Transcritical Bifurcations | Nonlinear Dynamics and Chaos @FacultyofKhan
Transcritical Bifurcations | Nonlinear Dynamics and Chaos  @FacultyofKhan
Uploaded September 2019 | Updated September 2026, 2 weeks ago
This video is about transcritical bifurcations, and is a continuation to the Bifurcations videos in my Nonlinear Dynamics series.

Transcritical bifurcations are bifurcations in which varying a parameter causes two fixed points to fuse and become a half-stable fixed point, after which they switch stability. I also solve an example of a transcritical bifurcation, which ultimately reduces to its normal form.

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Pre-reqs: The videos before this one on this playlist: youtube.com/playlist?list=PLdgVBOaXkb9C8iPDD5xW0jT-c3dtP4TR5
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Transcritical Bifurcations | Nonlinear Dynamics and ChaosHermite Differential Equation and Hermite PolynomialsSolving the Heat Equation with Convection | Partial Differential EquationsIntroducing 2-dimensional Dynamical Systems | Nonlinear DynamicsComputing Definite Integrals using the Residue TheoremThe Catenary Problem and SolutionReal Analysis: Introduction to FunctionsEuler-Lagrange Equation: Constraints and Multiple Dependent VariablesLegendres ODE II: Deriving a formula for Legendre PolynomialsComplex Integrals and Cauchys Integral Theorem.Spacetime Embedding Diagrams: Flamms Paraboloid | General RelativityThe Generalized Uncertainty Principle | Proof/Derivation
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Transcritical Bifurcations | Nonlinear Dynamics and Chaos

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