Complex mixed-mode oscillations in a Bonhoeffer–van der Pol oscillator under weak periodic perturbation K Shimizu, Y Saito, M Sekikawa, N Inaba Physica D: Nonlinear Phenomena 241 (18), 1518-1526, 2012 | 67 | 2012 |
Mixed-mode oscillations and chaos from a simple second-order oscillator under weak periodic perturbation K Shimizu, M Sekikawa, N Inaba Physics Letters A 375 (14), 1566-1569, 2011 | 62 | 2011 |
Period-doubling cascades of canards from the extended Bonhoeffer–van der Pol oscillator M Sekikawa, N Inaba, T Yoshinaga, T Hikihara Physics Letters A 374 (36), 3745-3751, 2010 | 43 | 2010 |
Qualitative-modeling-based silicon neurons and their networks T Kohno, M Sekikawa, J Li, T Nanami, K Aihara Frontiers in NEUROSCIENCE 10, 273, 2016 | 37 | 2016 |
Experimental study of complex mixed-mode oscillations generated in a Bonhoeffer-van der Pol oscillator under weak periodic perturbation K Shimizu, M Sekikawa, N Inaba Chaos: An Interdisciplinary Journal of Nonlinear Science 25 (2), 2015 | 30 | 2015 |
Chaos via duck solution breakdown in a piecewise linear van der Pol oscillator driven by an extremely small periodic perturbation M Sekikawa, N Inaba, T Tsubouchi Physica D: Nonlinear Phenomena 194 (3-4), 227-249, 2004 | 28 | 2004 |
Successive torus doubling M Sekikawa, T Miyoshi, N Inaba IEEE Transactions on Circuits and Systems I: Fundamental Theory and …, 2001 | 28 | 2001 |
Bifurcation analysis of four-frequency quasi-periodic oscillations in a three-coupled delayed logistic map S Hidaka, N Inaba, M Sekikawa, T Endo Physics Letters A 379 (7), 664-668, 2015 | 25 | 2015 |
Three-dimensional tori and Arnold tongues M Sekikawa, N Inaba, K Kamiyama, K Aihara Chaos: An Interdisciplinary Journal of Nonlinear Science 24 (1), 2014 | 24 | 2014 |
Sudden change from chaos to oscillation death in the Bonhoeffer–van der Pol oscillator under weak periodic perturbation M Sekikawa, K Shimizu, N Inaba, H Kita, T Endo, K Fujimoto, T Yoshinaga, ... Physical Review E—Statistical, Nonlinear, and Soft Matter Physics 84 (5 …, 2011 | 24 | 2011 |
Bifurcation structure of successive torus doubling M Sekikawa, N Inaba, T Yoshinaga, T Tsubouchi Physics Letters A 348 (3-6), 187-194, 2006 | 20 | 2006 |
Bifurcation analysis of mixed-mode oscillations and Farey trees in an extended Bonhoeffer–van der Pol oscillator M Sekikawa, T Kousaka, T Tsubone, N Inaba, H Okazaki Physica D: Nonlinear Phenomena 433, 133178, 2022 | 19 | 2022 |
Novel bifurcation structure generated in piecewise-linear three-LC resonant circuit and its Lyapunov analysis M Sekikawa, N Inaba, T Tsubouchi, K Aihara Physica D: Nonlinear Phenomena 241 (14), 1169-1178, 2012 | 18 | 2012 |
Analysis of torus breakdown into chaos in a constraint Duffing van der Pol oscillator M Sekikawa, N Inaba, T Tsubouchi, K Aihara International Journal of Bifurcation and Chaos 18 (04), 1051-1068, 2008 | 16 | 2008 |
IEICE Technical Report N Honda, H Yasuda, M Hasegawa MR2005-15 (2005-06)(in Japanese), 2009 | 14* | 2009 |
Bifurcation boundaries of three-frequency quasi-periodic oscillations in discrete-time dynamical system K Kamiyama, N Inaba, M Sekikawa, T Endo Physica D: Nonlinear Phenomena 289, 12-17, 2014 | 13 | 2014 |
Chaos after accumulation of torus doublings M Sekikawa, N Inaba International Journal of Bifurcation and Chaos 31 (01), 2150009, 2021 | 12 | 2021 |
Bifurcation scenarios for a 3D torus and torus-doubling N Inaba, M Sekikawa, Y Shinotsuka, K Kamiyama, K Fujimoto, ... Progress of Theoretical and Experimental Physics 2014 (2), 023A01, 2014 | 12 | 2014 |
Three-torus-causing mechanism in a third-order forced oscillator K Itoh, N Inaba, M Sekikawa, T Endo Progress of Theoretical and Experimental Physics 2013 (9), 093A02, 2013 | 12 | 2013 |
Bifurcation structure of an invariant three-torus and its computational sensitivity generated in a three-coupled delayed logistic map S Hidaka, N Inaba, K Kamiyama, M Sekikawa, T Endo Nonlinear Theory and Its Applications, IEICE 6 (3), 433-442, 2015 | 11 | 2015 |