Continuation of periodic solutions of dissipative and conservative systems: application to elastic pendulum

DOI10.1155/2009/104547zbMath1331.70060OpenAlexW1982599514WikidataQ21342800 ScholiaQ21342800MaRDI QIDQ1036258

P. Pokorny

Publication date: 13 November 2009

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2009/104547

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42)

Related Items (3)

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Uses Software

• AUTO2000

Cites Work

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• Stability condition for vertical oscillation of 3-dim heavy spring elastic pendulum
• Resonant motions of the three-dimensional elastic pendulum
• Pulsation and precession of the resonant swinging spring
• Continuation of periodic orbits in conservative and Hamiltonian systems
• The motion of the elastic pendulum.
• Deterministic chaos in the elastic pendulum: A simple laboratory for nonlinear dynamics
• Localized oscillations in conservative or dissipative networks of weakly coupled autonomous oscillators
• The elastic pendulum: A nonlinear paradigm
• Chaotic Behaviour of Deterministic Dissipative Systems
• TUTORIAL ON CONTINUATION
• Stepwise Precession of the Resonant Swinging Spring

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