Pages similar to: Using cobwebbing as a graphical solution technique for discrete dynamical systems
- 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. - 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. - 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. - 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. - Constructing a mathematical model for penicillin clearance
We give a word model for how penicillin should be cleared from the blood and allow you to construct a mathematical model to fit some data. - Penicillin clearance model exercises
Exercises and developing discrete dynamical system models for the clearance of penicillin from the blood. - Penicillin clearance model exercise answers
Answers to selected exercises on developing discrete dynamical systems for the clearance of penicillin. - 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. - Elementary discrete dynamical systems problems
Sample problems illustrating discrete dynamical systems. - Elementary discrete dynamical systems biology problems
Sample problems illustrating discrete dynamical systems in the context of biology. - Solutions to elementary discrete dynamical systems problems
Solutions to sample problems illustrating discrete dynamical systems. - Solutions to elementary discrete dynamical systems biology problems
Solutions to sample problems illustrating discrete dynamical systems in the context of biology. - Determining stability by cobwebbing linear approximations around equilibria
By cobwebbing the linear approximation to a discrete dynamical around an equilibrium, one can determine a criterion for the stability of the equilibrium.