Manifold Piecewise Constant Systems and Chaos

@inproceedings{Tsubone1999ManifoldPC,
  title={Manifold Piecewise Constant Systems and Chaos},
  author={T. Tsubone and Toshimichi Saito},
  year={1999}
}
We propose manifold piecewise constant systems (ab. MPC) and consider basic phenomena: the 2-D, 3-D and 4-D MPCs exhibit limit-cycle, line-expanding chaos and areaexpanding chaos, respectively. The righthand side of the state equation is piecewise-constant, hence the system dynamics can be simplified into a piecewise-linear return map which can be expressed explicitly. In order to analyze the piecewise-linear return map, we introduce an evaluation function for the piecewise-linear return map… CONTINUE READING
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An IC chip of Chua’s circuit,

  • J. M. Cruz, L. O. Chua
  • IEEE Trans., CAS-II, vol.40,
  • 1998
1 Excerpt

Communicating with chaos: State of the art and engineering challenges,

  • M. P. Kennedy
  • Proc. IEEE/NDES ’96, Sevila,
  • 1998
1 Excerpt

Design of coupling 4 D - MPL hyperchaotic circuits with desired conditional Lyapunov exponents

  • Z. Liu
  • 1998

Hyperchaos from 4-D manifold piecewise-linear system,

  • T. Tsubone, T. Saito
  • IEEE Trans., CAS-I, vol.45,
  • 1998
2 Excerpts

K

  • T. Nakaguchi
  • Jin’no, and M. Tanaka, “Analysis of a simple…
  • 1998

Markov maps for communications with chaos

  • M. Delgado-Restituto Hasler, A. Rodŕiguez-Vázquez
  • Proc . IEEE / NDES ’
  • 1998

and A

  • M. Hasler, M. Delgado-Restituto
  • Rodŕiguez- Vázquez, “Markov maps for…
  • 1998

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