n\) that is generated by a linear differential equation.
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Notes
- 1.
This is a nontrivial result, using tools from algebraic topology.
- 2.
A domain is defined as an open, nonempty and connected subset of a topological space.
- 3.
In contrast to this friction, which is proportional to the velocity and named after Stokes, the friction within a turbulent fluid is empirically described as being proportional to the square of the velocity.
- 4.
called ‘circular frequency’ in physics.
- 5.
We assume here a damping \(k<\sqrt{2}\).
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Knauf, A. (2018). Classification of Linear Flows. In: Mathematical Physics: Classical Mechanics. UNITEXT(), vol 109. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-55774-7_5
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DOI: https://doi.org/10.1007/978-3-662-55774-7_5
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