CONTROLLING TURBULENCE VIA TARGET WAVES GENERATED BY LOCAL PHASE SPACE COMPRESSION

Abstract

The control of spatiotemporal chaos by developing target waves via local phase space compression in dynamical systems described by partial differential equation is reported. By considering spatially one-dimensional (1D) and two-dimensional (2D) complex Ginzburg–Landau equations (CGLE), we find that by using local system perturbation and confining variable in a finite range within a controlled area, periodic signals are generated and spread into an uncontrolled area in 1D spatiotemporal systems with weak turbulence. In 2D systems, target waves can be developed to suppress spatiotemporal chaos by using this compression technique in the convective instability area. The controllable parameters are investigated by performing numerical simulations.