IIIE 20352
INSTITUTO DE INVESTIGACIONES EN INGENIERIA ELECTRICA "ALFREDO DESAGES"
Unidad Ejecutora - UE
artículos
Título:
A GALLERY OF OSCILLATIONS IN A RESONANT ELECTRIC CIRCUIT: HOPF-HOPF AND FOLD-FLIP INTERACTIONS
Autor/es:
GUSTAVO REVEL; DIEGO M. ALONSO; JORGE L. MOIOLA
Revista:
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Editorial:
World Scientific Publishing Company
Referencias:
Año: 2008 vol. 18 p. 481 - 494
ISSN:
0218-1274
Resumen:
In this work, the dynamics of a coupled electric circuit is studied. Several bifurcation diagrams
associated with the truncated normal form of the Hopf-Hopf bifurcation are presented. The
bifurcation curves are obtained by numerical continuation methods. The existence of quasiperiodic
solutions with two (2D torus) and three (3D torus) frequency components is shown.
These, in certain way, are close (or have a tendency to end up) to chaotic motion. Furthermore,
two fold-flip bifurcations are detected in the vicinity of the Hopf-Hopf bifurcation, and are
classified correspondingly. The analysis is completed with time simulations, the continuation of
several limit cycle bifurcations and the indication of resonance points.
