Chaotic Motion of a Pendulum with Oscillatory Forcing

The chaos theory is discussed in conjunction with a pendulum with oscillatory forcing. The various results that come from differential equations are accessible by methods that involve the study of solutions of the differential equations directly rather than through a map.

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Bibliographische Detailangaben
Veröffentlicht in:	The American mathematical monthly 1993-06, Vol.100 (6), p.563-572
Hauptverfasser:	Hastings, S. P., McLeod, J. B.
Format:	Artikel
Sprache:	eng
Schlagworte:	Chaos theory Classical and quantum physics: mechanics and fields Classical mechanics of discrete systems: general mathematical aspects Counter rotation Damping Differential equations Dynamical systems Exact sciences and technology Geometry, differential geometry, and topology Global analysis and analysis on manifolds Integers Kinetics Mathematical methods in physics Mathematics Nonlinear dynamics and nonlinear dynamical systems Pendulums Physics Statistical physics, thermodynamics, and nonlinear dynamical systems Trajectories
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Beschreibung
Zusammenfassung:	The chaos theory is discussed in conjunction with a pendulum with oscillatory forcing. The various results that come from differential equations are accessible by methods that involve the study of solutions of the differential equations directly rather than through a map.
ISSN:	0002-9890 1930-0972
DOI:	10.1080/00029890.1993.11990451