Algebraic approach for the exploration of the onset of chaos in discrete nonlinear dynamical systems

DOI10.1016/j.cnsns.2012.03.017zbMath1254.37051OpenAlexW1995158891MaRDI QIDQ450465

Rita Palivonaite, Minvydas Ragulskis, Zenonas Navickas, Mantas Landauskas

Publication date: 13 September 2012

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2012.03.017

zbMATH Keywords

Hankel matrixalgebraic decompositiononset of chaosrank of a sequence

Mathematics Subject Classification ID

Computational methods for bifurcation problems in dynamical systems (37M20) Approximation methods and numerical treatment of dynamical systems (37M99)

Related Items (2)

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Uses Software

• TDSL
• Logistic Map
• TSDL

Cites Work

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• Cycle expansions: from maps to turbulence
• The rank of a sequence as an indicator of chaos in discrete nonlinear dynamical systems
• Be careful with the Exp-function method - additional remarks
• Is the Hamiltonian geometrical criterion for chaos always reliable?
• Fibonacci order in the period-doubling cascade to chaos
• Onset of chaos in differential delay equations
• Chaotic attractors generated by iterated function systems: `harmonic decompositions' and the onset of chaos
• A variety of period-doubling universality classes in multi-parameter analysis of transition to chaos
• Universal glassy dynamics at noise-perturbed onset of chaos: a route to ergodicity breakdown
• An algebraic criterion for the onset of chaos in nonlinear dynamical systems
• Pseudospectra of Linear Operators

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