Transcritical Bifurcation in Dynamical Systems

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Covers trajectory, solution, and orbit of dynamical systems for engineers.

Covers the theoretical basis of linear and nonlinear dynamical systems for engineers.

Explores small scale stability in gradient systems, analyzing trajectories and attractors in phase space.

Covers the introduction to bifurcations in dynamical systems, including examples and theorems.

Covers Lyapunov exponents, chaos measurement, and perturbation analysis in dynamical systems.

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

Covers the topic of bifurcations in dynamical system theory, focusing on the pitchfork bifurcation.

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

Explores transcritical bifurcation in SIS epidemics, analyzing mathematical equations and system dynamics.

Explores sparse learning of chemical reaction networks from trajectory data using data-based methods and learning approaches.