Publications by authors named "Juan P Tarigo"
Article Synopsis
- - The Mackey-Glass system is a complex delayed model with many stable and chaotic patterns, making long-term predictions difficult due to its infinite dimensionality and dependence on initial conditions.
- - The paper introduces an extended method for analyzing these systems by incorporating basin entropy and sampling techniques to explore high-dimensional spaces, enhancing our understanding of attractor structures.
- - The findings help quantify predictability based on initial conditions, providing insights into how trajectories evolve over time, which can be applied to other complex systems of infinite dimensions.
The basin entropy is a measure that quantifies, in a system that has two or more attractors, the predictability of a final state, as a function of the initial conditions. While the basin entropy has been demonstrated on a variety of multistable dynamical systems, to the best of our knowledge, it has not yet been tested in systems with a time delay, whose phase space is infinite dimensional because the initial conditions are functions defined in a time interval [-τ,0], where τ is the delay time. Here, we consider a simple time-delayed system consisting of a bistable system with a linear delayed feedback term.
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