Multi-frequency oscillations in self-excited systems

Nonlinear Dynamics

Volumn 48, Issue 1-2, 2007, Pages 115-127

  Bakri, T ^a   Nabergoj, R ^b   Tondl, A ^c  

^a UTRECHT UNIVERSITY   (Netherlands)

^b UNIVERSITY OF TRIESTE   (Italy)

^c NONE   (Czech Republic)

Author keywords

Averaging; Bifurcations; Coupled oscillators; Method; Self excited vibrations; Three mass chain system

Indexed keywords

APPROXIMATION THEORY; BIFURCATION (MATHEMATICS); CHAOS THEORY; COMPUTER SIMULATION; PHASE DIAGRAMS;

AVERAGING; COUPLED OSCILLATORS; SELF EXCITED VIBRATIONS; THREE MASS CHAIN SYSTEM;

OSCILLATIONS;

EID: 33846471961     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-006-9077-1     Document Type: Article

References (7)

1. Tondl, A.: Self-excited vibrations. National research institute for machine design, monograph and memoranda (9) Prague (1970)
2. Tondl, A.: Notes on the problem of sell-excited vibrations and nonlinear resonances of rotors supported on several journal bearings. Wear 8, 349-357 (1965)
3. Hale, J.K.: Oscillations in Nonlinear Systems. McGraw-Hill, New York (1963)
4. Kuznetsov, Yu.A.: Elements of Applied Bifurcation Theory, 2nd edn. Springer, New York (1995)
5. Sanders, J.A., Verhulst, F.: Averaging Methods in Nonlinear Dynamical Systems. Springer-Verlag, New York (1985)
6. Verhulst, F.: Methods and Applications of Singular Perturbations. Springer, New York (2005)
7. Verhulst, F.: Nonlinear Differential Equations and Dynamical Systems. Springer, Berlin, Heidelberg (1996)