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Hopf bifurcation for maps: a frequency domain approach

D'amico, Edith Maria Belen et al · Institute of Electical and Electronics Engineers Circuits and Systems Society · 2002

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Author / responsible party
D'amico, Edith Maria Belen et al
Publisher
Institute of Electical and Electronics Engineers Circuits and Systems Society
Year
2002
ISSN
1057-7122
ISSN
1057-7122
Language
English

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The application of the graphical Hopf theorem (GHT) as a tool for detecting invariant cycles in maps is presented. The invariant cycle emerging from the bifurcation is approximated using an analogous version of the GHT for continuous-time systems. This technique is formulated in the so-called frequency domain and it involves the use of the Nyquist stability criterion and the harmonic balance method. Some examples are included for illustration. Fil: D'amico, Edith Maria Belen. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Investigaciones en Ingeniería Eléctrica "Alfredo Desages". Universidad Nacional del Sur. Departamento de Ingeniería Eléctrica y de Computadoras. Instituto de Investigaciones en Ingeniería Eléctrica "Alfredo Desages"; Argentina Fil: Moiola, Jorge Luis. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Investigaciones en Ingeniería Eléctrica "Alfredo Desages". Universidad Nacional del Sur. Departamento de Ingeniería Eléctrica y de Computadoras. Instituto de Investigaciones en Ingeniería Eléctrica "Alfredo Desages"; Argentina

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APA 7

D'amico, E. M. B. E. A. (2002). Hopf bifurcation for maps: a frequency domain approach. http://hdl.handle.net/11336/104059

MLA

D'amico, Edith Maria Belen et al. "Hopf bifurcation for maps: a frequency domain approach." 2002. http://hdl.handle.net/11336/104059.

Chicago

D'amico, Edith Maria Belen et al. 2002. "Hopf bifurcation for maps: a frequency domain approach.". http://hdl.handle.net/11336/104059.

Harvard

D'amico, E. M. B. E. A. 2002, Hopf bifurcation for maps: a frequency domain approach, Institute of Electical and Electronics Engineers Circuits and Systems Society, available at: http://hdl.handle.net/11336/104059 [Accessed 8 Aug. 2026].

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Title
Hopf bifurcation for maps: a frequency domain approach
Author / contributors
D'amico, Edith Maria Belen et al
Publisher
Institute of Electical and Electronics Engineers Circuits and Systems Society
Publication year
2002
ISSN
1057-7122
ISSN
1057-7122
Language
English

Subjects

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BIFURCATION; DISCRETE-TIME SYSTEMS; FREQUENCY DOMAIN; HARMONIC ANALYSIS; https://purl.org/becyt/ford/2.2; https://purl.org/becyt/ford/2
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