Nonlinear Dynamics and Chaos

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Related lectures (31)

Page 3 of 4

Stability Analysis: Linear Systems

Explores stability analysis in linear systems, emphasizing eigenvalues, eigenvectors, and stable manifolds.

Fractional Response

Explores linear response in dynamical systems, emphasizing fractional derivatives and expanding unimodal maps.

Weakly Nonlinear Approach: Bifurcations and Amplitude Equations

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

Stellar Orbits: Stability and Resonances

Explores the stability of orbits, effective potential shape, and resonances in stellar dynamics.

Dynamical Systems: Equilibrium Points and Stability

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

Nonlinear Dynamics and Complex Systems

Covers chaotic behavior in complex systems, with applications in various fields and a historical overview of major developments in chaos theory.

Architecture: Bifurcation and Contemporary Challenges

Explores Bruther's architectural projects, focusing on balancing abstraction and function, creating improbable situations, and addressing contemporary challenges.

Bifurcations: Fold Bifurcation

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

Weakly Nonlinear Analysis: Multiple Time Scale Expansion

Explores weakly nonlinear analysis through multiple time scale expansion, emphasizing the period of a gravitational pendulum and non-resonance conditions.

Fluid Dynamics: Instabilities and Turbulence

Covers fluid dynamics instabilities, turbulence, stability of airplanes, and key concepts.