Phase Plane Analysis

Related lectures (31)

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Covers dynamic systems, trajectories, growth models, stability of fixed points, and linearization of models.

Explores fixed point stability, Lyapunov functions, Lotka-Volterra models, and nonlinear dynamics in complex systems.

Covers the formalism and bases of dynamic systems, including differential equations and non-linear systems.

Covers the introduction to Quantum Chaos, classical chaos, sensitivity to initial conditions, ergodicity, and Lyapunov exponents.

Covers small scale stability conditions and asymptotic behavior around fixed points.

Explores nonlinear systems through phase portraits in 2D, focusing on vector fields, isoclines, and trajectories.

Covers non-linear systems in 2D, focusing on predator-prey models and stability analysis of fixed points.

Explores periodic orbits in Hamiltonian systems and their stability under various conditions.

Covers dynamic systems in biology, including trajectories, stability, and qualitative analysis.

Covers the construction of a genetic toggle switch in Escherichia coli, a key example of synthetic biology.