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Updated: Feb 9, 2026

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Published on: May 11, 2020
Mind-to-mind heteroclinic coordination: Model of sequential episodic memory initiation.
V S Afraimovich1, M A Zaks2, M I Rabinovich3
1Instituto de Investigación en Comunicación Óptica, Universidad Autónoma de San Luis Potosí, 78220 San Luis Potosí, Mexico.
This study models how groups form shared episodic memories. It reveals a stable dynamical process, a nonsmooth heteroclinic torus, enabling memory formation and modification through coupled neural activity.
Area of Science:
- Cognitive Neuroscience
- Dynamical Systems Theory
- Computational Psychiatry
Background:
- Episodic memory retrieval is a complex dynamical process within large-scale brain networks.
- In social groups, shared experiences lead to encoded, recalled, and shared neural patterns among participants.
Purpose of the Study:
- To construct and analyze a dynamical model for the formation and maintenance of episodic memory in interacting individuals.
- To investigate the stability and characteristics of the underlying neural dynamics.
Main Methods:
- Development of a dynamical model for episodic memory in small ensembles of interacting minds.
- Analysis of the model using Lotka-Volterra-like equations to identify attractors.
- Characterization of dynamics using length-related Lyapunov exponents.
Main Results:
- Identification of a structurally stable, unconventional dynamical attractor: a nonsmooth heteroclinic torus.
- Demonstration that dynamics on this torus exhibit an absence of chaos but asymptotic instability of individual trajectories.
- Observation of sequential switching between metastable states, dependent on coupling strength, interpreted as memory formation stages.
Conclusions:
- The nonsmooth heteroclinic torus provides a robust mechanism for the formation and modification of shared episodic memories in social groups.
- Coupling strength critically influences the dynamics, leading to distinct phases of memory development.
- This model offers insights into the collective neural processes underlying social memory.
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