Edge state and crisis in the Pierce diode

Journal Article · Sat Sep 15 00:00:00 EDT 2012 · Chaos (Woodbury, N. Y.)

DOI:https://doi.org/10.1063/1.4736860· OSTI ID:22093714

Munoz, Pablo R.; Rempel, Erico L. ^[1]; Barroso, Joaquim J. ^[2]; Chian, Abraham C.-L. ^[2]

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1. Institute of Aeronautical Technology (ITA) and World Institute for Space Environment Research (WISER), CTA/ITA/IEFM, Sao Jose dos Campos-SP 12228-900 (Brazil)
2. National Institute for Space Research (INPE) and World Institute for Space Environment Research (WISER), P. O. Box 515, Sao Jose dos Campos-SP 12227-010 (Brazil)

We study the chaotic dynamics of the Pierce diode, a simple spatially extended system for collisionless bounded plasmas, focusing on the concept of edge of chaos, the boundary that separates transient from asymptotic dynamics. We fully characterize an interior crisis at the end of a periodic window, thereby showing direct evidence of the collision between a chaotic attractor, a chaotic saddle, and the edge of chaos, formed by a period-3 unstable periodic orbit and its stable manifold. The edge of chaos persists after the interior crisis, when the global attractor of the system increases its size in the phase space.

• OSTI ID: 22093714
• Journal Information: Chaos (Woodbury, N. Y.), Vol. 22, Issue 3; Other Information: (c) 2012 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 1054-1500
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ASYMPTOTIC SOLUTIONS
ATTRACTORS
BOUNDARY LAYERS
CHAOS THEORY
COLLISIONS
ORBITS
PERIODICITY
PHASE SPACE
PLASMA
SIMULATION
THERMIONIC DIODES