Title :
Separatrix splitting in Henon´s transformation
Author :
Chernov, Vadim L.
Author_Institution :
Dept. of Math. Phys., St. Petersburg State Univ., Russia
Abstract :
This paper contains the most important results on the separatrix splitting of one of the area-preserving maps of the plane, Henon´s map. Here is a complete proof of an asymptotic formula for the homoclinic invariant
Keywords :
Henon mapping; chaos; Henon´s map; Henon´s transformation; area-preserving maps; homoclinic invariant; separatrix splitting; Boundary conditions; Finite difference methods; High performance computing; Hydrogen; Integral equations; Physics; Trajectory;
Conference_Titel :
Control of Oscillations and Chaos, 2000. Proceedings. 2000 2nd International Conference
Conference_Location :
St. Petersburg
Print_ISBN :
0-7803-6434-1
DOI :
10.1109/COC.2000.873534
