# A General Approach for Hyperchaotifying n-dimensional
Continuous-Time Systems

Z. Elhadj^{1}, J.C.Sprott^{2}
^{1}Department of Mathematics, University of
Tébessa, (12002), Algeria
E-mail:
zeraoulia@mail.univ-tebessa.dz / zelhadj12@yahoo.fr
^{2}Department of Physics, University of Wisconsin,
Madison, WI 53706, USA
E-mail: sprott@physics.wisc.edu
## Abstract

This paper is concerned with the
rigorous construction of hyperchaotic attractors in
n-dimensional continuous-time systems. The method of analysis is
based on the construction of a matrix controller and by using
the standard dentition of Lyapunov exponents for an
asymptotically stable limit set of the original system. The
relevance of this approach is to show mathematically the
possibility of controlling asymptotically stable limit sets of
n-dimensional continuous-time systems to hyperchaos. This
general approach is valid for all n-dimensional continuous-time
systems with at least one asymptotically stable limit set.

Ref: E. Zeraoulia and

J. C. Sprott, SciTech Journal of
Science & Technology

1,
106-109 (2012)