Normal Form, Invariants, and Bifurcations of Nonlinear Control Systems in the Particle Deflection Plane

Feedback Classification of Nonlinear Single-Input Control Systems with Controllable Linearization: Normal Forms, Canonical Forms, and Invariants

“…It has been used to study bifurcations of nonlinear systems [23], [24], [25], has led to a complete description of symmetries around equilibrium [30], [31], and has allowed us to characterize systems equivalent to feedforward forms [35], [36], [37].…”