Deterministic and random synthesis of discrete chaos review article

DOI10.1016/j.amc.2007.02.142zbMath1193.37047OpenAlexW2161206951WikidataQ58797478 ScholiaQ58797478MaRDI QIDQ990524

Michael Small, Marius-F. Danca, Miguel Romera

Publication date: 1 September 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2007.02.142

zbMATH Keywords

logistic mapdiscrete chaosanticontrolsuperstable orbitssurrogate tests

Mathematics Subject Classification ID

Dynamical systems in control (37N35) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (10)

Difficulties in detecting chaos in a complex system ⋮ Approximating hidden chaotic attractors via parameter switching ⋮ Improvement and empirical research on chaos control by theory of “chaos + chaos = order” ⋮ Parrondo's paradox from classical to quantum: a review ⋮ Finding attractors of continuous-time systems by parameter switching ⋮ Graphical exploration of the connectivity sets of alternated Julia sets ⋮ A switching scheme for synthesizing attractors of dissipative chaotic systems ⋮ Alternate superior Julia sets ⋮ ALTERNATED JULIA SETS AND CONNECTIVITY PROPERTIES ⋮ Random parameter-switching synthesis of a class of hyperbolic attractors

Cites Work

• Can two chaotic systems give rise to order?
• Testing for nonlinearity in time series: the method of surrogate data
• Parrondo's paradox.
• CHAOTIFYING DISCONTINUOUS DYNAMICAL SYSTEMS VIA TIME-DELAY FEEDBACK ALGORITHM
• Chaos synthesis via root locus
• Feedback Anticontrol of Discrete Chaos
• Introduction to anti-control of discrete chaos: theory and applications
• CHAOTIFICATION VIA ARBITRARILY SMALL FEEDBACK CONTROLS: THEORY, METHOD, AND APPLICATIONS
• Unnamed Item

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