Mapping Multivariate Time Series to Trajectories in Phase Space: A Recursive Approach

This article delves into the recursive process of mapping multivariate time series to trajectories in phase space. This approach provides a powerful tool for analyzing complex systems by representing their evolution over time as paths within a multi-dimensional space. By understanding the dynamics of these trajectories, we can gain valuable insights into the underlying mechanisms of the system. This method has applications across various fields, including physics, biology, and economics, enabling researchers to explore patterns, identify emergent behavior, and make predictions about future system states.