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.

Document Details

Document Type
Pub Defense Publication
Publication Date
Jan 04, 2013
Source ID
10.1063/1.4772970

Entities

People

  • Hien Dao
  • John C. Rodgers
  • Thomas E Murphy

Organizations

  • Office of Naval Research
  • University of Maryland

Tags

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Operations Research
  • Wave Propagation and Nonlinear Chaotic Dynamics.