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Discrete Dynamical Systems

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Nonlinear Difference Equations

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DDS-NDE

 

Welcome to this gateway to the discrete-dynamics universe

This website contains substantial information, intriguing images and many links to interesting places on the internet that relate to Discrete Dynamical Systems (DDS). These systems are often modeled by Nonlinear Difference Equations (NDE) where time changes in discrete steps. Examples of DDS include the interest rate on mortgages offered by a bank that is updated daily and represents a quantity that changes in discrete time steps (days). Also the annual emergence of cicadas from the ground once a year for mating and their subsequent return to the ground is a discrete-time (annual) periodic occurrence of an event. The DDS universe is filled with applications and NDE-based models of phenomena in the social and natural sciences (economics, biology, physics...).

Enjoy exploring the DDS universe

Use the buttons on the left to access information on a wide range of resources that involve DDS-NDE models. Regardless of your technical background, you may find the images of orbits and attractors for some of the NDE especially intriguing (click on the Attractors button). These images typically come with detailed information about them in case you decide to explore further.

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