1DMaps is a software that iterates 1D dynamical systems and generates bifurcation diagrams, with two-dimensional graphics to present the results.
1DMaps is an exceptional software that enables exploration of the dynamics and chaos in one-dimensional dynamical systems. It provides various features like cobweb, bifurcation, escape time, Lyapunov, and density plots. With seven available maps, it is an ideal tool for students and instructors to teach and learn dynamical systems concepts.
One of the key features of this software is "Cobweb," which allows users to display the function and iterations using the cobweb diagram. With the ability to change the initial condition by clicking in the plot window, users can iterate one step by using the spacebar. The software also enables users to set the number of iterates and parameters using the "Set Parameters" menu.
Another noteworthy feature is the "Bifurcation" diagram that varies one parameter of the system, enabling users to explore changes in the system's behavior. In addition, users can use the "Invariant Density" feature to show the average occupation number in a histogram of a specific orbit.
Another incredible feature is the "Lyapunov Exponent" that helps compute the stability of the initial conditions as a function of the system's parameters. The software provides an "Exit Time" feature to compute the time for initial conditions to escape to infinity - ideal for maps with orbits that are unbounded.
In summary, 1DMaps is a time-efficient software that provides various features to aid instructors and students in teaching and learning dynamical systems. It is a must-have tool for anyone who wants to explore chaos and dynamics in a one-dimensional dynamical system.
One of the key features of this software is "Cobweb," which allows users to display the function and iterations using the cobweb diagram. With the ability to change the initial condition by clicking in the plot window, users can iterate one step by using the spacebar. The software also enables users to set the number of iterates and parameters using the "Set Parameters" menu.
Another noteworthy feature is the "Bifurcation" diagram that varies one parameter of the system, enabling users to explore changes in the system's behavior. In addition, users can use the "Invariant Density" feature to show the average occupation number in a histogram of a specific orbit.
Another incredible feature is the "Lyapunov Exponent" that helps compute the stability of the initial conditions as a function of the system's parameters. The software provides an "Exit Time" feature to compute the time for initial conditions to escape to infinity - ideal for maps with orbits that are unbounded.
In summary, 1DMaps is a time-efficient software that provides various features to aid instructors and students in teaching and learning dynamical systems. It is a must-have tool for anyone who wants to explore chaos and dynamics in a one-dimensional dynamical system.
What's New
Version 1.4: N/A