The fractional-order Lorenz-type systems: A review
Ivo Petráš
Abstract
This paper deals with a survey of Lorenz-type systems. For the first time, a new classification of the fractional-order Lorenz-type systems was introduced. Several chaotic systems, as particular cases of the new general form, which belong to large Lorenz family, are presented together with equilibria, eigenvalues as well as attractors of these systems in 3-dimensional state space, respectively.
Topics & Concepts
MathematicsType (biology)Lorenz systemAttractorEigenvalues and eigenvectorsChaoticOrder (exchange)Applied mathematicsPure mathematicsMathematical analysisComputer scienceArtificial intelligenceBiologyEconomicsQuantum mechanicsPhysicsFinanceEcologyChaos control and synchronizationNonlinear Dynamics and Pattern FormationQuantum chaos and dynamical systems