A soft body as a reservoir: case studies in a dynamic model of octopus-inspired soft robotic arm
Open accessAbstract
The behaviors of the animals or embodied agents are characterized by the dynamic coupling between the brain, the body, and the environment. This implies that control, which is conventionally thought to be handled by the brain or a controller, can partially be outsourced to the physical body and the interaction with the environment. This idea has been demonstrated in a number of recently constructed robots, in particular from the field of "soft robotics". Soft robots are made of a soft material introducing high-dimensionality, non-linearity, and elasticity, which often makes the robots difficult to control. Biological systems such as the octopus are mastering their complex bodies in highly sophisticated manners by capitalizing on their body dynamics. We will demonstrate that the structure of the octopus arm cannot only be exploited for generating behavior but also, in a sense, as a computational resource. By using a soft robotic arm inspired by the octopus we show in a number of experiments how control is partially incorporated into the physical arm's dynamics and how the arm's dynamics can be exploited to approximate non-linear dynamical systems and embed non-linear limit cycles. Future application scenarios as well as the implications of the results for the octopus biology are also discussed.
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Some evidence points to the potential of mechanical properties of the arm to serve a direct computational role.
“Not only can mechanical properties of the arm facilitate computation, some evidence points to the potential of these properties to serve a direct computational role (Nakajima et al., 2013; Nakajima et al., 2014; Nakajima et al., 2015).”
From Lessons for Robotics From the Control Architecture of the Octopus (2022) · cites this paper as Nakajima et al., 2013
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Cites
Yaşlı Kadınlarda Üreme Sağlığı
Kokanalı, D., & Engin Üstün, Y. (n.d.) · DergiPark (Istanbul University) · Cited by 170,090 · see citing works
(1982) · Trends in Neurosciences · doi:10.1016/0166-2236(82)90076-5 · Cited by 9,148 · see citing works
(2023) · doi:10.1126/science · Cited by 6,063 · see citing works
(1996) · Institutional Research Information System University of Turin (University of Turin) · doi:10.1111/j · Cited by 5,486 · see citing works
Maass, W., Natschläger, T., & Markram, H. (2002) · Neural Computation · doi:10.1162/089976602760407955 · Cited by 4,025 · see citing works
Harnessing Nonlinearity: Predicting Chaotic Systems and Saving Energy in Wireless Communication
Jaeger, H., & Haas, H. (2004) · Science · doi:10.1126/science.1091277 · Cited by 3,811 · see citing works
Reservoir computing approaches to recurrent neural network training
Lukoševičius, M., & Jaeger, H. (2009) · Computer Science Review · doi:10.1016/j.cosrev.2009.03.005 · Cited by 2,956 · see citing works
Shepherd, R. F., Ilievski, F., Choi, W., Morin, S. A., Stokes, A. A., Mazzeo, A. D., Chen, X., Wang, M. Y., & Whitesides, G. M. (2011) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1116564108 · Cited by 2,142 · see citing works
Efficient Bipedal Robots Based on Passive-Dynamic Walkers
Collins, S. H., Ruina, A. L., Tedrake, R., & Wisse, M. (2005) · Science · doi:10.1126/science.1107799 · Cited by 1,878 · see citing works
Soft Robotics: Biological Inspiration, State of the Art, and Future Research
Trivedi, D., Rahn, C. D., Kier, W. M., & Walker, I. D. (2008) · Applied Bionics and Biomechanics · doi:10.1080/11762320802557865 · Cited by 1,714 · see citing works
Universal robotic gripper based on the jamming of granular material
Brown, E., Rodenberg, N., Amend, J., Mozeika, A., Steltz, E., Zakin, M. R., Lipson, H., & Jaeger, H. M. (2010) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1003250107 · Cited by 1,606 · see citing works
Self-Organization, Embodiment, and Biologically Inspired Robotics
Pfeifer, R., Lungarella, M., & Fumiya Iida, A. (2007) · Science · doi:10.1126/science.1145803 · Cited by 1,220 · see citing works
Self-citationKandel, E. R., Koester, J. D., Mack, S. H., & Siegelbaum, S. A. (1985) · Cited by 1,180 · see citing works
An experimental unification of reservoir computing methods
Verstraeten, D., Schrauwen, B., D’Haene, M., & Stroobandt, D. (2007) · Neural Networks · doi:10.1016/j.neunet.2007.04.003 · Cited by 1,135 · see citing works
How the Body Shapes the Way We Think: A New View of Intelligence
Pfeifer, R., & Bongard, J. (2006) · Cited by 1,012 · see citing works
Self-citationSoft Robot Arm Inspired by the Octopus
Laschi, C., Cianchetti, M., Mazzolai, B., Margheri, L., Follador, M., & Dario, P. (2012) · Advanced Robotics · doi:10.1163/156855312x626343 · Cited by 980 · see citing works
Tongues, Tentacles and Trunks: the Biomechanics of Movement in Muscular-Hydrostats
KIER, W. M., & SMITH, K. K. (1985) · Zoological Journal of the Linnean Society · doi:10.1111/j.1096-3642.1985.tb01178.x · Cited by 910 · see citing works
Rothwell, J. C. (1982) · Journal of Neurology Neurosurgery & Psychiatry · doi:10.1136/jnnp.45.5.476 · Cited by 749 · see citing works
New results on recurrent network training: unifying the algorithms and accelerating convergence
Atiya, A. F., & Parlos, A. G. (2000) · IEEE Transactions on Neural Networks · doi:10.1109/72.846741 · Cited by 522 · see citing works
From insect vision to robot vision
Franceschini, N. H., Pichon, J. M., & Blanes, C. (1992) · Philosophical Transactions of the Royal Society B Biological Sciences · doi:10.1098/rstb.1992.0106 · Cited by 463 · see citing works
Jaeger, H. (2007) · Scholarpedia · doi:10.4249/scholarpedia.2330 · Cited by 459 · see citing works
The challenges ahead for bio-inspired 'soft' robotics
Pfeifer, R., Lungarella, M., & Fumiya Iida, A. (2012) · Communications of the ACM · doi:10.1145/2366316.2366335 · Cited by 383 · see citing works
Self-citationAn overview of reservoir computing: theory, applications and implementations
Schrauwen, B., Verstraeten, D., & Campenhout, J. V. (2007) · Ghent University Academic Bibliography (Ghent University) · Cited by 369 · see citing works
Ijspeert, A. J. (2001) · Biological Cybernetics · doi:10.1007/s004220000211 · Cited by 350 · see citing works
Towards a theoretical foundation for morphological computation with compliant bodies
Häuser, H., Ijspeert, A. J., Füchslin, R. M., Pfeifer, R., & Maass, W. (2011) · Biological Cybernetics · doi:10.1007/s00422-012-0471-0 · Cited by 331 · see citing works
Self-citationControl of octopus arm extension by a peripheral motor program
Sumbre, G., Gutfreund, Y., Fiorito, G., Flash, T., & Hochner, B. (2001) · Science · doi:10.1126/science.1060976 · Cited by 319 · see citing works
Skeletal Muscle Structure, Function, and Plasticity: The Physiological Basis of Rehabilitation
Lieber, R. L. (2002) · Medical Entomology and Zoology · Cited by 313 · see citing works
Pattern generators with sensory feedback for the control of quadruped locomotion
Righetti, L., & Ijspeert, A. J. (2008) · Proceedings - IEEE International Conference on Robotics and Automation/Proceedings · doi:10.1109/robot.2008.4543306 · Cited by 257 · see citing works
Design of a biomimetic robotic octopus arm
Laschi, C., Mazzolai, B., Mattoli, V., Cianchetti, M., & Dario, P. (2009) · Bioinspiration & Biomimetics · doi:10.1088/1748-3182/4/1/015006 · Cited by 253 · see citing works
Blickhan, R., Seyfarth, A., Geyer, H., et al. (2006) · Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences · doi:10.1098/rsta.2006.1911 · Cited by 243 · see citing works
Shinohara, M., Sabra, K. G., Gennisson, J., Fink, M., & Tanter, M. (2010) · Muscle & Nerve · doi:10.1002/mus.21723 · Cited by 236 · see citing works
Dynamic Model of the Octopus Arm. I. Biomechanics of the Octopus Reaching Movement
Yekutieli, Y., Sagiv-Zohar, R., Aharonov, R., Engel, Y., Hochner, B., & Flash, T. (2005) · Journal of Neurophysiology · doi:10.1152/jn.00684.2004 · Cited by 221 · see citing works
Trunks, Tongues, and Tentacles: Moving with Skeletons of Muscle
Smith, K. K., & Kier, W. M. (1989) · American Scientist · Cited by 214 · see citing works
JSEL: Jamming Skin Enabled Locomotion
Steltz, E., Mozeika, A., Rodenberg, N., Brown, E., & Jaeger, H. M. (2009) · IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS) · doi:10.1109/iros.2009.5354790 · Cited by 208 · see citing works
Organization of Octopus Arm Movements: A Model System for Studying the Control of Flexible Arms
Gutfreund, Y., Flash, T., Yarom, Y., Fiorito, G., Segev, I., & Hochner, B. (1996) · Journal of Neuroscience · doi:10.1523/jneurosci.16-22-07297.1996 · Cited by 164 · see citing works
Motor control of flexible octopus arms
Sumbre, G., Fiorito, G., Flash, T., & Hochner, B. (2005) · Nature · doi:10.1038/433595a · Cited by 160 · see citing works
Patterns of Arm Muscle Activation Involved in Octopus Reaching Movements
Gutfreund, Y., Flash, T., Fiorito, G., & Hochner, B. (1998) · Journal of Neuroscience · doi:10.1523/jneurosci.18-15-05976.1998 · Cited by 142 · see citing works
Locomotion Without a Brain: Physical Reservoir Computing in Tensegrity Structures
Caluwaerts, K., D’Haene, M., Verstraeten, D., & Schrauwen, B. (2012) · Artificial Life · doi:10.1162/artl_a_00080 · Cited by 131 · see citing works
The role of feedback in morphological computation with compliant bodies
Häuser, H., Ijspeert, A. J., Füchslin, R. M., Pfeifer, R., & Maass, W. (2012) · Biological Cybernetics · doi:10.1007/s00422-012-0516-4 · Cited by 119 · see citing works
Self-citationDynamic modeling and control of an octopus inspired multiple continuum arm robot
Kang, R., Branson, D. T., Guglielmino, E., & Caldwell, D. G. (2012) · Computers & Mathematics with Applications · doi:10.1016/j.camwa.2012.03.018 · Cited by 92 · see citing works
Self-citationSwitching Skeletons: Hydrostatic Support in Molting Crabs
Taylor, J. R. A., & Kier, W. M. (2003) · Science · doi:10.1126/science.1085987 · Cited by 82 · see citing works
Morphological Computation and Morphological Control: Steps Toward a Formal Theory and Applications
Füchslin, R. M., Dzyakanchuk, A., Flumini, D., Häuser, H., Hunt, K. J., Luchsinger, R. H., Reller, B., Scheidegger, S., & Walker, R. D. (2012) · Artificial Life · doi:10.1162/artl_a_00079 · Cited by 82 · see citing works
Dynamic Model of the Octopus Arm. II. Control of Reaching Movements
Yekutieli, Y., Sagiv-Zohar, R., Hochner, B., & Flash, T. (2005) · Journal of Neurophysiology · doi:10.1152/jn.00685.2004 · Cited by 81 · see citing works
Reflexes and preflexes: on the role of sensory feedback on rhythmic patterns in insect locomotion
Proctor, J. L., & Holmes, P. J. (2010) · Biological Cybernetics · doi:10.1007/s00422-010-0383-9 · Cited by 61 · see citing works
Dynamic model of a hyper-redundant, octopus-like manipulator for underwater applications
Kang, R., Kazakidi, A., Guglielmino, E., et al. (2011) · IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS) · doi:10.1109/iros.2011.6094468 · Cited by 61 · see citing works
Self-citationZheng, T., Branson, D. T., Kang, R., et al. (2012) · Proceedings - IEEE International Conference on Robotics and Automation/Proceedings · doi:10.1109/icra.2012.6224685 · Cited by 55 · see citing works
Self-citationFast muscle in squid (Loligo pealei): contractile properties of a specialized muscle fibre type
Kier, W. M., & Curtin, N. A. (2002) · Journal of Experimental Biology · doi:10.1242/jeb.205.13.1907 · Cited by 52 · see citing works
Computing with a muscular-hydrostat system
Nakajima, K., Häuser, H., Kang, R., Guglielmino, E., Caldwell, D. G., & Pfeifer, R. (2013) · Proceedings - IEEE International Conference on Robotics and Automation/Proceedings · doi:10.1109/icra.2013.6630770 · Cited by 44 · see citing works
Self-citationSAITO, A. (2003) · Rigakuryoho Kagaku · doi:10.1589/rika.18.49 · Cited by 32 · see citing works
Timing-based control via echo state network for soft robotic arm
Kuwabara, J., Nakajima, K., Kang, R., et al. (2012) · 2022 International Joint Conference on Neural Networks (IJCNN) · doi:10.1109/ijcnn.2012.6252774 · Cited by 29 · see citing works
Self-citationOctopus-inspired sensorimotor control of a multi-arm soft robot
Li, T., Nakajima, K., Calisti, M., Laschi, C., & Pfeifer, R. (2012) · IEEE International Conference on Mechatronics and Automation (ICMA) · doi:10.1109/icma.2012.6283271 · Cited by 29 · see citing works
Self-citationFUNCTIONAL MORPHOLOGY OF THE NEUROMUSCULAR SYSTEM OF THE oCtoPuS VulGariS ARM
Hochner, B. (2012) · Cited by 28 · see citing works
Hydrodynamic analysis of octopus-like robotic arms
Kazakidi, A., Vavourakis, V., Pateromichelakis, N., Ekaterinaris, J. A., & Tsakiris, D. P. (2012) · Proceedings - IEEE International Conference on Robotics and Automation/Proceedings · doi:10.1109/icra.2012.6225037 · Cited by 22 · see citing works
Biorobotic Investigation on the Muscle Structure of an Octopus Tentacle
Mazzolai, B., Laschi, C., Cianchetti, M., et al. (2007) · Conference proceedings · doi:10.1109/iembs.2007.4352578 · Cited by 22 · see citing works
Online learning for behavior switching in a soft robotic arm
Li, T., Nakajima, K., & Pfeifer, R. (2013) · Proceedings - IEEE International Conference on Robotics and Automation/Proceedings · doi:10.1109/icra.2013.6630738 · Cited by 19 · see citing works
Self-citationLi, T., Nakajima, K., Kuba, M. J., et al. (2012) · Zurich Open Repository and Archive (University of Zurich) · Cited by 19 · see citing works
Self-citationMorphology-Induced Collective Behaviors: Dynamic Pattern Formation in Water-Floating Elements
Nakajima, K., Ngouabeu, A. M. T., Miyashita, S., et al. (2012) · PLoS ONE · doi:10.1371/journal.pone.0037805 · Cited by 16 · see citing works
Self-citationGeneration of primitive behaviors for non-linear hyperelastic octopus-inspired robotic arm
Vavourakis, V., Bampasakis, D., Kazakidi, A., et al. (2012) · 2022 9th IEEE RAS/EMBS International Conference for Biomedical Robotics and Biomechatronics (BioRob) · doi:10.1109/biorob.2012.6290684 · Cited by 16 · see citing works
Information theoretic analysis on a soft robotic arm inspired by the octopus
Nakajima, K., Li, T., Sumioka, H., et al. (2011) · IEEE International Conference on Robotics and Biomimetics (ROBIO) · doi:10.1109/robio.2011.6181271 · Cited by 14 · see citing works
Self-citationThe body as a reservoir: locomotion and sensing with linear feedback
Caluwaerts, K., & Schrauwen, B. (2011) · Ghent University Academic Bibliography (Ghent University) · Cited by 14 · see citing works
A nonlinear dynamic finite element approach for simulating muscular hydrostats
Vavourakis, V., Kazakidi, A., Tsakiris, D. P., et al. (2012) · Computer Methods in Biomechanics & Biomedical Engineering · doi:10.1080/10255842.2012.723702 · Cited by 13 · see citing works
Local information transfer in soft robotic arm
Nakajima, K., Li, T., Kang, R., et al. (2012) · IEEE International Conference on Robotics and Biomimetics (ROBIO) · doi:10.1109/robio.2012.6491145 · Cited by 11 · see citing works
Self-citationComputation with mechanically coupled springs for compliant robots
Sumioka, H., Häuser, H., & Pfeifer, R. (2011) · IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS) · doi:10.1109/iros.2011.6095023 · Cited by 9 · see citing works
Self-citationComputation with mechanically coupled springs for compliant robots
Sumioka, H., Häuser, H., & Pfeifer, R. (2011) · IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS) · doi:10.1109/iros.2011.6048672 · Cited by 8 · see citing works
Self-citationNakajima, K., Li, T., & Pfeifer, R. (2011) · Zurich Open Repository and Archive (University of Zurich) · doi:10.5167/uzh-55626 · Cited by 6 · see citing works
Self-citationNakajima, K., Li, T., Kuppuswamy, N. S., et al. (2011) · International Conference on Advanced Robotics (ICAR) · doi:10.1109/icar.2011.6088590 · Cited by 5 · see citing works
Self-citationFast muscle in squid (Loligo pealei): contractile properties of a specialized muscle fibre type
The University of North Carolina at Chapel Hill University Libraries (2021) · Carolina Digital Repository (University of North Carolina at Chapel Hill) · doi:10.17615/eamj-1204 · Cited by 4 · see citing works
Li, T., Nakajima, K., & Cianchetti, M. (2011) · Zurich Open Repository and Archive (University of Zurich) · doi:10.5167/uzh-55688 · Cited by 3 · see citing works
Self-citationOnline learning technique for behavior switching in a soft robotic arm
Li, T., Nakajima, K., & Pfeifer, R. (2013) · Zurich Open Repository and Archive (University of Zurich) · doi:10.5167/uzh-91626 · Cited by 3 · see citing works
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Research works printed but not linked: 1
- Khalil H. K. (2002). Nonlinear Systems. Upper Saddle River, NJ: Prentice Hall
Cited by
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Harnessing Disordered-Ensemble Quantum Dynamics for Machine Learning
Fujii, K., & Nakajima, K. (2017) · Physical Review Applied · doi:10.1103/physrevapplied.8.024030 · Cited by 337 · see citing works
Self-citationInformation processing via physical soft body
Nakajima, K., Hauser, H., Li, T., & Pfeifer, R. (2015) · Scientific Reports · doi:10.1038/srep10487 · Cited by 324 · see citing works
Self-citationExploiting short-term memory in soft body dynamics as a computational resource
Nakajima, K., Li, T., Hauser, H., & Pfeifer, R. (2014) · Journal of The Royal Society Interface · doi:10.1098/rsif.2014.0437 · Cited by 128 · see citing works
Self-citationLessons for Robotics From the Control Architecture of the Octopus
Sivitilli, D. M., Smith, J. R., & Gire, D. H. (2022) · Frontiers in Robotics and AI · doi:10.3389/frobt.2022.862391 · Cited by 13 · see citing works
- Authors
- Nakajima, K., Hauser, H., Kang, R., Guglielmino, E., Caldwell, D. G., & Pfeifer, R.
- Affiliations
- University of Zurich (CH)
- Italian Institute of Technology (IT)
- Corresponding author
- Nakajima, Kohei
- Venue
- Frontiers in Computational Neuroscience
- Publisher
- Frontiers Media SA
- Published
- 2013
- Volume
- 7
- Pages
- 91-91
- ISSN
- 1662-5188 (ISSN-L)
- PMC
- PMC3705147
- OpenAlex
- W1986237366
- Cited by
- 180
- References
- 69
- Citations by year
- 2026: 18 · 2025: 19 · 2024: 19 · 2023: 21 · 2022: 18 · 2021: 17 · 2020: 8 · 2019: 18 · 2018: 16 · 2017: 7 · 2016: 6 · 2015: 7 · 2014: 5 · 2013: 1
- FWCI
- 3.49
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Licence
- cc-by
- Locations
- Frontiers in Computational Neuroscience (publishedVersion, cc-by)
- Europe PMC (PubMed Central) (publishedVersion, cc-by)
- PubMed Central (publishedVersion, cc-by)
- PubMed (publishedVersion)
- DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
- Bristol Research (University of Bristol) (submittedVersion)
- Repository for Publications and Research Data (ETH Zurich) (submittedVersion, cc-by)
- ETH Zürich Research Collection (cc-by)
- Funders
- European Commission (231608)
- Japan Society for the Promotion of Science
- Topics
- Physical Sciences › Engineering › Biomedical Engineering › Soft Robotics and Applications
- Physical Sciences › Engineering › Biomedical Engineering › Robotic Locomotion and Control
- Physical Sciences › Engineering › Mechanical Engineering › Advanced Materials and Mechanics
- Keywords
- soft robotics, octopus arm, octopus-inspired robot, body dynamics, dynamic control, nonlinear dynamical systems, limit cycles, embodied control, soft materials
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