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We explore a nonlocal connection between certain linear and nonlinearordinary differential equations (ODEs), representing physically importantoscillator systems, and identify a class of integrable nonlinear ODEs of anyorder. We also devise a method to derive explicit general solutions of thenonlinear ODEs. Interestingly, many well known integrable models can beaccommodated into our scheme and our procedure thereby provides furtherunderstanding of these models.Comment: 12 pages. J. Phys. A: Math. Gen. 39 (2006) in pres

A nonlocal connection between certain linear and nonlinear ordinary differential equations/oscillators