PREDICTING 2-DIMENSIONAL HAMILTONIAN CHAOS

Authors
PATTANAYAK AK SCHIEVE WC
Citation
Ak. Pattanayak et Wc. Schieve, PREDICTING 2-DIMENSIONAL HAMILTONIAN CHAOS, Zeitschrift fur Naturforschung. A, A journal of physical sciences, 52(1-2), 1997, pp. 34-36
Citations number
26
Categorie Soggetti
Chemistry Physical",Physics
Journal title
Zeitschrift fur Naturforschung. A, A journal of physical sciences → ACNP
ISSN journal
09320784
Volume
52
Issue
1-2
Year of publication
1997
Pages
34 - 36
Database
ISI
SICI code
0932-0784(1997)52:1-2<34:P2HC>2.0.ZU;2-P
Abstract
We use geometrical analysis to show that the Toda-Brumer-Duff criterio n for transition to chaos is a simple application of Jacobi's equation . Further, we propose a new criterion for this transition for two-dime nsional hamiltonian systems and summarize the results.