Bifurcation analysis of mixed-mode oscillations and Farey trees in an extended Bonhoeffer–van der Pol oscillator

Mixed-mode oscillations from a constrained extended Bonhoeffer–van der Pol oscillator with a diode

(2021) Naohiko Inaba et al.   CHAOS

Nested mixed-mode oscillations, part II: Experimental and numerical study of a classical Bonhoeffer–van der Pol oscillator

(2020) Naohiko Inaba et al.   PHYSICA D-NONLINEAR PHENOMENA

Emergence of Mixed Mode Oscillations in Random Networks of Diverse Excitable Neurons: The Role of Neighbors and Electrical Coupling

(2020) Subrata Ghosh et al.   Frontiers in Computational Neuroscience

Experimental and Numerical Observation of Successive Mixed-Mode Oscillation-Incrementing Bifurcations in an Extended Bonhoeffer–van der Pol Oscillator

(2019) Kuniyasu Shimizu et al.   INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

Symmetric coupling of multiple timescale systems with Mixed-Mode Oscillations and synchronization

(2019) Soledad Fernández-García et al.   PHYSICA D-NONLINEAR PHENOMENA

Nested mixed-mode oscillations

(2019) Naohiko Inaba et al.   PHYSICA D-NONLINEAR PHENOMENA

Sensitivity analysis of the noise-induced oscillatory multistability in Higgins model of glycolysis

(2018) Lev Ryashko   CHAOS

OUP accepted manuscript

(2018)   Progress of Theoretical and Experimental Physics

Bursting Oscillations and Mixed-Mode Oscillations in Driven Liénard System

(2017) S. Leo Kingston et al.   INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

Analysis of mixed-mode oscillation-incrementing bifurcations generated in a nonautonomous constrained Bonhoeffer–van der Pol oscillator

(2017) Takuji Kousaka et al.   PHYSICA D-NONLINEAR PHENOMENA

Hysteretic Dynamics of Multi-Stable Early Afterdepolarisations with Repolarisation Reserve Attenuation: A Potential Dynamical Mechanism for Cardiac Arrhythmias

(2017) Kunichika Tsumoto et al.   Scientific Reports

Piecewise-linear Bonhoeffer–van der Pol dynamics explaining mixed-mode oscillation-incrementing bifurcations

(2016) Kuniyasu Shimizu et al.   Progress of Theoretical and Experimental Physics

Experimental study of complex mixed-mode oscillations generated in a Bonhoeffer-van der Pol oscillator under weak periodic perturbation

(2015) Kuniyasu Shimizu et al.   CHAOS

Mixed mode oscillations in the Bonhoeffer-van der Pol oscillator with weak periodic perturbation

(2014) Ekaterina Kutafina   COMPUTATIONAL & APPLIED MATHEMATICS

Three Time-Scales In An Extended Bonhoeffer–Van Der Pol Oscillator

(2014) P. De Maesschalck et al.   Journal of Dynamics and Differential Equations

Quasi-static transient and mixed mode oscillations induced by fractional derivatives effect on the slow flow near folded singularity

(2014) G. S. M. Ngueuteu et al.   NONLINEAR DYNAMICS

Complex mixed-mode oscillations in a Bonhoeffer–van der Pol oscillator under weak periodic perturbation

(2012) Kuniyasu Shimizu et al.   PHYSICA D-NONLINEAR PHENOMENA

Mixed-Mode Oscillations with Multiple Time Scales

(2012) Mathieu Desroches et al.   SIAM REVIEW

Stern–Brocot trees in the periodicity of mixed-mode oscillations

(2011) Joana G. Freire et al.   PHYSICAL CHEMISTRY CHEMICAL PHYSICS

Mixed-mode oscillations and chaos from a simple second-order oscillator under weak periodic perturbation

(2011) Kuniyasu Shimizu et al.   PHYSICS LETTERS A

Stern–Brocot trees in cascades of mixed-mode oscillations and canards in the extended Bonhoeffer–van der Pol and the FitzHugh–Nagumo models of excitable systems

(2011) Joana G. Freire et al.   PHYSICS LETTERS A

A Geometric Model for Mixed-Mode Oscillations in a Chemical System

(2011) John Guckenheimer et al.   SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS

Period-doubling cascades of canards from the extended Bonhoeffer–van der Pol oscillator

(2010) Munehisa Sekikawa et al.   PHYSICS LETTERS A

Noise-induced mixed-mode oscillations in a relaxation oscillator near the onset of a limit cycle

(2008) Cyrill B. Muratov et al.   CHAOS

Introduction to Focus Issue: Mixed Mode Oscillations: Experiment, Computation, and Analysis

(2008) Morten Brøns et al.   CHAOS

Mixed-Mode Oscillations in Three Time-Scale Systems: A Prototypical Example

(2008) Martin Krupa et al.   SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS