Origin of mixed-mode oscillations through speed escape of attractors in a Rayleigh equation with multiple-frequency excitations

Mixed mode oscillations in a conceptual climate model

(2015) Andrew Roberts et al.   PHYSICA D-NONLINEAR PHENOMENA

Fast-slow analysis for parametrically and externally excited systems with two slow rationally related excitation frequencies

(2015) Xiujing Han et al.   PHYSICAL REVIEW E

Delayed Bifurcations to Repetitive Spiking and Classification of Delay-Induced Bursting

(2014) Xiujing Han et al.   INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

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 bursting patterns in Van der Pol system with two slowly changing external forcings

(2012) XiuJing Han et al.   Science China-Technological Sciences

Mixed-Mode Oscillations in a Multiple Time Scale Phantom Bursting System

(2012) Martin Krupa et al.   SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS

Mixed-Mode Oscillations with Multiple Time Scales

(2012) Mathieu Desroches et al.   SIAM REVIEW

Bursting oscillations in Duffing’s equation with slowly changing external forcing

(2011) Xiujing Han et al.   Communications in Nonlinear Science and Numerical Simulation

Slow passage through canard explosion and mixed-mode oscillations in the forced Van der Pol’s equation

(2011) Xiujing Han et al.   NONLINEAR DYNAMICS

3-torus, quasi-periodic bursting, symmetric subHopf/fold-cycle bursting, subHopf/fold-cycle bursting and their relation

(2010) Xiujing Han et al.   NONLINEAR DYNAMICS

Nonlinear normal modes of a self-excited system driven by parametric and external excitations

(2010) Jerzy Warminski   NONLINEAR DYNAMICS

Singular Hopf bifurcations and mixed-mode oscillations in a two-cell inhibitory neural network

(2010) Rodica Curtu   PHYSICA D-NONLINEAR PHENOMENA

Canards and mixed-mode oscillations in a forest pest model

(2010) Morten Brøns et al.   THEORETICAL POPULATION BIOLOGY

Symmetric bursting of focus–focus type in the controlled Lorenz system with two time scales

(2009) Xiujing Han et al.   PHYSICS LETTERS A

Dynamics of firing patterns, synchronization and resonances in neuronal electrical activities: experiments and analysis

(2008) Qishao Lu et al.   ACTA MECHANICA SINICA

Bursting dynamics due to a homoclinic cascade in Taylor–Couette flow

(2008) J. ABSHAGEN et al.   JOURNAL OF FLUID MECHANICS

Two-parameter bifurcation analysis of firing activities in the Chay neuronal model

(2008) Lixia Duan et al.   NEUROCOMPUTING

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

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