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Bound Pulse Trains in Arrays of Coupled Spatially Extended Dynamical Systems
D Puzyrev1, A G Vladimirov2,3, A Pimenov2
1Institute of Mathematics, Technische Universität Berlin, Strasse des 17. Juni 136, D-10623 Berlin, Germany.
Physical Review Letters
|November 4, 2017
Summary
Coupled systems can form pulse clusters, unlike solitary systems. Pulse spacing in these clusters depends on coupling phase, offering new dynamics in pulse generation.
Area of Science:
- Nonlinear dynamics
- Complex systems
- Optics and photonics
Background:
- Solitary systems generate equidistant pulses.
- Coupled systems exhibit complex behaviors.
- Previous studies on pulse bound states exist in various fields.
Purpose of the Study:
- To investigate the dynamics of coupled spatially distributed systems.
- To demonstrate the formation of pulse clusters in such arrays.
- To develop an analytical description for the observed phenomenon.
Main Methods:
- Studying arrays of nearest-neighbor coupled systems.
- Analyzing pulse dynamics and inter-pulse distances.
- Direct numerical simulations of coupled mode-locked lasers.
- Developing a simplified analytical model.
Main Results:
- Coupled systems form pulse clusters, not equidistant pulses.
- Inter-pulse distances within clusters are determined by coupling phase.
- This behavior differs from previously reported pulse bound states.
- Analytical model shows good agreement with numerical simulations.
Conclusions:
- Coupled systems exhibit novel cluster formation dynamics.
- The coupling phase is critical in controlling pulse spacing.
- The findings offer a new perspective on pulse dynamics in coupled systems.
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