Adomian Decomposition for Studying Hyperchaotic 2D-Scroll Attractors with Application to Synchronization

Donato CAFAGNA; Giuseppe GRASSI

doi:10.1093/ietfec/e89-a.10.2752

Adomian Decomposition for Studying Hyperchaotic 2D-Scroll Attractors with Application to Synchronization

Donato CAFAGNA, Giuseppe GRASSI

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In this paper the attention is focused on the numerical study of hyperchaotic 2D-scroll attractors via the Adomian decomposition method. The approach, which provides series solutions of the system equations, is first applied to weakly-coupled Chua's circuits with Hermite interpolating polynomials. Then the method is successfully utilized for achieving hyperchaos synchronization of two coupled Chua's circuits. The reported examples show that the approach presents two main features, i.e., the system nonlinearity is preserved and the chaotic solution is provided in a closed form.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E89-A No.10 pp.2752-2758

Publication Date: 2006/10/01

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Online ISSN: 1745-1337

DOI: 10.1093/ietfec/e89-a.10.2752

Type of Manuscript: Special Section PAPER (Special Section on Nonlinear Theory and its Applications)

Category: Oscillation, Dynamics and Chaos

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Donato CAFAGNA, Giuseppe GRASSI, "Adomian Decomposition for Studying Hyperchaotic 2D-Scroll Attractors with Application to Synchronization" in IEICE TRANSACTIONS on Fundamentals, vol. E89-A, no. 10, pp. 2752-2758, October 2006, doi: 10.1093/ietfec/e89-a.10.2752.
Abstract: In this paper the attention is focused on the numerical study of hyperchaotic 2D-scroll attractors via the Adomian decomposition method. The approach, which provides series solutions of the system equations, is first applied to weakly-coupled Chua's circuits with Hermite interpolating polynomials. Then the method is successfully utilized for achieving hyperchaos synchronization of two coupled Chua's circuits. The reported examples show that the approach presents two main features, i.e., the system nonlinearity is preserved and the chaotic solution is provided in a closed form.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e89-a.10.2752/_p

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@ARTICLE{e89-a_10_2752,
author={Donato CAFAGNA, Giuseppe GRASSI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Adomian Decomposition for Studying Hyperchaotic 2D-Scroll Attractors with Application to Synchronization},
year={2006},
volume={E89-A},
number={10},
pages={2752-2758},
abstract={In this paper the attention is focused on the numerical study of hyperchaotic 2D-scroll attractors via the Adomian decomposition method. The approach, which provides series solutions of the system equations, is first applied to weakly-coupled Chua's circuits with Hermite interpolating polynomials. Then the method is successfully utilized for achieving hyperchaos synchronization of two coupled Chua's circuits. The reported examples show that the approach presents two main features, i.e., the system nonlinearity is preserved and the chaotic solution is provided in a closed form.},
keywords={},
doi={10.1093/ietfec/e89-a.10.2752},
ISSN={1745-1337},
month={October},}

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TY - JOUR
TI - Adomian Decomposition for Studying Hyperchaotic 2D-Scroll Attractors with Application to Synchronization
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2752
EP - 2758
AU - Donato CAFAGNA
AU - Giuseppe GRASSI
PY - 2006
DO - 10.1093/ietfec/e89-a.10.2752
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E89-A
IS - 10
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - October 2006
AB - In this paper the attention is focused on the numerical study of hyperchaotic 2D-scroll attractors via the Adomian decomposition method. The approach, which provides series solutions of the system equations, is first applied to weakly-coupled Chua's circuits with Hermite interpolating polynomials. Then the method is successfully utilized for achieving hyperchaos synchronization of two coupled Chua's circuits. The reported examples show that the approach presents two main features, i.e., the system nonlinearity is preserved and the chaotic solution is provided in a closed form.
ER -