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Journal article
Synchronization of Coupled Limit Cycles
Journal of nonlinear science, v 21(3), pp 441-464
2011
Abstract
A unified approach to the analysis of synchronization in coupled systems of autonomous differential equations is presented in this work. Through a careful analysis of the variational equation of the coupled system we establish a sufficient condition for synchronization in terms of the geometric properties of the local limit cycles and the coupling operator. This result applies to a large class of differential equation models in physics and biology. The stability analysis is complemented by a discussion of numerical simulations of a compartmental model of a neuron.
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Details
- Title
- Synchronization of Coupled Limit Cycles
- Creators
- Georgi S. Medvedev - Drexel University
- Publication Details
- Journal of nonlinear science, v 21(3), pp 441-464
- Publisher
- Springer-Verlag
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000293410800004
- Scopus ID
- 2-s2.0-80053385555
- Other Identifier
- 991019170351304721
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Web of Science research areas
- Mathematics, Applied
- Mechanics
- Physics, Mathematical