ZIB

Hits per page

hit 1 - 1 | 1 hit

Select All Export

Electronic Resource

Homoclinic period blow-up in reversible and conservative systems (1992)

Vanderbauwhede, André ; Fiedler, Bernold

Springer

Zeitschrift für angewandte Mathematik und Physik 43 (1992), S. 292-318

add to mindlist on the mindlist

Details

ISSN: 1420-9039

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics , Physics

Notes: Abstract We show that in conservative systems each non-degenerate homoclinic orbit asymptotic to a hyperbolic equilibrium possesses an associated family of periodic orbits. The family is parametrized by the period, and the periodic orbits accumulate on the homoclinic orbit as the period tends to infinity. A similar result holds for symmetric homoclinic orbits in reversible systems. Our results extend earlier work by Devaney and Henrard, and provide a positive answer to a conjecture of Strömgren. We present a unified approach to both the conservative and the reversible case, based on a technique introduced recently by X.-B. Lin.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00946632

Library	Location	Call Number	Volume/Issue/Year	Availability

Others were also interested in ...

Paper (German National Licenses)

Fulltext

hit 1 - 1 | 1 hit