Walter, Johannes R.; Günther, Michael; Haeufle, Daniel F. B.; Schmitt, Syn A geometry- and muscle-based control architecture for synthesising biological movement. (English) Zbl 07328321 Biol. Cybern. 115, No. 1, 7-37 (2021). MSC: 92C10 PDF BibTeX XML Cite \textit{J. R. Walter} et al., Biol. Cybern. 115, No. 1, 7--37 (2021; Zbl 07328321) Full Text: DOI
Codianni, Marcello G.; Daun, Silvia; Rubin, Jonathan E. The roles of ascending sensory signals and top-down central control in the entrainment of a locomotor CPG. (English) Zbl 07328312 Biol. Cybern. 114, No. 6, 533-555 (2020). MSC: 92C20 PDF BibTeX XML Cite \textit{M. G. Codianni} et al., Biol. Cybern. 114, No. 6, 533--555 (2020; Zbl 07328312) Full Text: DOI
Culbertson, Jared; Gustafson, Paul; Koditschek, Daniel E.; Stiller, Peter F. Formal composition of hybrid systems. (English) Zbl 1448.18005 Theory Appl. Categ. 35, 1634-1682 (2020). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18B20 18N10 PDF BibTeX XML Cite \textit{J. Culbertson} et al., Theory Appl. Categ. 35, 1634--1682 (2020; Zbl 1448.18005) Full Text: Link
Yeldesbay, Azamat; Daun, Silvia Intra- and intersegmental neural network architectures determining rhythmic motor activity in insect locomotion. (English) Zbl 1451.92033 Commun. Nonlinear Sci. Numer. Simul. 82, Article ID 105078, 21 p. (2020). MSC: 92B20 35Q92 PDF BibTeX XML Cite \textit{A. Yeldesbay} and \textit{S. Daun}, Commun. Nonlinear Sci. Numer. Simul. 82, Article ID 105078, 21 p. (2020; Zbl 1451.92033) Full Text: DOI
DeSimone, Antonio Cell motility and locomotion by shape control. (English) Zbl 1445.76105 Ambrosi, Davide (ed.) et al., The mathematics of mechanobiology. Cetraro, Italy, August 27–31, 2018. Lecture notes given at the CIME course. Cham: Springer. Lect. Notes Math. 2260, 1-41 (2020). MSC: 76Z10 76D07 76D55 74K25 74F10 92C10 PDF BibTeX XML Cite \textit{A. DeSimone}, Lect. Notes Math. 2260, 1--41 (2020; Zbl 1445.76105) Full Text: DOI
Płociniczak, Łukasz; Wróblewska, Zofia Solution and asymptotic analysis of a boundary value problem in the spring-mass model of running. (English) Zbl 1434.34052 Nonlinear Dyn. 99, No. 4, 2693-2705 (2020). MSC: 34E10 34B15 70K60 PDF BibTeX XML Cite \textit{Ł. Płociniczak} and \textit{Z. Wróblewska}, Nonlinear Dyn. 99, No. 4, 2693--2705 (2020; Zbl 1434.34052) Full Text: DOI
Colombo, Leonardo J.; Eyrea Irazú, María Emma Symmetries and periodic orbits in simple hybrid Routhian systems. (English) Zbl 1447.37055 Nonlinear Anal., Hybrid Syst. 36, Article ID 100857, 14 p. (2020). Reviewer: Giovanni Rastelli (Vercelli) MSC: 37J06 37J11 37N10 37N35 34C14 70H33 70K42 70G65 PDF BibTeX XML Cite \textit{L. J. Colombo} and \textit{M. E. Eyrea Irazú}, Nonlinear Anal., Hybrid Syst. 36, Article ID 100857, 14 p. (2020; Zbl 1447.37055) Full Text: DOI
Clark, William; Bloch, Anthony; Colombo, Leonardo A Poincaré-Bendixson theorem for hybrid systems. (English) Zbl 1442.34072 Math. Control Relat. Fields 10, No. 1, 27-45 (2020). Reviewer: Anthony D. Osborne (Keele) MSC: 34C25 34A38 70K05 70K42 34C05 PDF BibTeX XML Cite \textit{W. Clark} et al., Math. Control Relat. Fields 10, No. 1, 27--45 (2020; Zbl 1442.34072) Full Text: DOI
Wang, Lei; Yang, Xiao-Song Singular cycles connecting saddle periodic orbit and saddle equilibrium in piecewise smooth systems. (English) Zbl 1430.37025 Nonlinear Dyn. 97, No. 4, 2469-2481 (2019). MSC: 37C27 37D45 37C29 PDF BibTeX XML Cite \textit{L. Wang} and \textit{X.-S. Yang}, Nonlinear Dyn. 97, No. 4, 2469--2481 (2019; Zbl 1430.37025) Full Text: DOI
Mangan, N. M.; Askham, T.; Brunton, S. L.; Kutz, J. N.; Proctor, J. L. Model selection for hybrid dynamical systems via sparse regression. (English) Zbl 1427.93253 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 475, No. 2223, Article ID 20180534, 22 p. (2019). MSC: 93E12 37M10 93-10 PDF BibTeX XML Cite \textit{N. M. Mangan} et al., Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 475, No. 2223, Article ID 20180534, 22 p. (2019; Zbl 1427.93253) Full Text: DOI
Guckenheimer, John; Javeed, Aurya Locomotion: exploiting noise for state estimation. (English) Zbl 1411.92016 Biol. Cybern. 113, No. 1-2, 93-104 (2019). MSC: 92C10 93E15 93D15 PDF BibTeX XML Cite \textit{J. Guckenheimer} and \textit{A. Javeed}, Biol. Cybern. 113, No. 1--2, 93--104 (2019; Zbl 1411.92016) Full Text: DOI
Patel, Namrata K.; Bhalla, Amneet Pal Singh; Patankar, Neelesh A. A new constraint-based formulation for hydrodynamically resolved computational neuromechanics of swimming animals. (English) Zbl 1416.76222 J. Comput. Phys. 375, 684-716 (2018). MSC: 76M25 76Z10 74F10 92C20 PDF BibTeX XML Cite \textit{N. K. Patel} et al., J. Comput. Phys. 375, 684--716 (2018; Zbl 1416.76222) Full Text: DOI
Bisoffi, Andrea; Forni, Fulvio; Da Lio, Mauro; Zaccarian, Luca Relay-based hybrid control of minimal-order mechanical systems with applications. (English) Zbl 1406.93146 Automatica 97, 104-114 (2018). MSC: 93C30 93C10 93D20 93D05 93B52 70Q05 93C20 PDF BibTeX XML Cite \textit{A. Bisoffi} et al., Automatica 97, 104--114 (2018; Zbl 1406.93146) Full Text: DOI
Yeldesbay, Azamat; Tóth, Tibor; Daun, Silvia The role of phase shifts of sensory inputs in walking revealed by means of phase reduction. (English) Zbl 1402.92126 J. Comput. Neurosci. 44, No. 3, 313-339 (2018). MSC: 92C20 PDF BibTeX XML Cite \textit{A. Yeldesbay} et al., J. Comput. Neurosci. 44, No. 3, 313--339 (2018; Zbl 1402.92126) Full Text: DOI
Proctor, J. L.; Holmes, P. The effects of feedback on stability and maneuverability of a phase-reduced model for cockroach locomotion. (English) Zbl 1400.92050 Biol. Cybern. 112, No. 4, 387-401 (2018). MSC: 92C10 92C20 93B52 93C30 93D15 PDF BibTeX XML Cite \textit{J. L. Proctor} and \textit{P. Holmes}, Biol. Cybern. 112, No. 4, 387--401 (2018; Zbl 1400.92050) Full Text: DOI
Shen, ZhuoHua; Seipel, Justin Effective leg stiffness of animal running and the co-optimization of energetic cost and stability. (English) Zbl 1397.92070 J. Theor. Biol. 451, 57-66 (2018). MSC: 92C10 PDF BibTeX XML Cite \textit{Z. Shen} and \textit{J. Seipel}, J. Theor. Biol. 451, 57--66 (2018; Zbl 1397.92070) Full Text: DOI
Lopes, Gabriel A. D.; Kersbergen, Bart; De Schutter, Bart; van den Boom, Ton; Babuška, Robert Synchronization of a class of cyclic discrete-event systems describing legged locomotion. (English) Zbl 1353.93069 Discrete Event Dyn. Syst. 26, No. 2, 225-261 (2016). MSC: 93C65 93C85 15A80 PDF BibTeX XML Cite \textit{G. A. D. Lopes} et al., Discrete Event Dyn. Syst. 26, No. 2, 225--261 (2016; Zbl 1353.93069) Full Text: DOI
Burden, Samuel A.; Sastry, S. Shankar; Koditschek, Daniel E.; Revzen, Shai Event-selected vector field discontinuities yield piecewise-differentiable flows. (English) Zbl 1353.37166 SIAM J. Appl. Dyn. Syst. 15, No. 2, 1227-1267 (2016). MSC: 37N25 34A36 34A37 34A38 34A12 34C15 92C10 92C20 PDF BibTeX XML Cite \textit{S. A. Burden} et al., SIAM J. Appl. Dyn. Syst. 15, No. 2, 1227--1267 (2016; Zbl 1353.37166) Full Text: DOI arXiv
Long, Tengfei; Jiang, Guirong; Feng, Zhaosheng Dynamics of a damping oscillator with impact and impulsive excitation. (English) Zbl 07246344 J. Appl. Anal. Comput. 5, No. 3, 347-362 (2015). Reviewer: José Angel Cid Araujo (Ourense) MSC: 34C15 34A37 34C25 34C23 PDF BibTeX XML Cite \textit{T. Long} et al., J. Appl. Anal. Comput. 5, No. 3, 347--362 (2015; Zbl 07246344) Full Text: DOI
Shen, ZhuoHua; Seipel, Justin Animals prefer leg stiffness values that may reduce the energetic cost of locomotion. (English) Zbl 1405.92018 J. Theor. Biol. 364, 433-438 (2015). MSC: 92C10 74L15 PDF BibTeX XML Cite \textit{Z. Shen} and \textit{J. Seipel}, J. Theor. Biol. 364, 433--438 (2015; Zbl 1405.92018) Full Text: DOI
Chakraborty, Arindam; Ray, Anirban; Basak, Sankar; Roy Chowdhury, A. On a study of optically coupled memristive Chua circuits – rhythmogenesis and amplitude death. (English) Zbl 1349.34147 Phys. Lett., A 379, No. 22-23, 1418-1424 (2015). MSC: 34C60 34C10 94C05 PDF BibTeX XML Cite \textit{A. Chakraborty} et al., Phys. Lett., A 379, No. 22--23, 1418--1424 (2015; Zbl 1349.34147) Full Text: DOI
Pchelkin, Stepan; Shiriaev, Anton S.; Freidovich, Leonid B.; Mettin, Uwe; Gusev, Sergei V.; Kwon, Woong; Paramonov, Leonid A dynamic human motion: coordination analysis. (English) Zbl 1344.92027 Biol. Cybern. 109, No. 1, 47-62 (2015). MSC: 92C10 PDF BibTeX XML Cite \textit{S. Pchelkin} et al., Biol. Cybern. 109, No. 1, 47--62 (2015; Zbl 1344.92027) Full Text: DOI
Shen, ZhuoHua; Seipel, Justin The leg stiffnesses animals use may improve the stability of locomotion. (English) Zbl 1341.92010 J. Theor. Biol. 377, 66-74 (2015). MSC: 92C10 PDF BibTeX XML Cite \textit{Z. Shen} and \textit{J. Seipel}, J. Theor. Biol. 377, 66--74 (2015; Zbl 1341.92010) Full Text: DOI
Merker, Andreas; Kaiser, Dieter; Hermann, Martin Numerical bifurcation analysis of the bipedal spring-mass model. (English) Zbl 1335.37056 Physica D 291, 21-30 (2015). MSC: 37N05 92C15 34C25 34C60 37M05 PDF BibTeX XML Cite \textit{A. Merker} et al., Physica D 291, 21--30 (2015; Zbl 1335.37056) Full Text: DOI
Gamus, Benny; Or, Yizhar Dynamic bipedal walking under stick-slip transitions. (English) Zbl 1342.70018 SIAM J. Appl. Dyn. Syst. 14, No. 2, 609-642 (2015). MSC: 70E18 34A38 68T40 70E60 PDF BibTeX XML Cite \textit{B. Gamus} and \textit{Y. Or}, SIAM J. Appl. Dyn. Syst. 14, No. 2, 609--642 (2015; Zbl 1342.70018) Full Text: DOI
Grizzle, Jessy W.; Chevallereau, Christine; Sinnet, Ryan W.; Ames, Aaron D. Models, feedback control, and open problems of 3D bipedal robotic walking. (English) Zbl 1297.93120 Automatica 50, No. 8, 1955-1988 (2014). MSC: 93C85 93B52 93B27 93C10 PDF BibTeX XML Cite \textit{J. W. Grizzle} et al., Automatica 50, No. 8, 1955--1988 (2014; Zbl 1297.93120) Full Text: DOI
Holmes, Philip Some joys and trials of mathematical neuroscience. (English) Zbl 1293.92006 J. Nonlinear Sci. 24, No. 2, 201-242 (2014); erratum ibid. 24, No. 2, 243-244 (2014). MSC: 92C20 92-01 34C60 60H10 91E10 PDF BibTeX XML Cite \textit{P. Holmes}, J. Nonlinear Sci. 24, No. 2, 201--242 (2014; Zbl 1293.92006) Full Text: DOI
Daun-Gruhn, Silvia; Tóth, Tibor Istvan An inter-segmental network model and its use in elucidating gait-switches in the stick insect. (English) Zbl 1446.92039 J. Comput. Neurosci. 31, No. 1, 43-60 (2011). MSC: 92B20 92C10 PDF BibTeX XML Cite \textit{S. Daun-Gruhn} and \textit{T. I. Tóth}, J. Comput. Neurosci. 31, No. 1, 43--60 (2011; Zbl 1446.92039)
Daun-Gruhn, Silvia A mathematical modeling study of inter-segmental coordination during stick insect walking. (English) Zbl 1446.92119 J. Comput. Neurosci. 30, No. 2, 255-278 (2011). MSC: 92C20 92C10 PDF BibTeX XML Cite \textit{S. Daun-Gruhn}, J. Comput. Neurosci. 30, No. 2, 255--278 (2011; Zbl 1446.92119)
Günther, Michael; Weihmann, Tom The load distribution among three legs on the wall: model predictions for cockroaches. (English) Zbl 1271.92009 Arch. Appl. Mech. 81, No. 9, 1269-1287 (2011). MSC: 92C10 70E55 PDF BibTeX XML Cite \textit{M. Günther} and \textit{T. Weihmann}, Arch. Appl. Mech. 81, No. 9, 1269--1287 (2011; Zbl 1271.92009) Full Text: DOI
Ankarali, M. Mert; Saranli, Uluç Stride-to-stride energy regulation for robust self-stability of a torque-actuated dissipative spring-mass Hopper. (English) Zbl 1311.70018 Chaos 20, No. 3, 033121, 13 p. (2010). MSC: 70E60 70Q05 92C10 PDF BibTeX XML Cite \textit{M. M. Ankarali} and \textit{U. Saranli}, Chaos 20, No. 3, 033121, 13 p. (2010; Zbl 1311.70018) Full Text: DOI
Proctor, J.; Holmes, P. Reflexes and preflexes: on the role of sensory feedback on rhythmic patterns in insect locomotion. (English) Zbl 1266.92037 Biol. Cybern. 102, No. 6, 513-531 (2010). MSC: 92C20 92C10 93B52 92B25 PDF BibTeX XML Cite \textit{J. Proctor} and \textit{P. Holmes}, Biol. Cybern. 102, No. 6, 513--531 (2010; Zbl 1266.92037) Full Text: DOI
Kukillaya, Raghavendra P.; Holmes, Philip A model for insect locomotion in the horizontal plane: feedforward activation of fast muscles, stability, and robustness. (English) Zbl 1403.92015 J. Theor. Biol. 261, No. 2, 210-226 (2009). MSC: 92C10 92C20 PDF BibTeX XML Cite \textit{R. P. Kukillaya} and \textit{P. Holmes}, J. Theor. Biol. 261, No. 2, 210--226 (2009; Zbl 1403.92015) Full Text: DOI
Wickramasuriya, A.; Schmitt, J. Improving horizontal plane locomotion via leg angle control. (English) Zbl 1400.92054 J. Theor. Biol. 256, No. 3, 414-427 (2009). MSC: 92C10 35Q92 93D05 93B52 PDF BibTeX XML Cite \textit{A. Wickramasuriya} and \textit{J. Schmitt}, J. Theor. Biol. 256, No. 3, 414--427 (2009; Zbl 1400.92054) Full Text: DOI
Carver, Sean G.; Cowan, Noah J.; Guckenheimer, John M. Lateral stability of the spring-mass Hopper suggests a two-step control strategy for running. (English) Zbl 1309.70030 Chaos 19, No. 2, 026106, 14 p. (2009). MSC: 70Q05 92C10 49N90 PDF BibTeX XML Cite \textit{S. G. Carver} et al., Chaos 19, No. 2, 026106, 14 p. (2009; Zbl 1309.70030) Full Text: DOI
Wu, Qidi; Liu, Chengju; Zhang, Jiaqi; Chen, Qijun Survey of locomotion control of legged robots inspired by biological concept. (English) Zbl 1182.93092 Sci. China, Ser. F 52, No. 10, 1715-1729 (2009). MSC: 93C85 68T40 PDF BibTeX XML Cite \textit{Q. Wu} et al., Sci. China, Ser. F 52, No. 10, 1715--1729 (2009; Zbl 1182.93092) Full Text: DOI
Srinivasan, Manoj; Holmes, Philip How well can spring-mass-like telescoping leg models fit multi-pedal sagittal-plane locomotion data? (English) Zbl 1400.92052 J. Theor. Biol. 255, No. 1, 1-7 (2008). MSC: 92C10 PDF BibTeX XML Cite \textit{M. Srinivasan} and \textit{P. Holmes}, J. Theor. Biol. 255, No. 1, 1--7 (2008; Zbl 1400.92052) Full Text: DOI
Proctor, J.; Holmes, P. Steering by transient destabilization in piecewise-holonomic models of legged locomotion. (English) Zbl 1229.70018 Regul. Chaotic Dyn. 13, No. 4, 267-282 (2008). MSC: 70E18 70H03 37J15 PDF BibTeX XML Cite \textit{J. Proctor} and \textit{P. Holmes}, Regul. Chaotic Dyn. 13, No. 4, 267--282 (2008; Zbl 1229.70018) Full Text: DOI
Norris, James A.; Marsh, Anthony P.; Granata, Kevin P.; Ross, Shane D. Revisiting the stability of 2D passive biped walking: local behavior. (English) Zbl 1226.70004 Physica D 237, No. 23, 3038-3045 (2008). MSC: 70E50 70E60 PDF BibTeX XML Cite \textit{J. A. Norris} et al., Physica D 237, No. 23, 3038--3045 (2008; Zbl 1226.70004) Full Text: DOI
Antal, Tibor; Krapivsky, P. L.; Mallick, Kirone Molecular spiders in one dimension. (English) Zbl 1456.92052 J. Stat. Mech. Theory Exp. 2007, No. 8, Article ID P08027, 28 p. (2007). MSC: 92C40 60K35 82C22 82C20 82C23 92D10 PDF BibTeX XML Cite \textit{T. Antal} et al., J. Stat. Mech. Theory Exp. 2007, No. 8, Article ID P08027, 28 p. (2007; Zbl 1456.92052) Full Text: DOI arXiv
Kukillaya, Raghavendra P.; Holmes, Philip J. A hexapedal jointed-leg model for insect locomotion in the horizontal plane. (English) Zbl 1248.92003 Biol. Cybern. 97, No. 5-6, 379-395 (2007). MSC: 92C10 PDF BibTeX XML Cite \textit{R. P. Kukillaya} and \textit{P. J. Holmes}, Biol. Cybern. 97, No. 5--6, 379--395 (2007; Zbl 1248.92003) Full Text: DOI
Seipel, J.; Holmes, P. A simple model for clock-actuated legged locomotion. (English) Zbl 1229.70028 Regul. Chaotic Dyn. 12, No. 5, 502-520 (2007). MSC: 70E60 70B15 70Q05 92C10 93C85 PDF BibTeX XML Cite \textit{J. Seipel} and \textit{P. Holmes}, Regul. Chaotic Dyn. 12, No. 5, 502--520 (2007; Zbl 1229.70028) Full Text: DOI