Title of article
Algebraic approach for the exploration of the onset of chaos in discrete nonlinear dynamical systems
Author/Authors
Ragulskis، نويسنده , , Minvydas and Navickas، نويسنده , , Zenonas and Palivonaite، نويسنده , , Rita and Landauskas، نويسنده , , Mantas، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2012
Pages
12
From page
4304
To page
4315
Abstract
An algebraic approach based on the rank of a sequence is proposed for the exploration of the onset of chaos in discrete nonlinear dynamical systems. The rank of the partial solution is identified and a special technique based on Hankel matrices is used to decompose the solution into algebraic primitives comprising roots of the modified characteristic equation. The distribution of roots describes the dynamical complexity of a solution and is used to explore properties of the nonlinear system and the onset of chaos.
Keywords
Hankel matrix , Rank of a sequence , Algebraic decomposition , Onset of chaos
Journal title
Communications in Nonlinear Science and Numerical Simulation
Serial Year
2012
Journal title
Communications in Nonlinear Science and Numerical Simulation
Record number
1537362
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