Authors:
Fernando Verduzco,
Joaquin Alvarez,
Volume: 1, Page 4821 Paper number 1103
Abstract:
The existence of homoclinic chaos in the dynamics of two kinds of pendula
with linear viscous damping, is proved via Melnikov's method. We consider
the classical inverted pendulum, whose pivot can move horizontally
on a cart, and the rotating inverted pendulum. Both devices are two
degrees of freedom (2-DOF) underactuated systems. We analyze the case
when the motion of the actuated part is periodic, with a sufficiently
small amplitude.
Authors:
Ernest Lim,
Iven M.Y. Mareels,
Volume: 1, Page 4823 Paper number 1583
Abstract:
The performance of a linear feedback controller designed to stabilize
a periodic-orbit of a one-dimensional chaotic system is examined. The
case-study illustrates the interaction of identification and control
in the context of control of chaos.
Authors:
Orhan Beker,
C.V. Hollot,
Yossi Chait,
Volume: 1, Page 4825 Paper number 9133
Abstract:
In this paper we analyze oscillations forced by sinusoidal sensor noise.
Authors:
Cong Wang,
Shuzhi Sam Ge,
Volume: 1, Page 4827 Paper number 1910
Abstract:
In this paper, adaptive synchronization of two uncertain chaotic systems
is presented using adaptive backstepping with tuning functions. The
master system is of any smooth, bounded, linear-in-the-parameters nonlinear
chaotic system, while the slave system is a nonlinear chaotic system
in the strict-feedback form. Both master and slave systems are with
key parameters unknown. Global stability and asymptotic synchronization
between the outputs of master and slave systems can be achieved. The
proposed approach offers a systematic design procedure for adaptive
synchronization of a large class of continuous-time chaotic systems
in the chaos research literature. Simulation results are presented
to show the effectiveness of the approach.
Authors:
Ubirajara F. Moreno,
Pedro L. D. Peres,
Ivanil S. Bonatti,
Volume: 1, Page 4833 Paper number 1517
Abstract:
This paper proposes the use of symbolic computation tools for the parametric
analysis of the synchronization stability of chaotic oscillators. Moreover,
some concepts of synchronization recently proposed in the literature
are briefly presented.
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