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Updated: May 21, 2026
10:29
Morphological and Functional Evaluation of Axons and their Synapses during Axon Death in Drosophila melanogaster
Published on: March 16, 2020
Amplitude death in complex networks induced by environment
V Resmi1, G Ambika, R E Amritkar
1Indian Institute of Science Education and Research, Pune 411021, India. v.resmi@gmail.com
Summary
We discovered a way to achieve amplitude death in coupled nonlinear systems. A universal relationship was found between coupling strength and network properties, applicable to any network structure.
Area of Science:
- Nonlinear dynamics
- Complex networks
- Systems theory
Background:
- Coupled nonlinear dynamical systems can exhibit complex behaviors.
- Interactions within a common environment can influence system dynamics.
- Amplitude death is a phenomenon where oscillations cease.
Purpose of the Study:
- To present a general mechanism for amplitude death in coupled nonlinear systems.
- To develop a stability analysis applicable to any network topology.
- To identify critical parameters for the onset of amplitude death.
Main Methods:
- General stability analysis for coupled nonlinear systems.
- Analysis of systems on complex networks with common environmental interactions.
- Numerical simulations on various network topologies.
Main Results:
- A general stability analysis for amplitude death was developed.
- Threshold values for coupling constants were obtained.
- A universal relation between critical coupling strength and the largest nonzero eigenvalue of the coupling matrix was established.
Conclusions:
- The study provides a robust framework for understanding amplitude death in complex networks.
- The findings are universally applicable across different network topologies.
- The universal relation offers a predictive tool for controlling system dynamics.
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