Approximate analytical solution in slow-fast system based on modified multi-scale method

DOI10.1007/s10483-020-2598-9zbMath1457.70027OpenAlexW3009541798MaRDI QIDQ2659538

Jianhua Tang, Xianghong Li, Yan Li Wang, Yong-Jun Shen

Publication date: 26 March 2021

Published in: AMM. Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-020-2598-9

zbMATH Keywords

slow-fast systemvan der Pol systemmodified multi-scale method (MMSM)multi-scale method (MSM)

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Multiple scale methods for ordinary differential equations (34E13) Systems with slow and fast motions for nonlinear problems in mechanics (70K70)

Cites Work

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• Strong averaging principle for slow-fast SPDEs with Poisson random measures
• Primary resonance of traveling viscoelastic beam under internal resonance
• The mechanism of bursting phenomena in Belousov-Zhabotinsky (BZ) chemical reaction with multiple time scales
• Dissection of a model for neuronal parabolic bursting
• Topological and phenomenological classification of bursting oscillations
• Generic torus canards
• Canard phenomenon in a slow-fast modified Leslie-Gower model
• Dynamic stiffness method for free vibration of an axially moving beam with generalized boundary conditions
• Slowly varying control parameters, delayed bifurcations, and the stability of spikes in reaction-diffusion systems
• Canards, Folded Nodes, and Mixed-Mode Oscillations in Piecewise-Linear Slow-Fast Systems
• Bursting Types and Bifurcation Analysis in the Pre-Bötzinger Complex Respiratory Rhythm Neuron
• Chaos and Three-Dimensional Horseshoes in Slowly Varying Oscillators
• The Forced van der Pol Equation I: The Slow Flow and Its Bifurcations
• Averaging Principle for Nonautonomous Slow-Fast Systems of Stochastic Reaction-Diffusion Equations: The Almost Periodic Case
• Shared Inputs, Entrainment, and Desynchrony in Elliptic Bursters: From Slow Passage to Discontinuous Circle Maps
• NEURAL EXCITABILITY, SPIKING AND BURSTING

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