Experimental realization of strange nonchaotic attractors in a quasiperiodically forced electronic circuit

Abstract

We have identified the three prominent routes, namely Heagy-Hammel, fractalization and intermittency routes, and their mechanisms for the birth of strange nonchaotic attractors (SNAs) in a quasiperiodically forced electronic system constructed using a negative conductance series LCR circuit with a diode both numerically and experimentally. The birth of SNAs by these three routes is verified from both experimental and their corresponding numerical data by maximal Lyapunov exponents, and their variance, Poincaré maps, Fourier amplitude spectrum, spectral distribution function and finite-time Lyapunov exponents. Although these three routes have been identified numerically in different dynamical systems, the experimental observation of all these mechanisms is reported for the first time to our knowledge and that too in a single second order electronic circuit.

21 figures

References in corpus (10)

• Fractalization of Torus Revisited as a Strange Nonchaotic Attractor
• Intermittency Route to Strange Nonchaotic Attractors
• Strange Nonchaotic Attractors in the Quasiperiodically forced Logistic Map
• Intermittency transitions to strange nonchaotic attractors in a quasiperiodically driven Duffing oscillator
• Synchronization of Strange Nonchaotic Attractors
• Collision and symmetry-breaking in the transition to strange nonchaotic attractors
• Fractal Properties of Robust Strange Nonchaotic Attractors in Maps of Two or More Dimensions
• Mechanism for the Intermittent Route to Strange Nonchaotic Attractors
• Interruption of torus doubling bifurcation and genesis of strange nonchaotic attractors in a quasiperiodically forced map : Mechanisms and their characterizations
• Different routes to chaos via strange nonchaotic attractor in a quasiperiodically forced system

Cited by in corpus (9)

• Applicability of 0-1 Test for Strange Nonchaotic Attractors
• Bifurcations and strange nonchaotic attractors in a phase oscillator model of glacial-interglacial cycles
• Bubbling route to strange nonchaotic attractor in a nonlinear series LCR circuit with a nonsinusoidal force
• Strange nonchaotic attractors for computation
• Computation of the spectrum of spatial Lyapunov exponents for the spatially extended beam-plasma systems and electron-wave devices
• Design and implementation of dynamic logic gates and R-S flip-flop using quasiperiodically driven Murali-Lakshmanan-Chua circuit
• Route to logical strange nonchaotic attractors with single periodic force and noise
• An Analytical Study on the Synchronization of Strange Non-Chaotic Attractors
• Strange Nonchaotic Oscillations in The Quasiperiodically Forced Hodgkin-Huxley Neuron