Ordinary Differential Equations and Mechanical Systems
This book applies a step-by-step treatment of the current state-of-the-art of ordinary differential equations used in modeling of engineering systems/processes and beyond. It covers systematically ordered problems, beginning with first and second order ODEs, linear and higher-order ODEs of polynomia...
| Main Author: | |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
Cham
Springer International Publishing
2014, 2014
|
| Edition: | 1st ed. 2014 |
| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- 1. Introduction
- 2. First order ODEs
- 3. Second order ODEs
- 4. Linear ODEs
- 5. Higher-order ODEs polynomial form
- 6. Systems
- 7. Theory and criteria of similarity
- 8. Model and modeling
- 9. Phase plane and phase space
- 10. Stability
- 11. Modeling via perturbation methods
- 12. Continualization and discretization
- 13. Bifurcations
- 14. Optimization of systems
- 15. Chaos and synchronization