Transcritical Bifurcations: Understanding Dynamical Systems

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Explores flip and Andronov-Hopf bifurcations, showing how systems change equilibrium points and stability.

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

Delves into homoclinic orbits, bifurcations, and limit cycles in nonlinear dynamics.

Explores nonlinear dynamics, bifurcations, stability, weakly nonlinear systems, saturation, Hopf bifurcation, and global stability analysis.

Covers the concept of fold bifurcation in dynamical systems, focusing on the saddle-mode behavior.

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

Covers integrals of motion and surfaces of section in stellar dynamics.

Covers dynamical systems, equilibrium points, stability analysis, and phase plots using examples like the pendulum system.

Explores attractors and their stability in dynamical systems, including fixed points, periodic orbits, and chaotic attractors.

Explores weakly nonlinear approach, bifurcations, amplitude equations, critical slowing, and nonlinearities in dynamical systems.