Homoclinic orbits in a piecewise linear Rössler-like circuit

@inproceedings{Pisarchik2005HomoclinicOI,
  title={Homoclinic orbits in a piecewise linear R{\"o}ssler-like circuit},
  author={Alexander N. Pisarchik and Rider Jaimes-Re{\'a}tegui},
  year={2005}
}
In addition to the well-known Rössler funnel that consists in near-homoclinic orbits, perfect homoclinic orbits have been found numerically and experimentally in a simplest piecewise linear Rössler-like electronic circuit. The evolution of the system in the homoclinic range exhibits period-bubbling and period-adding cascades when a control parameter is changed. A scaling law in the period-adding cascade between the period of a homoclinic orbit and the bifurcation parameter is evaluated. Other… CONTINUE READING
4 Citations
13 References
Similar Papers

References

Publications referenced by this paper.
Showing 1-10 of 13 references

On simplifying and classifuing piecewiselinear systems

  • V CCarmona, E Freire, E Ponce, F Torres
  • IEEE Transactions on Circuits and Systems – I…
  • 2002
1 Excerpt

Theoretical and experimental study of discrete behavior of Shilnikov chaos in a CO2 laser

  • A NPisarchik, R Meucci, F TArecchi
  • Eur Phys J D
  • 2001
2 Excerpts

Chaotic Electronics in Telecommunications (Florida: CRC

  • M PKennedy, R Rovatti, G Setti
  • 2000
1 Excerpt

A simple circuit for demonstrating regilar and synchronized chaos

  • T LCarroll
  • Am J Phys
  • 1995

Nonlinear Dynamics in Circuits (Singapore: World Scientific 126 Publishing

  • T Carrol, L Pecora
  • 1995
3 Excerpts

Similar Papers

Loading similar papers…