The purpose of this paper aims to explore the mechanism of several different periodic
bursting patterns based on a Mathieu-van der Pol-Duffing energy harvester with parameter …

The two-variable Bonhoeffer–van der Pol oscillator, which is equivalent to the FitzHugh–
Nagumo model, can be represented by a natural circuit, ie, a circuit consisting only of simple …

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 …

Purpose This paper primarily investigates five novel compound bursting patterns in the
parametrically amplified Mathieu-Duffing nonlinear energy harvesters (PAMDNEH). The five …

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 Fernández-García and Vidal [Physica D 401 (2020) 132129], the authors have analyzed
the synchronization features between two identical 3D slow-fast oscillators, symmetrically …

The forced van der Pol oscillator has played a fundamental role in the development of
nonlinear science. It is notable that the van der Pol oscillator in the absence of an AC forcing …

Regulation of multiple reaction modules is quite common in molecular computation and
synthetic genetic circuits through chemical reactions, as is always a headache for that …

This Letter discusses the complete and in-phase synchronization of canards generated in
identical and nearly identical coupled canard-generating Bonhoeffer-van der Pol oscillators …

In this work, we introduce a novel reduced order model technique, based on the Proper
Orthogonal Decomposition method, for dynamical systems with multiple timescales. The …