We demonstrate a method for controlling strong chaos by an aperiodic perturbation in two-dimensionalHamiltonian systems. The method has the advantages that the controlled system remains conservative property and these...We demonstrate a method for controlling strong chaos by an aperiodic perturbation in two-dimensionalHamiltonian systems. The method has the advantages that the controlled system remains conservative property and theselection of the perturbation has a considerable diversity. We illustrate this method with two area preserving maps: thenon-monotonic twist map which is a mixed system and the perturbed cat map which exhibits hard chaos. Numericalresults show that the strong chaos can be effectively controlled into regular motions, and the final states are alwaysquasiperiodic ones. The method is robust against the presence of weak external noise.展开更多
By means of theory of toplogical degree in nonlinear functional analysis combining with qualitative analysis method in ordinary differential equations, we discuss the existence of nontrivial periodic orbits for higher...By means of theory of toplogical degree in nonlinear functional analysis combining with qualitative analysis method in ordinary differential equations, we discuss the existence of nontrivial periodic orbits for higher dimensional autonomous system with small perturbations.展开更多
基金国家自然科学基金，Science Foundation of China Academy of Engineering Physics under Grant
文摘We demonstrate a method for controlling strong chaos by an aperiodic perturbation in two-dimensionalHamiltonian systems. The method has the advantages that the controlled system remains conservative property and theselection of the perturbation has a considerable diversity. We illustrate this method with two area preserving maps: thenon-monotonic twist map which is a mixed system and the perturbed cat map which exhibits hard chaos. Numericalresults show that the strong chaos can be effectively controlled into regular motions, and the final states are alwaysquasiperiodic ones. The method is robust against the presence of weak external noise.
文摘By means of theory of toplogical degree in nonlinear functional analysis combining with qualitative analysis method in ordinary differential equations, we discuss the existence of nontrivial periodic orbits for higher dimensional autonomous system with small perturbations.
