Journal article icon

Journal article

Bifurcations in one degree-of-vibration quantum billiards

Abstract:

We classify the local bifurcations of one dov quantum billiards, showing that only saddle-center bifurcations can occur. We analyze the resulting planar system when there is no coupling in the superposition state. In so doing, we also consider the global bifurcation structure. Using a double-well potential as a representative example, we demonstrate how to locate bifurcations in parameter space. We also discuss how to approximate the cuspidal loop using AUTO as well as how to cross it via con...

Expand abstract
Publication status:
Published

Actions


Access Document


Publisher copy:
10.1142/S0218127401002572

Authors


More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Journal:
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS More from this journal
Volume:
11
Issue:
4
Pages:
903-911
Publication date:
2001-04-01
DOI:
EISSN:
1793-6551
ISSN:
0218-1274
Language:
English
Pubs id:
pubs:191383
UUID:
uuid:b5e45c19-f772-4ebd-b1f9-aa7b50096e77
Local pid:
pubs:191383
Source identifiers:
191383
Deposit date:
2012-12-19

Terms of use


Views and Downloads






If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP