Constructed complex motions and chaos

This focus issue is about constructed complex motions in nonlinear systems and system interactions. In nonlinear engineering, it is important to achieve specific complex motions to satisfy expected dynamical behaviors (e.g., control trajectories, periodic motions, singularity and bifurcations) and specific motion applications. Traditional analyses are mainly based on equilibria and local singularity and bifurcation analysis, which cannot obtain expected motions and global dynamical behaviors. In recent years, to achieve such expected motions and global dynamical behaviors, mapping dynamics rather than symbolic dynamics were used to quantitatively determine complex motions. The mapping dynamics are based on the symbolic dynamics abstract and topological structures to investigate constructed complex motions. Thus, constructed complex motions with specific topological structures satisfy expected dynamical behaviors (including existence, stability, singularity, and bifurcations). To stimulate more research on constructed complex motions in dynamical systems, numerical and analytical techniques for constructed complex motions are of great interest in this focus issue, as is the discussion on complexity and global behaviors of constructed motions.

Guest Editors: Albert C.J. Luo, Jianzhe Huang, Yeyin Xu, and Stefano Lenci