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1 1999

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On the new scenario of annihilation of the Cross-Well chaotic attractor in a nonlinear oscillator

Szemplińska W., Zubrzycki A., Tyrkiel E.

Journal of Technical Physics

1999

Vol. 40, no 2

163-173

The twin-well potential Duffing oscillator is considered and the investigations are focused on a new scenario of destruction of the cross-well chaotic attractor. The new phenomenon belongs to the category of subduction bifurcation and consists in replacement of the cross-well chaotic attractor by a pair of unsymmetric 2T-periodic attractors. It is shown that the new scenario forms a transition zone in the system control parameter plane, the zone, which separates the two known scenarios of annihilation of the cross-well chaotic attractor: the boundary crisis, and the subduction in which the two single-well T-periodic attractors are born in a saddle-node bifurcation.