Comment on “Energy Quantization and the Simple Harmonic Oscillator”

1973 ◽  
Vol 41 (2) ◽  
pp. 297-297
Author(s):  
Arthur L. Loeb
Keyword(s):  
Harmonic Oscillator ◽  
Energy Quantization ◽  
Simple Harmonic Oscillator

Energy Quantization and the Simple Harmonic Oscillator

1972 ◽  
Vol 40 (9) ◽  
pp. 1258-1260 ◽  
Author(s):  
R. J. Swenson ◽  
J. C. Hermanson
Keyword(s):  
Harmonic Oscillator ◽  
Energy Quantization ◽  
Simple Harmonic Oscillator

Harmonic Oscillators with Nonlinear Damping

2017 ◽  
Vol 27 (11) ◽  
pp. 1730037 ◽  
Author(s):  
J. C. Sprott ◽  
W. G. Hoover
Keyword(s):  
Dynamical Systems ◽  
Harmonic Oscillator ◽  
Strange Attractor ◽  
Nonlinear Damping ◽  
Harmonic Oscillators ◽  
Coexisting Attractors ◽  
Simple Harmonic Oscillator ◽  
Interesting Behavior

Dynamical systems with special properties are continually being proposed and studied. Many of these systems are variants of the simple harmonic oscillator with nonlinear damping. This paper characterizes these systems as a hierarchy of increasingly complicated equations with correspondingly interesting behavior, including coexisting attractors, chaos in the absence of equilibria, and strange attractor/repellor pairs.

Propagator for the simple harmonic oscillator

1998 ◽  
Vol 66 (11) ◽  
pp. 1022-1024 ◽  
Author(s):  
Nora S. Thornber ◽  
Edwin F. Taylor
Keyword(s):  
Harmonic Oscillator ◽  
Simple Harmonic Oscillator
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