Stability of Dynamical Systems Through Linearization - Pitfalls and Traps

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In this tutorial, we explain how to analyze the stability of nonlinear systems by linearizing the dynamics. The idea is to linearize the nonlinear dynamics and then to analyse the stability of the nonlinear system We explain the main pitfalls and explain why this procedure might fail in some cases. That is, you cannot always linearize dynamical systems and expect that you can analyze the stability of the original system by analyzing the stability of a linearized system.

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It takes a significant amount of time and energy to create these free video tutorials. You can support my efforts in this way:
- Buy me a Coffee: www.buymeacoffee.com/AleksandarHaber
- PayPal: www.paypal.me/AleksandarHaber
- Patreon: www.patreon.com/user?u=32080176&fan_landing=true
- You Can also press the Thanks UA-cam Dollar button