Nonlinear Dynamics and Chaos by Steven Strogatz
The usual caveats: These solutions are not guaranteed to be correct. They are guaranteed to be incomplete. But I gave this book a shot, and here is what I accomplished.
All this work was done around new years 2019-2020.
Nonlinear Dynamics and Chaos: Section 2.1 –– A Geometric Way of Thinking
Nonlinear Dynamics and Chaos: Section 2.2 –– Fixed Points and Stability
Nonlinear Dynamics and Chaos: Section 2.3 –– Population Growth
Nonlinear Dynamics and Chaos: Section 2.4 –– Linear Stability Analysis
Nonlinear Dynamics and Chaos: Section 2.5 –– Existence and Uniqueness
Nonlinear Dynamics and Chaos: Section 2.6 –– Impossibility of Oscillations
Nonlinear Dynamics and Chaos: Section 2.7 –– Potentials
Nonlinear Dynamics and Chaos: Section 2.8 –– Solving Equations on the Computer
Nonlinear Dynamics and Chaos: Section 3.1 –– Saddle-Node Bifurcation
Nonlinear Dynamics and Chaos: Section 3.2 –– Transcritical Bifurcation
Nonlinear Dynamics and Chaos: Section 3.3 –– Laser Threshold
Nonlinear Dynamics and Chaos: Section 3.4 –– Pitchfork Bifurcation