Initialization of homoclinic solutions near Bogdanov-Takens points: Lindstedt-Poincaré compared with regular perturbation method

SIAM Journal on Applied Dynamical Systems

Volumn 15, Issue 2, 2016, Pages 952-980

  Al Hdaibat, B ^a   Govaerts, W ^a   Kuznetsov, Yu A ^b,c   Meijer, H G E ^c  

^a GHENT UNIVERSITY   (Belgium)

^b UTRECHT UNIVERSITY   (Netherlands)

^c UNIVERSITY OF TWENTE   (Netherlands)

Author keywords

Bogdanov Takens bifurcation; Homoclinic orbits; Lindstedt Poincar method; MatCont; Regular perturbation method

Indexed keywords

BIFURCATION (MATHEMATICS); NUMERICAL METHODS; PERTURBATION TECHNIQUES; PHASE SPACE METHODS;

BIFURCATION PARAMETER; BOGDANOV-TAKENS BIFURCATIONS; BOGDANOV-TAKENS POINT; HOMOCLINIC ORBITS; MATCONT; MULTI-DIMENSIONAL STATE; NUMERICAL IMPLEMENTATION; REGULAR PERTURBATIONS;

DYNAMICAL SYSTEMS;

EID: 84976871561     PISSN: None     EISSN: 15360040     Source Type: Journal    
DOI: 10.1137/15M1017491     Document Type: Article

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