Time-delayed optoelectronic oscillators are at the center of a large body of scientific
literature. The complex behavior of these nonlinear oscillators has been thoroughly explored …

This book aims to provide an introduction to dynamical systems with multiple time scales. As
in any overview book, several topics are covered only quite briefly. My aim was to focus on …

We report the existence of bursting oscillations and mixed-mode oscillations in a Liénard
system when it is driven externally by a sinusoidal force. The bursting oscillations transit …

This book is intended as a text for a one-semester course on mathematical and
computational neuroscience for upper-level undergraduate and first-year graduate students …

Canard-induced phenomena have been extensively studied in the last three decades, from
both the mathematical and the application viewpoints. Canards in slow-fast systems with (at …

This paper deals with the existence of bursting, mixed-mode oscillations (MMOs) and
horseshoe chaos in a mixed Rayleigh–Liénard oscillator with asymmetric double well …

In previous works (Inaba and Kousaka, 2020; Inaba and Tsubone, 2020; Kato et al. 2022;
Inaba et al., 2023), significant bifurcation structures referred to as nested mixed-mode …

In the filtered optical feedback system, a part of the emission of the laser is spectrally filtered,
here by a Fabry–Perot (FP) filter, and then fed back into the quantum-dot (QD) laser cavity …

This study investigates chaotic and spiking dynamics of mid-infrared quantum cascade
lasers operating under external optical feedback and emitting at 5.5 μm and 9 μm. In order to …

In previous works [Inaba & Kousaka, 2020; Inaba & Tsubone, 2020; Inaba et al., 2023],
significant bifurcation structures referred to as nested Mixed-Mode Oscillations (MMOs) were …