Low-dimensional dynamics of phase oscillators driven by Cauchy noise
Takuma Tanaka
Abstract
Phase oscillator systems with global sine coupling are known to exhibit low-dimensional dynamics. In this paper, such characteristics are extended to phase oscillator systems driven by Cauchy noise. The low-dimensional dynamics solution agreed well with the numerical simulations of noise-driven phase oscillators in the present study. The low-dimensional dynamics of identical oscillators with Cauchy noise coincided with those of heterogeneous oscillators with Cauchy-distributed natural frequencies. This allows for the study of noise-driven identical oscillator systems through heterogeneous oscillators without noise and vice versa.
Topics & Concepts
Phase noiseOscillator phase noiseNoise (video)Cauchy distributionPhase (matter)Control theory (sociology)PhysicsCoupling (piping)MathematicsStatistical physicsMathematical analysisComputer scienceQuantum mechanicsEngineeringOpticsNoise figureArtificial intelligenceCMOSMechanical engineeringImage (mathematics)Control (management)AmplifierOptoelectronicsNonlinear Dynamics and Pattern FormationChaos control and synchronizationMechanical and Optical Resonators