Isolas, cusps and global bifurcations in an electronic oscillator

DOI10.1080/02681119708806250zbMath0940.70018OpenAlexW2060995502MaRDI QIDQ4237739

Fernando Fernández-Sánchez, Emilio Freire, Alejandro J. Rodríguez-Luis

Publication date: 24 July 2000

Published in: Dynamics and Stability of Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02681119708806250

zbMATH Keywords

bifurcationelectric circuitasymmetric periodic orbitssystem parametersisolated closed curve

Mathematics Subject Classification ID

Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Bifurcations and instability for nonlinear problems in mechanics (70K50) Technical applications of optics and electromagnetic theory (78A55)

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Uses Software

• AUTO-86

Cites Work

• Singularities and groups in bifurcation theory. Volume I
• T-points: A codimension two heteroclinic bifurcation
• Analysis of Hopf and Takens-Bogdanov bifurcations in a modified van der Pol-Duffing oscillator
• A case study for homoclinic chaos in an autonomous electronic circuit. A trip from Takens-Bogdanov to Hopf-Sil'nikov
• The non-transverse Shil'nikov-Hopf bifurcation: uncoupling of homoclinic orbits and homoclinic tangencies
• Successive homoclinic tangencies to a limit cycle
• NUMERICAL DETECTION AND CONTINUATION OF CODIMENSION-TWO HOMOCLINIC BIFURCATIONS
• NUMERICAL ANALYSIS AND CONTROL OF BIFURCATION PROBLEMS (I): BIFURCATION IN FINITE DIMENSIONS