Ch. 8 Synaptic Plasticity 8. 5 ~ 8

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Presentation transcript:

Ch. 8 Synaptic Plasticity 8. 5 ~ 8 Ch. 8 Synaptic Plasticity 8.5 ~ 8.6 in Adaptive Cooperative Systems by Martine Beckerman, 1997 ’09 7.20 B.-W. Ku

8.5 Liouville’s Theorem

8.5.1 Hamilton’s Equations Energty-conserving systems

8.5.2. Liouville’s Theorem of Volume Conservation For hamiltonian, energy-conserving systems, the volume occupied by a collection of phase space points remains constant in time. For a dissipative system there is an overall contraction of the volume in phase space as the system evolves toward its attractor.

8.5.3 Intitial Conditions

8.6 BCM Theory: Single-Cell Formulation

8.6.1 The Linear Integrator

8.6.2 Rule for Synaptic Modification

8.6.4 Stability of the Fixed Points