Geometry of dynamical system
- Phase space: The space spanned by state variables of a dynamical system. The dimensionality of the phase space is thus given by the order of the DE system it is defined by.
- Trajectory: The curve corresponding to a particular solution of the system's state variables in this space for a given initial condition.
- Non-autonomous systems: Will be re-written as stated above, as a system of coupled ODEs. This may lead to non-traditional terminology, since the forced harmonic oscillator, usually a second order linear differential equation, now turns into a third-order non-linear system.