The Pierce diode with an external circuit. II. Chaotic behavior

Journal Article · Sat Jul 01 04:00:00 EDT 1989 · Phys Fluids B; (United States)

DOI:https://doi.org/10.1063/1.859199· OSTI ID:6140980

Lawson, W S

The existence of the strange attractor discovered by Godfrey (Phys. Fluids/bold 30/, 1553 (1987)) in the neighborhood of ..cap alpha..=3..pi.. for the Pierce diode isverified, and his numerical results are refined. The theory of Feigenbaum forthe sequence of period-doubling bifurcations (J. Stat. Phys. /bold 19/, 25(1975)) is tested with good agreement, despite the strong assumptions made bythat theory. The evolution of this attractor is then followed as an externalcapacitance is introduced, producing a family of bifurcation diagrams.Examination of these diagrams produces one result that should be of interest tomathematical physicists: The existence of an unstable equilibrium in theneighborhood of the strange attractor is strongly implicated in both theexistence and destruction of the attractor. The reversibility of the equationsof evolution is also discussed, but no clear-cut conclusion is reached.

• Research Organization: Electronics Research Laboratory, University of California, Berkeley, California 94720(US)
• OSTI ID: 6140980
• Journal Information: Phys Fluids B; (United States), Journal Name: Phys Fluids B; (United States) Vol. 1:7; ISSN PFBPE
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420800 -- Engineering-- Electronic Circuits & Devices-- (-1989)
640410* -- Fluid Physics-- General Fluid Dynamics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CAPACITANCE
DATA
DIODE TUBES
ELECTRICAL PROPERTIES
ELECTRON TUBES
INFORMATION
INSTABILITY
MODIFICATIONS
NUMERICAL DATA
PHYSICAL PROPERTIES
PIERCE INSTABILITY
PLASMA
THERMIONIC DIODES
THERMIONIC TUBES