An Analytical Study on the Quasiperiodic Route to Chaos in a Forced Negative Conductance Circuit

TL;DR

This paper provides an analytical investigation of how quasiperiodic behavior transitions to chaos in a specific forced negative conductance circuit, using explicit solutions and phase space analysis.

Contribution

It offers the first explicit analytical solution for the normalized state equations of this piecewise linear circuit, elucidating the quasiperiodic route to chaos.

Findings

Analytical solutions explain the quasiperiodic route to chaos.

Phase portraits and power spectra illustrate the transition.

The study enhances understanding of nonlinear dynamics in electrical circuits.

Abstract

The quasiperiodic route to chaos in a piecewise linear forced parallel LCR circuit with a negative conductance and diode is studied analytically. An explicit analytical solution for the normalized state equations of the piecewise linear circuit is presented explaining the quasiperiodic route to chaos through phase portraits and power spectrum.