Non-linear Systems in 2D: Predator-Prey Models

Related lectures (31)

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

Covers inference problems related to the Spin Glass Game and the challenges of making mistakes with preb P.

Introduces dynamical systems, equilibrium points, stability, vector fields, phase plots, and Lyapunov stability.

Explores growth rates in GDP per capita and the IPAT equation for analyzing environmental impact.

Explores the dynamics of predator-prey populations using the Lotka-Volterra model in real-world scenarios.

Explores Q(m) as a population behavior indicator and its implications.

Covers phase portraits, eigenvalue decomposition, Jordan decomposition, and stable nodes in non-linear systems.

Explores the Kuramoto model for synchronization in phase oscillators and discusses stability criteria and critical coupling values.

Explores logistic maps, bifurcations, equilibrium points, and periodic orbits in nonlinear dynamics and chaos.

Covers the Phase Plane Analysis of 2-dimensional neuron models, focusing on nullclines and fixed points.

Explores the stability of periodic solutions in continuous-time systems using the logistic map and the van der Pol oscillator.

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