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Covers the introduction to Quantum Chaos, classical chaos, sensitivity to initial conditions, ergodicity, and Lyapunov exponents.
Provides an overview of the generalized Kuramoto model, including natural frequencies, all-to-all coupling, bifurcation diagrams, and diffusion systems.
Explores bistability in gene regulation, analyzing fixed points, bifurcation diagrams, and hysteresis behavior in gene expression.
Explores fundamental solutions in partial differential equations, highlighting their significance in mathematical applications.
Explores attractors and their stability in dynamical systems, including fixed points, periodic orbits, and chaotic attractors.
Covers thermal expansion, conductivity, and diffusion in materials, explaining how temperature affects properties and heat transfer.
