Detail publikace

Lorenz and Rossler systems with piecewise-linear vector fields

PETRŽELA, J., POSPÍŠIL, J., KOLKA, Z., HANUS, S.

Originální název

Lorenz and Rossler systems with piecewise-linear vector fields

Typ

článek v časopise - ostatní, Jost

Jazyk

angličtina

Originální abstrakt

Dynamical systems of class C are described by the 3rd order autonomous differential equation with nonlinearity given as a three-segment piecewise-linear (PWL) function. Argument of this function is a linear combination of state variables. These systems form an extensive group of nonlinear systems with PWL vector field and may produce rich set of chaotic attractors. The paper shows how this group can be extended for Lorenz and Rossler systems.

Klíčová slova

Dynamical systems, piecewise-linear, chaos, topological conjugacy

Autoři

PETRŽELA, J., POSPÍŠIL, J., KOLKA, Z., HANUS, S.

Vydáno

1. 10. 2003

ISSN

1109-2769

Periodikum

WSEAS Transactions on Mathematics

Ročník

2

Číslo

4

Stát

Řecká republika

Strany od

264

Strany do

268

Strany počet

5

BibTex

@article{BUT44866,
  author="Jiří {Petržela} and Jiří {Pospíšil} and Zdeněk {Kolka} and Stanislav {Hanus}",
  title="Lorenz and Rossler systems with piecewise-linear vector fields",
  journal="WSEAS Transactions on Mathematics",
  year="2003",
  volume="2",
  number="4",
  pages="264--268",
  issn="1109-2769"
}