Pages similar to: More details on solving linear discrete dynamical systems
- Exponential growth and decay modeled by discrete dynamical systems
Overview of exponential growth and decay in discrete time. Exploration of their qualitative properties as well as solutions to the dynamical system. - Doubling time and half-life of exponential growth and decay
How exponential growth is characterized by a doubling time and exponential decay is characterized by a half-life. - A model of chemical pollution in a lake
A discrete dynamical system model of chemical pollution in a lake illustrates the concept of movement toward equilibrium. - Chemical pollution model exercises
Exercises on solving dynamical systems for chemical pollution in a lake to determine the movement toward equilibrium. - Chemical pollution model exercises answers
Answers to selected Exercises on solving dynamical systems for chemical pollution in a lake. - Spruce budworm outbreak model
A graphical analysis of a differential equation model reveals how the spruce budworm could devastate forests every 40 years. - Equilibria in discrete dynamical systems
An introduction to the concept of equilibria in discrete dynamical systems and how to calculate them. - The idea of stability of equilibria for discrete dynamical systems
An introduction to the concept of stable and unstable equilibria and how to use cobwebbing to identify stability. - A simple spiking neuron model
An introduction to the Fitzhugh Nagumo model of a spiking neuron, including basic phase plane analysis. - Initial dynamical systems exploration
Exploring models of anteater population growth and lead decay in the bloodstream using interactive applets. - Discrete dynamical systems as function iteration
The simplest versions of discrete dynamical systems can be viewed as evolving due to iterating a function repeatedly. - Solving linear discrete dynamical systems
One can solve a linear discrete dynamical system analytically. The result is an exponential function of the time step. - A graphical approach to finding equilibria of discrete dynamical systems
By plotting the updating function and the diagonal, one can read off the equilibria from their intersections of the two graphs. - The idea of a dynamical system
The basic concept of a dynamical system as the evolution of something over time. The fundamental ideas of the state space and temporal evolution rules are illustrated with examples featuring interactive graphics. - An introduction to discrete dynamical systems
Overview of discrete dynamical systems, focusing on the simplest one-dimensional case, where the dynamics are given by iterating a function. - Developing an initial model to describe bacteria growth
By analyzing some data and hypothesizing rules for cell division, we develop a discrete dynamical system for the growth of a population of bacteria. - Bacteria growth model exercises
Exercises on developing discrete dynamical systems for the growth of a population of bacteria. - Bacteria growth model exercise answers
Answers to selected exercises on developing discrete dynamical systems for the growth of a population of bacteria. - Discrete exponential growth and decay exercises
Exercises on solving problems involving exponential growth and decay in discrete time. - Discrete exponential growth and decay exercise answers
Answers to selected exercises on solving problems involving exponential growth and decay in discrete time.