DISSIPATIVE SCHEMES WITH PROPERTY OF INHERITING HOMOCLINIC ORBITS FOR 2N-DIMENSIONAL HAMILTONIAN SYSTEMS
Author(s): DU Weihua, HUANG Mingyou
Pages: 197-212
Year: 2002 Issue: 2
Journal: NUMERICAL MATHEMATICS A JOURNAL OF CHINESE UNIVERSITIES ENGLISH SERIES
Keyword: Hamiltonian system; homoclinic orbit; dissipative scheme; continuation method;
Abstract: In this paper we develop a kind of dissipative discrete scheme for the computation ofhomoclinic orbits near TB-point in Hamiltonian systems. It is proved by using continuationmethod that when the dissipative term and its coefficient are suitably chosen, this scheme possessesdiscrete homoclinic orbits, which approximate the continuous homoclinic orbits with second orderaccuracy w. r. to time-step size.
Pages: 197-212
Year: 2002 Issue: 2
Journal: NUMERICAL MATHEMATICS A JOURNAL OF CHINESE UNIVERSITIES ENGLISH SERIES
Keyword: Hamiltonian system; homoclinic orbit; dissipative scheme; continuation method;
Abstract: In this paper we develop a kind of dissipative discrete scheme for the computation ofhomoclinic orbits near TB-point in Hamiltonian systems. It is proved by using continuationmethod that when the dissipative term and its coefficient are suitably chosen, this scheme possessesdiscrete homoclinic orbits, which approximate the continuous homoclinic orbits with second orderaccuracy w. r. to time-step size.
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