Babitsky, V. I., 1995, “Autoresonant Mechatronic Systems,” Mechatronics

[CrossRef], 5 , pp. 483–495.

Kurita, Y., and Muragishi, Y., 1996, “Self-Excited Driving of Resonance-Type Vibratory Machine by Vibration Quantity Feedback,” Transactions of the Japan Society of Mechanical Engineers, Series C, 62 , pp. 35–40, in Japanese.

Babitsky, V. I., Astashev, V. K., and Kalashnikov, A. N., 2004, “Autoresonant Control of Nonlinear Mode in Ultrasonic Transducer for Machining Applications,” Ultrasonics

[CrossRef], 42 , pp. 29–35.

Peigne, G., Kanmev, E., Brissaud, D., and Gouskov, A., 2005, “Self-Excited Vibratory Drilling,” Proc. Inst. Mech. Eng., Part B

[CrossRef], 219 , pp. 73–85.

Astashev, V., Babitsky, V., and Kolovsky, M., 2000, "*Dynamics and Control of Machines*", Springer, New York.

Binning, G., Quate, C. E., and Gerber, C., 1986, “Atomic Force Microscope,” Phys. Rev. Lett.

[CrossRef], 56 , pp. 930–933.

Gracia, R., and Perez, R., 2002, “Dynamic Atomic Force Microscopy Methods,” Surf. Sci. Rep.

[CrossRef], 47 , pp. 197–301.

Albrecht, T. R., Grutter, P., Horne, D., and Ruger, D., 1991, “Frequency Modulation Detection Using High-Q Cantilevers for Enhanced Force Microscope Sensitivity,” J. Appl. Phys.

[CrossRef], 69 , pp. 668–673.

Okajima, T., Sekiguchi, H., Arakawa, H., and Ikai, A., 2003, “Self-Oscillation Technique for AFM in Liquids,” Appl. Surf. Sci.

[CrossRef], 210 , pp. 68–72.

Yabuno, H., Kaneko, H., Kuroda, M., and Kobayashi, T., 2008, “van der Pol Type Self-Excited Micro-Cantilever Probe of Atomic Force Microscopy,” Nonlinear Dyn., online.

Guckenheimer, J., and Holmes, P., 1983, "*Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields*", Springer-Verlag, New York.

Maccari, A., 1998, “Approximate Solution of a Class of Nonlinear Oscillators in Resonance With Periodic Excitation,” Nonlinear Dyn.

[CrossRef], 15 , pp. 329–343.

Schenk-Hoppe, K. R., 1996, “Bifurcation Scenarios of the Noisy Duffing van der Pol Oscillator,” Nonlinear Dyn.

[CrossRef], 11 , pp. 255–274.

Xu, J., and Chung, K. W., 2003, “Effects of Time Delayed Position Feedback on a van der Pol-Duffing Oscillator,” Physica D

[CrossRef], 180 , pp. 17–39.

Hramov, A. E., Koronovskii, A. A., Kurovskaya, M. K., and Moskalenko, O. I., 2005, “Synchronization of Spectral Components and Its Regularities in Chaotic Dynamical Systems,” Phys. Rev. E

[CrossRef], 71 , p. 056204.

Murali, K., and Lakshmanan, M., 1993, “Transmission of Signals by Synchronization in a Chaotic van der Pol-Duffing Oscillator,” Phys. Rev. E

[CrossRef], 48 , pp. R1624–R1626.

Qiu, S., and Filanovsky, I. M., 1987, “Periodic Solutions of the van der Pol Equation With Moderate Values of Damping Coefficient,” IEEE Trans. Circuits Syst.

[CrossRef], AS-34 , pp. 913–918.

El-Abasy, E. M., 1985, “On the Period Solution of the van der Pol Oscillator With Large Damping,” Proc. - R. Soc. Edinburgh, Sect. A: Math., 100 , pp. 103–106.

Leine, R. I., Van Campen, D. H., and Van De Vrande, B. L., 2000, “Bifurcations in Nonlinear Discontinuous Systems,” Nonlinear Dyn.

[CrossRef], 23 , pp. 105–164.

Pfeiffer, F., and Glocker, C., 2004, "*Multibody Dynamics With Unilateral Contacts*", Wiley, Weinheim.

Van de Wouw, N., and Leine, R. I., 2004, “Attractivity of Equilibrium Sets of Systems With Dry Friction,” Nonlinear Dyn.

[CrossRef], 35 , pp. 19–39.

van der Pol, B., 1927, “On Relaxation-Oscillations,” Philos. Mag., 3 , pp. 978–992.

Feeny, B. F., and Liang, J. W., 1996, “A Decrement Method for the Simultaneous Estimation of Coulomb and Viscous Friction,” J. Sound Vib.

[CrossRef], 195 , pp. 149–154.

Glocker, C., 2001, "*Set-Valued Force Laws: Dynamics of Non-Smooth Systems*", (Lecture Notes in Applied Mechanics), Springer-Verlag, Berlin, Vol. 1 .

Leine, R. I., and Nijmeijer, H., 2004, "*Dynamics and Bifurcations of Non-Smooth Mechanical Systems*" (Lecture Notes in Applied and Computational Mechanics), Springer, Berlin, Vol. 18 .

Beards, C. F., 1981, "*Vibration Analysis and Control System Dynamics*"Wiley, New York.

Nayfeh, A. H., 1973, "*Perturbation Methods*"Wiley, New York.