ALBERT — All Library Books, journals and Electronic Records Telegrafenberg

Hits per page

hit 1 - 1 | 1 hit

Sorting

Electronic Resource

Constructing dynamical systems having homoclinic bifurcation points of codimension two (1997)

Sandstede, Björn

Springer

Journal of dynamics and differential equations 9 (1997), S. 269-288

add to mindlist on the mindlist

Details

ISSN: 1572-9222

Keywords: Homoclinic orbits ; bifurcations ; 34C37 ; 58F14

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract A procedure is derived which allows for a systematic construction of three-dimensional ordinary differential equations having homoclinic solutions. The equations are proved to exhibit codimension-two homoclinic bifurcation points. Examples include the non-orientable resonant bifurcation, the inclination-flip, and the orbit-flip. In addition, an equation is constructed which has a homoclinic orbit converging to a saddle-focus satisfying Shilnikov's condition. The vector fields are polynomial and non-stiff in that the eigenvalues are of moderate size.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF02219223

Permalink

	Location	Call Number	Expected	Availability

Others were also interested in ...

Paper (German National Licenses)

Fulltext

hit 1 - 1 | 1 hit