The mechanism of bursting phenomena in Belousov-Zhabotinsky (BZ) chemical reaction with multiple time scales

DOI10.1007/s11431-010-0082-8zbMath1201.37121OpenAlexW2160484559MaRDI QIDQ987291

Qinsheng Bi

Publication date: 13 August 2010

Published in: Science China. Technological Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11431-010-0082-8

zbMATH Keywords

Belousov-Zhabotinsky reactionmultiple time scalesbifurcation mechanismbursting phenomenon

Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20) Applications of dynamical systems (37N99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Bifurcation problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K50) Dynamic equations on time scales or measure chains (34N05)

Related Items (4)

Approximate analytical solution in slow-fast system based on modified multi-scale method ⋮ Dynamic analysis and bursting oscillation control of fractional-order permanent magnet synchronous motor system ⋮ Bursting Oscillations as well as the Mechanism in a Filippov System with Parametric and External Excitations ⋮ Bifurcation Analysis of a Belousov–Zhabotinsky Reaction Model

Cites Work

• Multiple time-scales in nonlinear flight mechanics: diagnosis and modeling
• Ghost manifolds in slow-fast systems, with applications to unsteady fluid flow separation
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Chaos to periodicity and periodicity to chaos by periodic perturbations in the Belousov--Zhabotinsky reaction
• Exact slow-fast decomposition of the nonlinear singularly perturbed optimal control problem
• How fast elements can affect slow dynamics
• On shock solutions to balance equations for slow and fast chemical reaction
• Long tailed maps as a representation of mixed mode oscillatory systems
• NEURAL EXCITABILITY, SPIKING AND BURSTING

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