期刊
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
卷 27, 期 11, 页码 6441-6463出版社
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/dcdsb.2022004
关键词
Reversible systems; KAM iteration; small perturbation; degenerate lower dimensional tori; topological degree theorem
资金
- National Natural Science Foundation of China [11501234, 11871146, 117030006]
This paper focuses on the persistence of lower-dimensional tori in reversible systems with high dimensional degenerate equilibrium under small perturbations. By applying an improved KAM iteration and Topological degree theory, we prove that the invariant torus with given frequency persists under small perturbations. Our result is a generalization of the work by X. Wang et al [On the persistence of degenerate lower-dimensional tori in reversible systems, Ergodic.
. This paper focuses on the persistence of lower-dimensional tori in reversible systems with high dimensional degenerate equilibrium under small perturbations. By an improved KAM iteration and Topological degree theory, we prove that the invariant torus with given frequency persists under small perturbations. Our result is a generalization of X. Wang et al [On the persistence of degenerate lower-dimensional tori in reversible systems, Ergodic
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