Institute for Computational Neuroscience

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Seminars on The Period-Doubling Transition to Chaos

1. Introduction & Period-Doubling Model System - E.-S. Lee (Jan. 5, 2002). [ PPT ]

2. Stability and Bifurcation in The 1D Map

   2.1 Stability analysis of a periodic orbit (include the Newton's method) - E.-S. Lee (Jan. 12, 2002). [ PPT ]

   2.2 Bifurcaton of a periodic orbit - K.-I. Jang(Jan. 19, 2002) [ PPT ]

    2.3 Lyapunov exponent - E.-S. Lee (Jan. 19, 2002). [ PPT ]

3. Period-doubling Route to chaos - K.-I. Jang (Jan. 26, 2002) [ PPT ]

4. Critical Scaling Behavior near The Accumulation Point

   4.1 Investigation of scaling behavior through a direct numerical method - E.-S. Lee (Jan. 26, 2002) [ PPT ]

    4.2 Confirmation of the parameter and orbital scaling - E.-S. Lee (Feb. 2, 2002) [ PPT ]

5. Intermittency in The 1D Map - E.-S. Lee (Feb. 9, 2002) [ PPT ]

6. Interior Crisis in The 1D Map - E.-S. Lee (Feb. 16, 2002) [ PPT ]

7. Boundary Crisis in The 1D Map - E.-S. Lee (Feb. 23, 2002) [ PPT ]

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