A number of other models are introduced as well, but their use is localized or confined primarily to exercises or to projects.
The one exception to local use is RLC circuit equations, which are analyzed in separate sections as indicated in table 2. These analyses parallel those for the two mechanical oscillators--spring-mass systems and the linearized pendulum. RLC models included for those who want to emphasize electrical models, but they can be omitted entirely without difficulty.
| 3cOther Models | ||
|---|---|---|
| Introduced | ||
| 1l|Model | in section | Used in sections |
| 1l|Circuits | ||
| RC circuits | 2.5, exercises 3-6 | |
| RLC circuits | 5.3 | 6.5.3, 6.7.2; 7.3 |
| van der Pol | 6.10, project 3; 7.3 | 7.3 |
| 1l|Various first-order | ||
| Radioactive decay | 2.5, exercises 1-2, 11 | |
| Mixing | 3.4, exercise 3 | |
| Continuous compound interest | 2.5, exercise 14 | |
| Other single-species | 2.5, exercises 15, 19 | |
| populations | 3.5, project 6 | |
| Chemical, biological reactions | 2.5, exercises 8, 13 | |
| Logistic map | 3.5, project 3 | |
| Time-delayed logistic | 10.7, project 2 | |
| 1l|Nonlinear oscillators | ||
| Nonlinear springs | 5.5, projects 1-2 | |
| van der Pol | 6.10, project 3; 7.3 | 7.3 |
| 1l|Various systems | ||
| Autocatalytic reactions | 7.5, project 1 | |
| Other predator-prey | 7.5, project 2 | |
| Chemostat | 8.6, project 4 |