Gluing bifurcations in optothermal nonlinear devices

R. Herrero, J. Farjas, R. Pons, F. Pi, and G. Orriols
Phys. Rev. E 57, 5366 – Published 1 May 1998
PDFExport Citation

Abstract

The gluing process through which two limit cycles become a two-lobed limit cycle by involving an intermediate saddle point has been investigated in the reflection of an optothermal nonlinear device that behaves as a three-dimensional dynamical system. Sequences of both periodic and aperiodic oscillations of complex hybrid structures appear during the process. The observed phenomena have been interpreted as arising from a set of homoclinic bifurcations organized around some codimension-two global bifurcations in which the saddle point experiences homoclinicity at both sides simultaneously. Experimental results are compared with numerical simulations.

  • Received 3 November 1997

DOI:https://doi.org/10.1103/PhysRevE.57.5366

©1998 American Physical Society

Authors & Affiliations

R. Herrero, J. Farjas*, R. Pons, F. Pi, and G. Orriols

  • Departament de Física, Universitat Autònoma de Barcelona, 08193 Bellaterra, Spain

  • *Present address: Departament d’Enginyeria Industrial, Universitat de Girona, Avinguda Santaló s/n, 17071 Girona, Spain.
  • Present address: Departament de Física i Enginyeria Nuclear, EUETIT, Universitat Politècnica de Catalunya, C/. Colom 1 08222 Terrassa, Spain.

References (Subscription Required)

Click to Expand
Issue

Vol. 57, Iss. 5 — May 1998

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review E

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×