title: Chaotic dynamics of a frequency-modulated microwave oscillator with time-delayed feedback.
abstract: We present a chaotic frequency-modulated microwave source that is governed by a simple, first-order nonlinear delay differential equation. When a sinusoidal nonlinearity is incorporated, the dynamical behaviors range from fixed-point to periodic to chaotic, depending on the feedback strength. When the sinusoidal nonlinearity is replaced by a binary nonlinearity, the system exhibits a complex periodic attractor with no fixed-point solution.
authors.affiliation: Institute for Research in Electronics and Applied Physics, University of Maryland, College Park, Maryland 20742, USA. lehiendao@gmail.com
authors.forename: Hien
authors.initials: H
authors.lastname: Dao
authors.forename: John C
authors.initials: JC
authors.lastname: Rodgers
authors.forename: Thomas E
authors.initials: TE
authors.lastname: Murphy
mesh_terms: D003198:Computer Simulation; D005246:Feedback; D017709:Fractals; D008872:Microwaves; D017711:Nonlinear Dynamics; D009716:Numerical Analysis, Computer-Assisted; D009991:Oscillometry; D010507:Periodicity; D012815:Signal Processing, Computer-Assisted; D013997:Time Factors