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

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

2006-09-15

arxiv.org/abs/nlin/0609041v2

Physical Review E 70,036205 (2006)

Nonlinear Sciences

Chaotic Dynamics

21 figures

Scientific paper

10.1103/PhysRevE.74.036205

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, Poincar\'e 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.

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