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

Thomas, R., Basios, V., Eiswirth, M., Kruel, T., & Rössler, O. E. (2004). Hyperchaos of arbitrary order generated by a single feedback circuit, and the emergence of chaotic walks. Chaos, 14(3), 669-674. doi:10.1063/1.1772551.

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 Creators:
Thomas, René, Author
Basios, Vasileios, Author
Eiswirth, Markus1, Author           
Kruel, Thomas, Author
Rössler, Otto E., Author
Affiliations:
1Physical Chemistry, Fritz Haber Institute, Max Planck Society, ou_634546              

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Free keywords: chaos; nonlinear dynamical systems; circuit feedback; Jacobian matrices
 Abstract: It is shown that hyperchaos of order m (i.e., with m positive Lyapunov exponents) can be generated by a single feedback circuit in n = 2m + 1 variables. This feedback circuit is constructed such that, dividing phase space into hypercubes, it changes sign wherever the trajectory passes from one hypercube into an adjacent one. Letting the negative diagonal elements in the Jacobian tend to zero, the dynamics becomes conservative. Instead of chaotic attractors, unbounded chaotic walks are then generated. Here we report chaotic walks emerging from a continuous system rather than the well known chaotic walks present in "Lorentz gas" and "couple map lattices."

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Language(s): eng - English
 Dates: 2004-09-03
 Publication Status: Issued
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Degree: -

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Title: Chaos
  Alternative Title : Chaos
Source Genre: Journal
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Publ. Info: -
Pages: - Volume / Issue: 14 (3) Sequence Number: - Start / End Page: 669 - 674 Identifier: -