Duffing-Type Oscillators with Amplitude-Independent Period

نویسندگان

  • Ivana N. Kovacic
  • Richard H. Rand
چکیده

Nonlinear oscillators with hardening and softening cubic Duffing nonlinearity are considered. Such classical conservative oscillators are known to have an amplitude-dependent period. In this work, we design oscillators with the Duffing-type restoring force but an amplitude-independent period. We present their Lagrangians, equations of motion, conservation laws, as well as solutions for motion.

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تاریخ انتشار 2014