VAN DER POL OSCILLATORS COUPLED BY PIECEWISE-LINEAR NEGATIVE RESISTOR- ASYNCHRONOUS OSCILLATIONS BY SELF-MODULATION EFFECT

In this study, we investigate two oscillators which have the same natu ral frequency, mutually coupled by ''N''-type piecewise-linear negativ e resistor. In this system, according to the negative range of the cou pling negative resistor, the various interesting synchronization pheno mena which are in-phase, opposite phase and doublemode-like oscillatio ns are observed. Especially, we show doublemode-like oscillations that are not observed until now in mutually coupled van der Pol oscillator s with the smooth cubic characteristics, although the ones with same n atural frequencies are coupled. And we show the differences of the phe nomena between two oscillators coupled by the smooth cubic negative re sistor and the ones coupled by the piecewise-linear negative resistor.