BIFURCATIONS OF LIMIT-CYCLES IN PERIODICALLY FORCED NONLINEAR-SYSTEMS- THE HARMONIC-BALANCE APPROACH

Authors
PICCARDI C
Citation
C. Piccardi, BIFURCATIONS OF LIMIT-CYCLES IN PERIODICALLY FORCED NONLINEAR-SYSTEMS- THE HARMONIC-BALANCE APPROACH, IEEE transactions on circuits and systems. 1, Fundamental theory andapplications, 41(4), 1994, pp. 315-320
Citations number
13
Categorie Soggetti
Engineering, Eletrical & Electronic
Journal title
IEEE transactions on circuits and systems. 1, Fundamental theory andapplications → ACNP
ISSN journal
10577122
Volume
41
Issue
4
Year of publication
1994
Pages
315 - 320
Database
ISI
SICI code
1057-7122(1994)41:4<315:BOLIPF>2.0.ZU;2-#
Abstract
The harmonic balance approach is used to analyze tangent (saddle-node) and flip (period-doubling) bifurcations of limit cycles in periodical ly forced nonlinear dynamical systems. An algebraic system of equation s, whose unknowns are the coefficients of a truncated Fourier series, is defined and the relationships between the bifurcations of the solut ions of this algebraic system and the tangent and flip bifurcations of the limit cycles are pointed out. Some examples are presented to illu strate the method and its accuracy.