Weakly Nonlinear Analysis: Multiple Time Scale Expansion

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

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Explores the harmonic oscillator model, energy treatment, applications, and equations of motion.

Explores variable mass systems, accelerated frames, and forces in rotating frames.

Introduces equilibrium points and bifurcations in differential equations, discussing their stability and relevance in various contexts.

Covers Hopf bifurcations, pitchfork bifurcations, and the Lorenz system in nonlinear dynamics and chaos.

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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.