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Müller F, Krack M (2020a) Explanation of the self-adaptive dynamics of a harmonically forced
beam with a sliding mass. Archive Appl Mech. (Published online 6 Mar 2020,
10.1007/s00419-020-01787-z)
Müller F, Krack M (2020b) Correction to: explanation of the self-adaptive dynamics of a
harmonically forced beam with a sliding mass. Arc Appl Mech. (Published online 14 Oct 2020,
10.1007/s00419-020-01787-z)
Mullin T, Champneys A, Fraser WB, Galan J, Acheson D (2003) The ‘Indian wire trick’ via
parametric excitation: a comparison between theory and experiment. Proc Roy Soc Lond A 459
(2031):539–546
Myneni K, Barr TA, Corron NJ, Pethel SD (1999) New method for the control of fast chaotic
oscillations. Phys Rev Lett 83(11):2175–2178
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damping. J Sound Vib 146(1):17–31
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J Sound Vib 377:22–37
Nayfeh AH (1973) Perturbation methods. Wiley, New York
Nayfeh AH (1989) Application of the method of multiple scales to nonlinearly coupled oscillators.
In: Hirschfelder et al. (eds) Lasers molecules and methods. Wiley, New York, pp 137–196
Nayfeh AH (1993) Method of normal forms. Wiley, New York
Nayfeh AH (1997) Nonlinear interactions. Wiley, New York
Nayfeh AH (1998) Reduced-order models of weakly nonlinear spatially continuous systems.
Nonlinear Dyn 16:105–125
Nayfeh AH, Raouf RA (1987) Nonlinear forced response of infinitely long circular cylindrical
shells. ASME J Appl Mech 54(3):571–577
Nayfeh AH, Balachandran B (1989) Modal interactions in dynamical and structural systems. Appl
Mech Rev 42(11):175–201
Nayfeh AH, Balachandran B (1995) Applied nonlinear dynamics. Wiley, New York
Nayfeh AH, Balachandran B, Colbert MA, Nayfeh MA (1989) An experimental investigation of
complicated responses of a two-degree-of freedom structure. ASME J Appl Mech 56(4):960–
967
Nayfeh AH, Khdeir AA (1986) Nonlinear rolling of ships in regular seas. Int Shipbuilding Prog
33:40–49
Nayfeh AH, Mook DT (1979) Nonlinear oscillations. Wiley, New York
Nayfeh AH, Zavodney LD (1988) Experimental observation of amplitude- and phase-modulated
responses of two internally coupled oscillators to a harmonic excitation. ASME J Appl Mech
55(3):706–710
Neumeyer S, Sorokin VS, van Gastel MHM, Thomsen JJ (2019) Frequency detuning effects for a
parametric amplifier. J Sound Vib 445:77–87
Neumeyer S, Sorokin VS, Thomsen JJ (2017) Effects of quadratic and cubic nonlinearities on a
perfectly tuned parametric amplifier. J Sound Vib 386:327–335
Newhouse S, Ruelle D, Takens F (1978) Occurrence of strange axiom-A attractors near
quasiperiodic flows on Tm, m ! 3. Commun Math Phys 64:35–40
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Noël JP, Kerschen G (2017) Nonlinear system identification in structural dynamics: 10 more years
of progress. Mech Syst Signal Process 83:2–35
Ott E (1993) Chaos in dynamical systems. Cambridge University Press, Cambridge
Ott E, Grebogi C, Yorke JA (1990) Controlling chaos. Phys Rev Lett 64(11):1196–1199
Païdoussis MP, Li GX, Moon FC (1989) Chaotic oscillations of the autonomous system of a
constrained pipe conveying fluid. J Sound Vib 135(1):1–19
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509
University Press, Cambridge
Müller F, Krack M (2020a) Explanation of the self-adaptive dynamics of a harmonically forced
beam with a sliding mass. Archive Appl Mech. (Published online 6 Mar 2020,
10.1007/s00419-020-01787-z)
Müller F, Krack M (2020b) Correction to: explanation of the self-adaptive dynamics of a
harmonically forced beam with a sliding mass. Arc Appl Mech. (Published online 14 Oct 2020,
10.1007/s00419-020-01787-z)
Mullin T, Champneys A, Fraser WB, Galan J, Acheson D (2003) The ‘Indian wire trick’ via
parametric excitation: a comparison between theory and experiment. Proc Roy Soc Lond A 459
(2031):539–546
Myneni K, Barr TA, Corron NJ, Pethel SD (1999) New method for the control of fast chaotic
oscillations. Phys Rev Lett 83(11):2175–2178
Narayanan S, Jayaraman K (1991) Chaotic vibration in a non-linear oscillator with coulomb
damping. J Sound Vib 146(1):17–31
Nath J, Chatterjee S (2016) Tangential acceleration feedback control of friction induced vibration.
J Sound Vib 377:22–37
Nayfeh AH (1973) Perturbation methods. Wiley, New York
Nayfeh AH (1989) Application of the method of multiple scales to nonlinearly coupled oscillators.
In: Hirschfelder et al. (eds) Lasers molecules and methods. Wiley, New York, pp 137–196
Nayfeh AH (1993) Method of normal forms. Wiley, New York
Nayfeh AH (1997) Nonlinear interactions. Wiley, New York
Nayfeh AH (1998) Reduced-order models of weakly nonlinear spatially continuous systems.
Nonlinear Dyn 16:105–125
Nayfeh AH, Raouf RA (1987) Nonlinear forced response of infinitely long circular cylindrical
shells. ASME J Appl Mech 54(3):571–577
Nayfeh AH, Balachandran B (1989) Modal interactions in dynamical and structural systems. Appl
Mech Rev 42(11):175–201
Nayfeh AH, Balachandran B (1995) Applied nonlinear dynamics. Wiley, New York
Nayfeh AH, Balachandran B, Colbert MA, Nayfeh MA (1989) An experimental investigation of
complicated responses of a two-degree-of freedom structure. ASME J Appl Mech 56(4):960–
967
Nayfeh AH, Khdeir AA (1986) Nonlinear rolling of ships in regular seas. Int Shipbuilding Prog
33:40–49
Nayfeh AH, Mook DT (1979) Nonlinear oscillations. Wiley, New York
Nayfeh AH, Zavodney LD (1988) Experimental observation of amplitude- and phase-modulated
responses of two internally coupled oscillators to a harmonic excitation. ASME J Appl Mech
55(3):706–710
Neumeyer S, Sorokin VS, van Gastel MHM, Thomsen JJ (2019) Frequency detuning effects for a
parametric amplifier. J Sound Vib 445:77–87
Neumeyer S, Sorokin VS, Thomsen JJ (2017) Effects of quadratic and cubic nonlinearities on a
perfectly tuned parametric amplifier. J Sound Vib 386:327–335
Newhouse S, Ruelle D, Takens F (1978) Occurrence of strange axiom-A attractors near
quasiperiodic flows on Tm, m ! 3. Commun Math Phys 64:35–40
Newton I (1686) Philosophiae Naturalis Principia Mathematica (English translation by A. Motte,
1729). University of California Press, Berkeley and Los Angeles, 1962
Niordson FI (1985) Shell theory. Elsevier, Amsterdam
Noël JP, Kerschen G (2017) Nonlinear system identification in structural dynamics: 10 more years
of progress. Mech Syst Signal Process 83:2–35
Ott E (1993) Chaos in dynamical systems. Cambridge University Press, Cambridge
Ott E, Grebogi C, Yorke JA (1990) Controlling chaos. Phys Rev Lett 64(11):1196–1199
Païdoussis MP, Li GX, Moon FC (1989) Chaotic oscillations of the autonomous system of a
constrained pipe conveying fluid. J Sound Vib 135(1):1–19
References
509