Regular Attractors in a Semi-Dissipative System
Xiaoming Shen
Abstract
Xiaoming Shen
Abstract
The thesis studies a semi-dissipative system which is an irreversible concatenation of a conservative map and a dissipative map.In such a semi-dissipative system,its dynamic behavior is determined by the mixed dissipative properties in a long time or large ranges.Our numerical calculation shows that the dynamic behavior of the system has the following two features: the coexistence of dissipative attractors and regular attractors;the mixed dissipative properties leading to the generation of dissipative attractors and regular attractors.
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The thesis studies a semi-dissipative system which is an irreversible concatenation of a conservative map and a dissipative map.In such a semi-dissipative system,its dynamic behavior is determined by the mixed dissipative properties in a long time or large ranges.Our numerical calculation shows that the dynamic behavior of the system has the following two features: the coexistence of dissipative attractors and regular attractors;the mixed dissipative properties leading to the generation of dissipative attractors and regular attractors.
Key concepts: Dissipative system, Attractor, Concatenation (mathematics), Dissipative operator, Dissipative soliton, Dissipative particle dynamics, Physics, Classical mechanics