Papers Published

1. Tang, Deman and Attar, Peter and Li, Aiqin and Dowell, Earl H., Complex dynamics of a pyranose ring structure molecule attached to an atomic force microscope, Nonlinear Dynamics, vol. 45 no. 3-4 (2006), pp. 283 - 303 [s11071-006-0508-9] .
   (last updated on 2007/04/10)

   Abstract:
   Dynamic numerical simulations were performed for a pyranose ring structure molecule attached to an Atomic Force Microscope (AFM) using a standard semiempirical potential energy surface model. The fundamental static force-extension behavior was first determined using a slow pulling base excitation at the AFM probe. The static force-extension curve displays a stiffness nonlinearity, both softening and hardening, that depends upon level of the pulling force. For the dynamic analysis, a single harmonic base excitation is applied to the AFM probe. A typical evolution process from periodic to aperiodic or chaotic motion obtained by varying the excitation frequency and amplitude is discussed. A strong chaotic response motion was generated for certain system parameters. The numerical analysis shows this chaotic response arises from a molecular structure conformational change. © Springer 2006.

   Keywords:
   Atomic force microscopy;Mathematical models;Nonlinear systems;Hardening;Numerical analysis;Computer simulation;