The generation of walking patterns is central to bio-inspired robotics and has been attained using methods encompassing diverse numerical as well as analog implementations. Here, we demonstrate the possibility of synthesizing viable gaits using a paradigmatic low-dimensional non-linear entity, namely, the Rössler system, as a dynamical unit. Through a minimalistic network wherein each instance is univocally associated with one leg, it is possible to readily reproduce the canonical gaits as well as generate new ones via changing the coupling scheme and the associated delays. Varying levels of irregularity can be introduced by rendering individual systems or the entire network chaotic. Moreover, through tailored mapping of the state variables to physical angles, adequate leg trajectories can be accessed directly from the coupled systems. The functionality of the resulting generator was confirmed in laboratory experiments by means of an instrumented six-legged ant-like robot. Owing to their simple form, the 18 coupled equations could be rapidly integrated on a bare-metal microcontroller, leading to the demonstration of real-time robot control navigating an arena using a brain–machine interface.
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Generation of diverse insect-like gait patterns using networks of coupled Rössler systems
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December 2020
Research Article|
December 15 2020
Generation of diverse insect-like gait patterns using networks of coupled Rössler systems
Special Collection:
Chaos: From Theory to Applications
Shunki Kitsunai
;
Shunki Kitsunai
1
School of Engineering, Tokyo Institute of Technology
, Yokohama 226-8503, Japan
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Woorim Cho
;
Woorim Cho
1
School of Engineering, Tokyo Institute of Technology
, Yokohama 226-8503, Japan
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Chihiro Sano
;
Chihiro Sano
1
School of Engineering, Tokyo Institute of Technology
, Yokohama 226-8503, Japan
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Supat Saetia
;
Supat Saetia
2
Institute of Innovative Research, Tokyo Institute of Technology
, Yokohama 226-8503, Japan
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Zixuan Qin;
Zixuan Qin
1
School of Engineering, Tokyo Institute of Technology
, Yokohama 226-8503, Japan
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Yasuharu Koike
;
Yasuharu Koike
2
Institute of Innovative Research, Tokyo Institute of Technology
, Yokohama 226-8503, Japan
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Mattia Frasca
;
Mattia Frasca
3
Department of Electrical Electronic and Computer Engineering (DIEEI), University of Catania
, 95131 Catania, Italy
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Natsue Yoshimura
;
Natsue Yoshimura
2
Institute of Innovative Research, Tokyo Institute of Technology
, Yokohama 226-8503, Japan
4
PRESTO, JST
, 332-0012 Saitama, Japan
5
Integrative Brain Imaging Center, National Center of Neurology and Psychiatry
, Tokyo 187-8551, Japan
6
ATR Brain Information Communication Research Laboratory Group
, Kyoto 619-0288, Japan
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Ludovico Minati
Ludovico Minati
a)
2
Institute of Innovative Research, Tokyo Institute of Technology
, Yokohama 226-8503, Japan
7
Center for Mind/Brain Sciences (CIMeC), University of Trento
, 38123 Trento, Italy
a)Author to whom correspondence should be addressed: minati.l.aa@m.titech.ac.jp and lminati@ieee.org. Tel.: +39 335 486 670. URL: http://www.lminati.it
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a)Author to whom correspondence should be addressed: minati.l.aa@m.titech.ac.jp and lminati@ieee.org. Tel.: +39 335 486 670. URL: http://www.lminati.it
Note: This paper is part of the Focus Issue, Chaos: From Theory to Applications.
Citation
Shunki Kitsunai, Woorim Cho, Chihiro Sano, Supat Saetia, Zixuan Qin, Yasuharu Koike, Mattia Frasca, Natsue Yoshimura, Ludovico Minati; Generation of diverse insect-like gait patterns using networks of coupled Rössler systems. Chaos 1 December 2020; 30 (12): 123132. https://doi.org/10.1063/5.0021694
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