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Tourbillion in the Phase Space of the Bray-Liebhafsky Nonlinear Oscillatory Reaction and Related Multiple-Time-Scale Model
MATCH Communications in Mathematical and in Computer Chemistry (2013)
  • Zeljko D Cupic, Institute of Chemistry, Technology and Metallurgy
Abstract

The mixed-mode dynamical states found experimentally in the concentration phase space of the iodate catalyzed hydrogen peroxide decomposition (The Bray-Liebhafsky oscillatory reaction) are discussed theoretically in a related multiple-time-scale model, from the viewpoint of tourbillion. With aim to explain the mixed-mode oscillations obtained by numerical simulations of the various dynamical states of a model for the Bray-Liebhafsky reaction under CSTR conditions, the folded singularity points on the critical manifold of the full system and Andronov-Hopf bifurcation of the fast subsystem are calculated. The interaction between those singularities causes occurrence of tourbillion structure.

Keywords
  • nonlinear dynamics,
  • tourbillion,
  • Bray-Liebhafsky,
  • multiple-time-scale
Publication Date
2013
Citation Information
Zeljko D Cupic. "Tourbillion in the Phase Space of the Bray-Liebhafsky Nonlinear Oscillatory Reaction and Related Multiple-Time-Scale Model" MATCH Communications in Mathematical and in Computer Chemistry Vol. 69 (2013)
Available at: http://works.bepress.com/zeljko_cupic/27/