Detail publikace

Lorenz and Rossler systems with piecewise-linear vector fields

Originální název

Lorenz and Rossler systems with piecewise-linear vector fields

Anglický název

Lorenz and Rossler systems with piecewise-linear vector fields

Jazyk

en

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.

Anglický 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.

Dokumenty

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",
  annote="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.",
  chapter="44866",
  journal="WSEAS Transactions on Mathematics",
  number="4",
  volume="2",
  year="2003",
  month="october",
  pages="264--268",
  type="journal article - other"
}