| Authors: | Hedrih, Katica (Stevanović) | Title: | Nonlinear dynamics of a heavy material particle along a circle which rotates and optimal control | Journal: | IUTAM Symposium on Chaotic Dynamics and Control of Systems and Processes in Mechanics | Series/Report no.: | Solid Mechanics and its Applications | Volume: | 122 | First page: | 37 | Last page: | 45 | Issue Date: | 1-Dec-2005 | ISBN: | 978-1-402-03267-7 | ISSN: | 0925-0042 | DOI: | 10.1007/1-4020-3268-4_4 | Abstract: | In this paper some research results of fascinating nonlinear dynamics of a heavy material particle along circles with coupled rotations, with many different properties of nonlinear dynamics and optimal control of this dynamics, are presented. By using MathCad software, visualizations of nonlinear dynamical processes in such rheonomic systems are made. |
Keywords: | Bifurcation | Coupled rotation | Coupled singularities | Homoclinic orbit | Material particle | Nonlinear dynamics | Optimal control | Phase plane portrait | Separatrix in the form of number eight | Separatrix layering | Trigger | Publisher: | Springer Link |
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