THE APPROXIMATE DETERMINATION OF OSCILLATIONS AND STABILITY OF NON-LINEAR SYSTEMS

1961 ◽  
pp. 550-667
Author(s):  
E.P. POPOV
Keyword(s):  
Linear Systems ◽  
Approximate Determination ◽  
Non Linear ◽  
Non Linear Systems

Algorithm for the Determination of the Resonances of Anharmonic Damped Oscillators

1987 ◽  
Vol 42 (8) ◽  
pp. 803-807 ◽  
Author(s):  
G. Reiser ◽  
A. Hübler ◽  
E. Lüscher
Keyword(s):  
Linear Systems ◽  
New Method ◽  
Resonance Spectroscopy ◽  
Driving Mechanism ◽  
Non Linear ◽  
Non Linear Systems ◽  
Damped Oscillators ◽  
The Way

Non-linear damped oscillators can be resonantly driven by an aperiodic force. An algorithm is described which shows how such a driving mechanism can be calculated. This new method paves the way for resonance spectroscopy in non-linear systems.

The practical use of variation principles in the determination of the stability of non linear systems

1961 ◽  
Vol 2 (2) ◽  
pp. 153-188 ◽  
Author(s):  
J. N. Lyness ◽  
J. M. Blatt
Keyword(s):  
Linear Systems ◽  
Initial Conditions ◽  
Mathieu Equation ◽  
Iteration Procedure ◽  
Variation Principle ◽  
Non Linear ◽  
Non Linear Systems ◽  
The Stability ◽  
Special Case

AbstractWe are interested in the motion of non linear systems. In this paper we use a variation principle and an iteration procedure in order to treat the stability of free oscillations against small disturbances of the initial conditions. It is found that approximations to the low lying stability lines can be obtained using the Rayleigh-Ritz variation principle and that these approximations can be consistently improved using an iteration procedure. These approximations are compared with the tabulated values in the special case of the Mathieu Equation. The results are in general a considerable improvement on those obtained using the usual Perturbation Theory, and have a much wider range of validity.

Holomorphically projective mappings between generalized m-parabolic Kähler manifolds

Filomat ◽  
2017 ◽  
Vol 31 (15) ◽  
pp. 4865-4873 ◽  
Author(s):  
Milos Petrovic
Keyword(s):  
Linear Systems ◽  
Kähler Manifolds ◽  
Kahler Manifolds ◽  
Covariant Derivatives ◽  
Linearly Independent ◽  
Non Linear ◽  
Non Linear Systems ◽  
Curvature Tensors ◽  
Derivatives Of

Generalized m-parabolic K?hler manifolds are defined and holomorphically projective mappings between such manifolds have been considered. Two non-linear systems of PDE?s in covariant derivatives of the first and second kind for the existence of such mappings are given. Also, relations between five linearly independent curvature tensors of generalized m-parabolic K?hler manifolds with respect to these mappings are examined.

Distributed track‐to‐track fusion for non‐linear systems with Gaussian mixture noise

2019 ◽  
Vol 13 (5) ◽  
pp. 740-749 ◽  
Author(s):  
Kelin Lu ◽  
Changyin Sun ◽  
Qien Fu ◽  
Qian Zhu
Keyword(s):  
Linear Systems ◽  
Gaussian Mixture ◽  
Track Fusion ◽  
Non Linear ◽  
Non Linear Systems
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