IIvés

IIvés is a computational tool designed for the analysis of iterative processes. It provides a user-friendly interface to explore, visualize, and understand the behavior of systems that evolve over discrete steps. The software is particularly useful in fields such as mathematics, physics, computer science, and economics, where iterative algorithms and dynamical systems are commonly studied.

The core functionality of IIvés revolves around the definition and execution of iterative functions. Users can input their own mathematical expressions or select from a library of pre-defined functions. The tool then simulates the iterative process, calculating the output of the function for a given starting value and repeating this process a specified number of times or until a certain convergence criterion is met.

A key feature of IIvés is its visualization capabilities. It can generate various types of plots, including time series graphs, phase portraits, and bifurcation diagrams, which help users to identify patterns, attractors, and chaotic behavior within the iterative system. This visual feedback is crucial for gaining insights into the underlying dynamics of the problem being studied.

IIvés also offers tools for parameter exploration. Users can systematically vary parameters within their iterative functions and observe how these changes affect the system's behavior. This allows for sensitivity analysis and the identification of critical parameter values that lead to significant shifts in the system's long-term evolution. The software is available as both a standalone application and a library for integration into larger computational workflows.