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

• Autorzy: Szemplińska W. , Zubrzycki A. , Tyrkiel E.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

PL

atraktor chaotyczny; oscylator nieliniowy atraktorowy; teoria chaosu

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Journal of Technical Physics
• Rocznik: 1999
• Tom: Vol. 40, no 2
• Strony: 163--173
• Opis fizyczny: Bibliogr. 17 poz.,

Twórcy

autor

Szemplińska W.

autor

Zubrzycki A.

autor

Tyrkiel E.

• Institute of Fundamental Technological Research, Świętokrzyska 21, 00-049 Warsaw, Poland