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Minimal topological chaos coexisting with a finite set of homoclinic and periodic orbits
(Physica D: Nonlinear Phenomena, 2018)
On homoclinic chaos and a control chaos strategy applied to a free-joint nonholonomic manipulator
(World Scientific Publ Co Pte Ltd, 2007-06-01)
In this work, the occurrence of chaos (homoclinic scene) is verified in a robotic system with two degrees of freedom by using Poincare-Mel'nikov method. The studied problem was based on experimental results of a two-joint ...
On homoclinic chaos and a control chaos strategy applied to a free-joint nonholonomic manipulator
(World Scientific Publ Co Pte Ltd, 2007-06-01)
In this work, the occurrence of chaos (homoclinic scene) is verified in a robotic system with two degrees of freedom by using Poincare-Mel'nikov method. The studied problem was based on experimental results of a two-joint ...
On homoclinic chaos and a control chaos strategy applied to a free-joint nonholonomic manipulator
(World Scientific Publ Co Pte LtdSingaporeSingapura, 2007)
On stick-slip homoclinic chaos and bifurcations in a mechanical system with dry friction
(World Scientific Publ Co Pte Ltd, 2001-07-01)
In this paper we consider a self-excited mechanical system by dry friction in order to study the bifurcational behavior of the arisen vibrations. The oscillating system consists of a mass block-belt-system which is ...
On stick-slip homoclinic chaos and bifurcations in a mechanical system with dry friction
(World Scientific Publ Co Pte Ltd, 2001-07-01)
In this paper we consider a self-excited mechanical system by dry friction in order to study the bifurcational behavior of the arisen vibrations. The oscillating system consists of a mass block-belt-system which is ...
On stick-slip homoclinic chaos and bifurcations in a mechanical system with dry friction
(World Scientific Publ Co Pte Ltd, 2014)
Signatures of homoclinic motion in quantum chaos
(American Physical Society, 2005-12)
Homoclinic motion plays a key role in the organization of classical chaos in Hamiltonian systems. In this Letter, we show that it also imprints a clear signature in the corresponding quantum spectra. By numerically studying ...
On chaotic behavior of a fixed offshore structure
(World Scientific Publ Co Pte Ltd, 2009-01-01)
In this paper we analyze the qualitative behavior of a fixed offshore oil platform under sea action perturbation (flows and tides), which is modeled by an inverted rigid pendulum with an elastic articulation at sea surface. ...
Time-periodic perturbation of a Lienard equation with an unbounded homoclinic loop
(Elsevier B.V., 2011-08-15)
We consider a quadratic Lienard equation with an unbounded homoclinic loop, which is a solution tending in forward and backward time to a non-hyperbolic equilibrium point located at infinity. Under small time-periodic ...