Sequential memory: Binding dynamics
Valentin Afraimovich1, Xue Gong2, Mikhail Rabinovich3
1IICO-UASLP, Karakorum 1470, Lomas 4a, San Luis Potosi, SLP 78210, Mexico.
Chaos (Woodbury, N.Y.)
|November 2, 2015
Summary
Sequential memory relies on binding event features and maintaining order. This study proves the robustness of these binding dynamics, showing they reliably follow specific sequences for reliable memory function.
Area of Science:
- Neuroscience
- Cognitive Science
- Mathematical Biology
Background:
- Temporal order memories are crucial for daily functioning in humans and animals.
- Sequential memory involves binding event features and maintaining event order.
- Existing models explore sequential memory dynamics.
Purpose of the Study:
- To investigate the robustness of sequential memory binding dynamics.
- To analyze the feasibility of maintaining specific sequential memory trajectories.
- To understand the mathematical underpinnings of sequential memory.
Main Methods:
- Utilized a previously developed model based on generalized Lotka-Volterra equations.
- Analyzed the phase space of the model, identifying a binding heteroclinic network.
- Proved the robustness of binding sequential dynamics using concepts of coupled heteroclinic networks.
Main Results:
- Demonstrated a multi-dimensional binding heteroclinic network with saddle equilibrium points and connecting trajectories.
- Proved the feasibility phenomenon: specific sequences of trajectories are reliably followed from open sets of initial conditions.
- Showed that the symbolic complexity within these trajectories is polynomial, dependent on the number of modalities (L).
Conclusions:
- The binding dynamics of sequential memories are robust and reliable.
- The mathematical framework supports the stability and predictability of memory sequences.
- This robustness is essential for various memory types, including episodic, semantic, and working memory.
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