Nonlinear dynamics of a single-degree robot model Part 2: Onset of chaotic transients

Authors:
V. Paar;N. Pavin;N. Paar;B. Novaković
Affiliations:
Department of Physics, Faculty of Science, University of Zagreb, Zagreb (Croatia);Department of Physics, Faculty of Science, University of Zagreb, Zagreb (Croatia);Department of Physics, Faculty of Science, University of Zagreb, Zagreb (Croatia);Faculty of Mechanical Engineering and Naval Architecture, University of Zagreb, Zagreb (Croatia)
Venue:
Robotica
Year:
2000

Citing 5
Cited 0

Transient chaotic distributions in dissipative systems

Physica D
Chaotic and regular motion in nonlinear vibrating systems

Chaotic motions in nonlinear dynamical systems
On chaos and fractal behavior in a generalized Duffing's system

Physica D
Three-frequency quasiperiodicity, phase locking, and the onset of chaos

Physica D
Robot Manipulators: Mathematics, Programming, and Control

Robot Manipulators: Mathematics, Programming, and Control

Quantified Score

Hi-index	0.01

Visualization

Abstract

In Part 1 of this paper we have investigated numerically the quasiperiodic and frequency locked solutions of mathematical model of a robot with one degree of freedom. In this paper we extend our investigations to the region of transient chaos. The zones of chaotic transients are very broad and lie beyond the parameter range of engineering significance. Transiently chaotic zones exhibit a complex structure, fractally intertwined with tongues of regular pattern and cover a broad range of control parameter L. The crisis point for the onset of sustained chaos lies extremely far from the point of onset of transient chaos.