Near a hyperbolic fixed point (no eigenvalues of Df(x*) on the imaginary axis), a smooth flow is locally topologically conjugate (C⁰) to its linearisation. Grobman 1959, Hartman 1960. Fails at non-hyperbolic points (centres, parabolic)…
Near a hyperbolic fixed point (no eigenvalues of Df(x*) on the imaginary axis), a smooth flow is locally topologically conjugate (C⁰) to its linearisation. Grobman 1959, Hartman 1960. Fails at non-hyperbolic points (centres, parabolic)…