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Updated: Jun 14, 2026
06:44
Age-dependent Dynamics of Locomotion in Caenorhabditis elegans: A Lyapunov Exponent Analysis
Published on: September 23, 2025
Globally coupled chaotic maps and demographic stochasticity
David A Kessler1, Nadav M Shnerb
1Department of Physics, Bar-Ilan University, Ramat-Gan 52900, Israel. kessler@dave.ph.biu.ac.il
Summary
Adding noise to chaotic maps significantly alters system behavior, revealing optimal migration levels for habitat conservation and species survival. This research explores stochastic dynamics and extinction in coupled systems.
Area of Science:
- Complex Systems
- Ecology
- Mathematical Biology
Background:
- Globally coupled chaotic maps exhibit complex dynamics.
- Demographic stochasticity introduces noise and extinction risk.
- Habitat fragmentation poses challenges for species conservation.
Purpose of the Study:
- To investigate the impact of noise on globally coupled chaotic maps.
- To identify optimal migration strategies for species conservation in fragmented habitats.
- To analyze the emergence of quasideterministic dynamics from stochastic systems.
Main Methods:
- A two-step model incorporating intrapatch chaotic dynamics and global migration.
- Introduction of demographic stochasticity (noise) into the chaotic system.
- Analysis of the system's behavior in the large N limit (quasideterministic dynamics).
Main Results:
- Noise dramatically alters the behavior of the chaotic map system.
- Maximal system sustainability is achieved at a specific migration level.
- The clustering phase reveals how deterministic solutions emerge from a single stochastic steady state.
Conclusions:
- Noise is a critical factor influencing the dynamics of coupled chaotic systems.
- Understanding optimal migration is key for effective conservation in fragmented landscapes.
- Stochasticity can lead to complex emergent behaviors, including quasideterministic dynamics.
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