Edge state and crisis in the Pierce diode
Pablo R Muñoz1, Joaquim J Barroso, Abraham C-L Chian
1Institute of Aeronautical Technology (ITA) and World Institute for Space Environment Research (WISER), CTA/ITA/IEFM, São José dos Campos-SP 12228-900, Brazil. pablocus@gmail.com
Chaos (Woodbury, N.Y.)
|October 2, 2012
Summary
Researchers explored chaotic dynamics in Pierce diodes, identifying the "edge of chaos" boundary. They found evidence of a crisis where chaotic attractors and saddles collide with this edge, impacting plasma dynamics.
Area of Science:
- Plasma physics
- Nonlinear dynamics
- Chaos theory
Background:
- The Pierce diode is a fundamental system for studying collisionless bounded plasmas.
- Understanding the transition between transient and asymptotic dynamics is crucial in plasma physics.
- The concept of the 'edge of chaos' provides a framework for analyzing complex system behaviors.
Purpose of the Study:
- To investigate the chaotic dynamics of the Pierce diode.
- To characterize the 'edge of chaos' in this system.
- To provide evidence for the collision of attractors, saddles, and the edge of chaos.
Main Methods:
- Analysis of chaotic dynamics in a spatially extended system.
- Characterization of an interior crisis event.
- Identification of unstable periodic orbits and their stable manifolds.
Main Results:
- Full characterization of an interior crisis at the end of a periodic window.
- Direct evidence of the collision between a chaotic attractor, a chaotic saddle, and the edge of chaos.
- The edge of chaos persists after the interior crisis, with an increased global attractor size.
Conclusions:
- The study provides a detailed understanding of chaotic dynamics and bifurcations in the Pierce diode.
- The findings offer insights into the persistence and evolution of the edge of chaos after a crisis.
- This work contributes to the broader understanding of complex plasma behavior and nonlinear systems.
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