2-D Duffing OscillatorElliptic Functions from a Dynamical Systems Point of View
- Francisco Javier Molero 1
- Martín Lara 1
- Sebastián Ferrer 1
- Francisco Céspedes 1
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1
Universidad de Murcia
info
ISSN: 1575-5460
Datum der Publikation: 2013
Ausgabe: 12
Nummer: 1
Seiten: 115-139
Art: Artikel
Andere Publikationen in: Qualitative theory of dynamical systems
Zusammenfassung
K. Meyer has advocated for the study of elliptic functions and integrals from a dynamical systems point of view. Here, we follow his advice and we propose the bidimensional Hamiltonian Duffing oscillator as a model; it allows us to deal with the elliptic integral of third kind directly. Focusing on bounded trajectories we do a detailed analysis of the solutions in the three regions defined by the parameters. In our opinion, for the study of elliptic functions, the model presented here represents an alternative to the pendulum or the free rigid body systems.