Two novel bursting patterns in the Duffing system with multiple-frequency slow parametric excitations

DOI10.1063/1.5012519zbMath1390.34134OpenAlexW2797546372WikidataQ92448469 ScholiaQ92448469MaRDI QIDQ4565976

Yi Zhang, Qinsheng Bi, Xiujing Han, Juergen Kurths

Publication date: 13 June 2018

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5012519

Mathematics Subject Classification ID

Qualitative investigation and simulation of ordinary differential equation models (34C60) Hysteresis for ordinary differential equations (34C55)

Related Items (10)

Mixed mode oscillations induced by bi-stability and fractal basins in the FGP plate under slow parametric and resonant external excitations ⋮ Complex bursting patterns and fast-slow analysis in a smallest chemical reaction system with two slow parametric excitations ⋮ Distinctive roles of hysteresis, amplitude death and oscillation death in generating fast-slow phenomena in parametrically and externally excited systems ⋮ Spike-adding structure in fold/hom bursters ⋮ Synchronization and spatial patterns in a light-dependent neural network ⋮ Parametric excitation induced extreme events in MEMS and Liénard oscillator ⋮ New Bursting Patterns in the Lü System Driven by Orthogonal Parametric Excitation and External Excitation ⋮ Mixed-mode oscillation in a class of delayed feedback system and multistability dynamic response ⋮ Bursting oscillations in Sprott B system with multi-frequency slow excitations: two novel ``Hopf/Hopf-hysteresis-induced bursting and complex AMB rhythms ⋮ Exploiting multiple-frequency bursting of a shape memory oscillator

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Bursting oscillations in electromechanical systems
• Cross-currents between biology and mathematics: the codimension of pseudo-plateau bursting
• Multiple time scale dynamics
• Control of multistability
• Dynamics and transitions of firing patterns in deterministic and stochastic neuronal systems
• Bursting oscillations in Duffing's equation with slowly changing external forcing
• Fast-slow bursters in the unfolding of a high codimension singularity and the ultra-slow transitions of classes
• Singular Hopf bifurcations and mixed-mode oscillations in a two-cell inhibitory neural network
• Dynamics of firing patterns, synchronization and resonances in neuronal electrical activities: experiments and analysis
• Information processing in noisy burster models of sensory neurons
• Dynamic boundary crisis in the Lorenz-type map
• Mixed-Mode Oscillations with Multiple Time Scales
• Attractors of relaxation discrete-time systems with chaotic dynamics on a fast time scale
• Slow Passage Through a Pitchfork Bifurcation
• Mixed-Mode Oscillations in a Multiple Time Scale Phantom Bursting System
• NEURAL EXCITABILITY, SPIKING AND BURSTING
• Numerical Methods for Ordinary Differential Equations

This page was built for publication: Two novel bursting patterns in the Duffing system with multiple-frequency slow parametric excitations