Dynamic transport: From bifurcation to multistability

Complex dynamic evolution may originate from parameter-controlled bifurcation or initial-condition-oriented multistability. Offset boosting of any attractor in a system can be realized by directly introducing a constant or by nudging an initial condition, which sets up a bridge between bifurcation and multistability. As an effective tool, designing a piecewise-linear function is fundamentally important for transporting any desired attractor to an initial-condition-controlled phase space. In this letter, the principle and methodology of dynamic transport is studied in detail.