摘要
A system, which is a discontinuous and noninvertible concatenation of two area\|preserving maps, may display a dissipation showing linear time dipendence and is addressed as “quasi-dissipative”. Three quasi-dissipative systems are studied. They are: a model of an electronic relaxation oscillator with over-voltage protection, a kicked rotor subjected to a piecewise-continuous force field, and a similar rotor but with an oscillating discontinuity border. I the systems two unique features, named a period-doubling bifurcation cascade interrupted by a border-collision bifurcation, and some elliptic islands, which attract iterations outside, have been observed.
A system, which is a discontinuous and noninvertible concatenation of two area\|preserving maps, may display a dissipation showing linear time dipendence and is addressed as “quasi-dissipative”. Three quasi-dissipative systems are studied. They are: a model of an electronic relaxation oscillator with over-voltage protection, a kicked rotor subjected to a piecewise-continuous force field, and a similar rotor but with an oscillating discontinuity border. I the systems two unique features, named a period-doubling bifurcation cascade interrupted by a border-collision bifurcation, and some elliptic islands, which attract iterations outside, have been observed.
出处
《科学技术与工程》
2004年第5期344-346,351,共4页
Science Technology and Engineering
基金
国家自然科学基金 ( 19975 0 3 9
10 2 75 0 5 3 )资助
