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Transients versus network interactions give rise to multistability through trapping mechanism
Kalel L Rossi1, Everton S Medeiros2, Peter Ashwin3
1Theoretical Physics/Complex Systems, ICBM, Carl von Ossietzky Universität Oldenburg, Oldenburg, Lower Saxony, Germany.
Chaos (Woodbury, N.Y.)
|March 14, 2025
Summary
Networked systems can exhibit multistability due to interactions between subsystems. This study reveals that coupling mechanisms trap excitable units, leading to diverse oscillations like periodic, quasi-periodic, and chaotic behaviors.
Area of Science:
- Complex Systems
- Nonlinear Dynamics
- Network Science
Background:
- Multistability is observed in various networked systems.
- The precise mechanisms generating multistability from subsystem dynamics and network interactions are not fully understood.
Purpose of the Study:
- To elucidate the mechanisms underlying multistability in networks of coupled excitable units.
- To identify the key factors responsible for the emergence of multiple stable states.
Main Methods:
- Investigated a network model of coupled excitable units.
- Analyzed the interplay between individual unit dynamics and diffusive coupling.
- Examined the role of transient dynamics and coupling in generating multistability.
Main Results:
- Demonstrated that diffusive coupling reinjects units into their excitability region, creating a trapping mechanism.
- Showcased the emergence of multiple coexisting oscillation types: periodic, quasi-periodic, and chaotic.
- Observed that these oscillations arise even when individual units do not oscillate autonomously.
Conclusions:
- The interplay between transient dynamics and coupling is crucial for generating multistability in excitable networks.
- A key mechanism involves coupling-induced reinjection and trapping within the excitability region.
- This trapping mechanism facilitates the coexistence of diverse oscillatory behaviors, including chaos, through various bifurcations.
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