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 | 43 | 2011 |

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 | 38 | 2012 |

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 | 27 | 2004 |

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 | 26 | 2010 |

Successive torus doubling M Sekikawa, T Miyoshi, N Inaba IEEE Transactions on Circuits and Systems I: Fundamental Theory and …, 2001 | 25 | 2001 |

Qualitative-modeling-based silicon neurons and their networks T Kohno, M Sekikawa, J Li, T Nanami, K Aihara Frontiers in neuroscience 10, 273, 2016 | 21 | 2016 |

Three-dimensional tori and Arnold tongues M Sekikawa, N Inaba, K Kamiyama, K Aihara Chaos: An Interdisciplinary Journal of Nonlinear Science 24 (1), 013137, 2014 | 19 | 2014 |

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 | 19 | 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 |

Bifurcation structure of successive torus doubling M Sekikawa, N Inaba, T Yoshinaga, T Tsubouchi Physics Letters A 348 (3-6), 187-194, 2006 | 16 | 2006 |

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 84 (5), 056209, 2011 | 15 | 2011 |

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 | 13 | 2015 |

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), 023105, 2015 | 11 | 2015 |

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), 2014 | 11 | 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), 2013 | 11 | 2013 |

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 | 10 | 2014 |

An integrated circuit design of a silicon neuron and its measurement results M Sekikawa, T Kohno, K Aihara Artificial Life and Robotics 13 (1), 116-119, 2008 | 10 | 2008 |

Chaos disappearance in a piecewise linear Bonhoeffer–van der Pol dynamics with a bistability of stable focus and stable relaxation oscillation under weak periodic perturbation N Inaba, M Sekikawa Nonlinear Dynamics 76 (3), 1711-1723, 2014 | 9 | 2014 |

Revealing the trick of taming chaos by weak harmonic perturbations N Inaba, M Sekikawa, T Endo, T Tsubouchi International Journal of Bifurcation and Chaos 13 (10), 2905-2915, 2003 | 8 | 2003 |

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 | 7 | 2015 |