Extremely simple hyperchaos generators including one diode

Hyperchaos is usually defined as a chaotic attractor with more than one positive Lyapunov exponent. Two extremely simple hyperchaos generators including one diode are analyzed. For the case where the diodes are regarded as ideal switches, the two-dimensional Poincare map can be derived rigorously and its Lyapunov exponents can be calculated by using piecewise exact solutions. It is confirmed that the resonant frequencies governing the diode are deeply related with the generation of hyperchaos.<
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