Generalized Analytical Solutions and Synchronization Dynamics of Coupled Simple Nonlinear Electronic Circuits

  title={Generalized Analytical Solutions and Synchronization Dynamics of Coupled Simple Nonlinear Electronic Circuits},
  author={G. Sivaganesh and A. Arulgnanam},
In this paper we present a generalized analytical solution to the generalized state equations of coupled second-order non-autonomous circuit systems. The analytical solutions thus obtained are used to study the synchronization dynamics of two different types of circuit systems, differing only by their constituting nonlinear element. The synchronization dynamics of the coupled systems are studied through two-parameter bifurcation diagrams, phase portraits and time-series plots obtained from the… 
4 Citations

Figures and Tables from this paper

A complete analytical study on the dynamics of simple chaotic systems

We report, in this paper, a complete analytical study on the bifurcations and chaotic phenomena observed in certain second-order, non-autonomous, dissipative chaotic systems. One-parameter

Analytical studies on the dynamics of higher-dimensional nonlinear circuit systems

Explicit analytical solutions of higher-dimensional chaotic and hyperchaotic systems are areas of research to be much explored. Till now, the dynamics of higher-dimensional systems and the




Course Description: This course is designed to provide a basic introduction to some of the major philosophical traditions of China, India, and Japan. In this introduction, we will read a variety of

Chaos in Nonlinear Oscillators: Controlling and Synchronization

Duffing oscillator - bifurcation and chaos, analytic approaches chaotic dynamics of Bonhoeffer-Van der Pol (BVP) and Duffing-Van der POL (DVP) oscillators chaotic oscillators with Chua's diode


  • Sys. 31, 1055
  • 1984

Chaos 7

  • 520
  • 1997

Chaos 26

  • 043111
  • 2016

Ljupco Kocarev

  • Kevin Eckert and Makoto Itoh, Int. J. Bif. Chaos 2, 705
  • 1992

Frequenz 46

  • 66
  • 1992

Pramana 86

  • 1195
  • 2016

Nonlinear Dynamics: Integrability

  • Chaos and Patterns 22
  • 2003

(a) Schematic circuit realization of the sinusoidally forced parallel LCR circuit with the nonlinear element N R connected parallel to the capacitor