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J. H. He, “Some new Approaches to Duffing Equation with Strongly and High Order Nonlinearity (II) Parametrized Perturbation Technique,” Communications in Nonlinear Science and Numerical Simulation, Vol. 4, No. 1, 1999, pp. 81-83. doi:10.1016/S1007-5704(99)90065-5

has been cited by the following article:

• TITLE: Coupling Interactions and Trapped Effects for a Triple-Well Potential

  AUTHORS: Sezgin Aydın, Mehmet Şimşek

  KEYWORDS: Perturbation Method, Triple-Well Potential, Duffing Equation, Weak and Strong Couplings.

  JOURNAL NAME: Journal of Modern Physics, Vol.2 No.8, August 31, 2011

  ABSTRACT: Weak and strong coupling interactions and trapped effects have always played a significant role in understanding physical and chemical properties of materials. Triple-well anharmonic potential may be modeled for interpretation of energy spectra from the nuclear to macro molecular systems, and also crystalline systems. Exact periods of a trapped particle in each well of the potential are explicitly derived. For the extended Duffing system, it is predicted that infinite series of both frequency and spatial trajectory approach to exact results in the limit of weak-coupling cases (g→0).