Centre (dynamics)

Nonlinear centres in reversible 2D flows

If the origin is a linear centre of a reversible 2D flow , then there exists a neighbourhood containing periodic solutions.1 #m/thm/dynamics/flow

Proof

#missing/proof

#state/develop | #lang/en | #SemBr

Footnotes

  1. 2024. Nonlinear dynamics and chaos: With applications to physics, biology, chemistry, and engineering, §6.6, p. 181 ↩