Frequency locking in extended systems: The impact of a Turing mode Academic Article uri icon

abstract

  • Abstract A Turing mode in an extended periodically forced oscillatory system can change the classical resonance boundaries of a single forced oscillator. Using the normal form equation for forced oscillations, we identify a Hopf-Turing bifurcation point around which we perform a weak nonlinear analysis. We show that resonant standing waves can exist outside the 2: 1 resonance region of uniform oscillations, and non-resonant mixed-mode oscillations may prevail inside the resonance region.

publication date

  • January 1, 2005