Center Manifolds for Hamiltonian Systems and PDEs - Lorenz System Bifurcation, Part 2

Center Manifolds for Hamiltonian Systems and PDEs - Lorenz System Bifurcation, Part 2

Ross Dynamics Lab via YouTube Direct link

center manifold bifurcation analysis for the Lorenz system

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1 of 7

center manifold bifurcation analysis for the Lorenz system

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Center Manifolds for Hamiltonian Systems and PDEs - Lorenz System Bifurcation, Part 2

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  1. 1 center manifold bifurcation analysis for the Lorenz system
  2. 2 Inclusion of unstable directions
  3. 3 Example: saddle-center point of a Hamiltonian system
  4. 4 Symplectic Jordan canonical form
  5. 5 Center manifold theory for PDEs
  6. 6 a pitchfork bifurcation in a PDE
  7. 7 Center manifolds for stochastic systems, and other computational methods

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