Hyperchaos of arbitrary order generated by a single feedback circuit, and the emergence of chaotic walks

DOI10.1063/1.1772551zbMath1080.37037OpenAlexW1996983207WikidataQ80784759 ScholiaQ80784759MaRDI QIDQ5705430

Markus Eiswirth, Th.-M. Kruel, René Thomas, Vasileios Basios, Otto E. Rössler

Publication date: 8 November 2005

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1772551

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items (10)

On the hyperchaotic complex Lü system ⋮ Prologue to the special issue of JTB dedicated to the memory of René Thomas (1928--2017). A journey through biological circuits, logical puzzles and complex dynamics ⋮ LABYRINTH CHAOS ⋮ Hyperchaos \& labyrinth chaos: revisiting Thomas-Rössler systems ⋮ Labyrinth chaos: Revisiting the elegant, chaotic, and hyperchaotic walks ⋮ Hyperlabyrinth chaos: From chaotic walks to spatiotemporal chaos ⋮ Dimension of reservoir computers ⋮ Rössler-network with time delay: Univariate impulse pinning synchronization ⋮ A FURTHER UNDERSTANDING OF PHASE SPACE PARTITION DIAGRAMS ⋮ A hyperchaotic complex system generating two-, three-, and four-scroll attractors

Cites Work

• Computation of Lyapunov spectra: Effect of interactive noise and application to a chemical oscillator
• Necessary Conditions for Multistationarity and Stable Periodicity
• Positive and Negative Circuits in Dynamical Systems
• Multistationarity, the basis of cell differentiation and memory. I. Structural conditions of multistationarity and other nontrivial behavior
• Ergodic theory of chaos and strange attractors
• DETERMINISTIC CHAOS SEEN IN TERMS OF FEEDBACK CIRCUITS: ANALYSIS, SYNTHESIS, "LABYRINTH CHAOS"

This page was built for publication: Hyperchaos of arbitrary order generated by a single feedback circuit, and the emergence of chaotic walks