Regular and Chaotic Motion of a Bush-Shaft System with Tribological Processes

2011 ◽  
pp. 569-581
Author(s):  
J Awrejcewicz ◽  
Y Pyryev
Keyword(s):  
Chaotic Motion ◽  
Shaft System ◽  
Regular And Chaotic Motion

Regular and chaotic motion of coupled rotators

1983 ◽  
Vol 9 (3) ◽  
pp. 433-438 ◽  
Author(s):  
Mario Feingold ◽  
Asher Peres
Keyword(s):  
Chaotic Motion ◽  
Regular And Chaotic Motion ◽  
Coupled Rotators

scholarly journals Regular and chaotic motion of a bush-shaft system with tribological processes

2006 ◽  
Vol 2006 ◽  
pp. 1-13
Author(s):  
Jan Awrejcewicz ◽  
Yuriy Pyryev
Keyword(s):  
Numerical Analysis ◽  
Perturbation Methods ◽  
Type Equation ◽  
Theoretical Background ◽  
Point Of View ◽  
Bifurcation Diagrams ◽  
Volterra Type ◽  
Shaft System ◽  
Laplace Transformations ◽  
Regular And Chaotic Motion

The methods of both analysis and modeling of contact bush-shaft systems exhibiting heat generation and wear due to friction are presented [3–5]. From the mathematical point of view, the considered problem is reduced to the analysis of ordinary differential equations governing the change of velocities of the contacting bodies, and to the integral Volterra-type equation governing contact pressure behavior. In the case where tribological processes are neglected, thresholds of chaos are detected using bifurcation diagrams and Lyapunov exponents identification tools. In addition, analytical Mel'nikov's method is applied to predict chaos. It is shown, among the others, that tribological processes play a stabilizing role. The following theoretical background has been used in the analysis: perturbation methods, Mel'nikov's techniques [7,8], Laplace transformations, the theory of integral equations, and various variants of numerical analysis.

scholarly journals Regular and chaotic motion of high altitude satellites

2007 ◽  
Vol 40 (1) ◽  
pp. 134-142 ◽  
Author(s):  
I. Wytrzyszczak ◽  
S. Breiter ◽  
W. Borczyk
Keyword(s):  
High Altitude ◽  
Chaotic Motion ◽  
Regular And Chaotic Motion

THE INTERPLAY BETWEEN REGULAR AND CHAOTIC MOTION IN NUCLEI

1987 ◽  
Vol 02 (04) ◽  
pp. 233-237 ◽  
Author(s):  
I. ROTTER
Keyword(s):  
Chaotic Motion ◽  
Level Density ◽  
Quantum Mechanical ◽  
Nuclear System ◽  
Dissipative Forces ◽  
Open Quantum ◽  
Low Level ◽  
Regular Motion ◽  
Regular And Chaotic Motion ◽  
High Level

The regular motion of nucleons in the low-lying nuclear states and the chaotic motion in the compound nuclei are shown to arise from the interplay of conservative and dissipative forces in the open quantum mechanical nuclear system. The regularity at low level density is caused by selforganization in a conservative field of force. At high level density, chaoticity appears since information on the environment is transferred into the system by means of dissipative forces.

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