Canard explosion and excitation in a model of the Belousov-Zhabotinskii reaction

M Brøns, K Bar-Eli - The Journal of Physical Chemistry, 1991 - ACS Publications
Introduction In many cases, chemical oscillations either start abruptly and go directly to large
relaxation oscillations or change suddenly, within verysmall control parameter range, from …

[图书][B] Origins: Brain and self organization

KH Pribram - 2018 - taylorfrancis.com
The result of the second Appalachian conference on neurodynamics, this volume focuses on
the problem of" order," its origins, evolution, and future. Central to this concern lies our …

Canard phenomenon and localization of oscillations in the Belousov–Zhabotinsky reaction with global feedback

HG Rotstein, N Kopell, AM Zhabotinsky… - The Journal of chemical …, 2003 - pubs.aip.org
The occurrence of spatial domains of large amplitude oscillation on a background of small
amplitude oscillation in a reaction–diffusion system is called localization. We study …

Circle maps and the Devil's staircase in a periodically perturbed Oregonator

M Brøns, P Gross, K Bar-Eli - International Journal of Bifurcation and …, 1997 - World Scientific
Markman and Bar-Eli has studied a periodically forced Oregonator numerically and found a
parameter range with the following properties:(1) Only periodic solutions are found in …

Periodic perturbations of an oscillatory chemical system

G Markman, K Bar-Eli - The Journal of Physical Chemistry, 1994 - ACS Publications
The Oregonator model in a continuously stirred tank reactor has been subjected to periodic
modulation of the input and output flows of materials. Two cases has been investigated. In …

Dynamic transitions in a model of the hypothalamic-pituitary-adrenal axis

Ž Čupić, VM Marković, S Maćešić… - … Journal of Nonlinear …, 2016 - pubs.aip.org
Dynamic properties of a nonlinear five-dimensional stoichiometric model of the
hypothalamic-pituitary-adrenal (HPA) axis were systematically investigated. Conditions …

Oscillatory motion of sheared nanorods beyond the nematic phase

DA Strehober, H Engel, SHL Klapp - … Review E—Statistical, Nonlinear, and Soft …, 2013 - APS
We study the role of the control parameter triggering nematic order (temperature or
concentration) on the dynamical behavior of a system of nanorods under shear. Our study is …

Dynamic transitions in the Bray–Liebhafsky oscillating reaction. Effect of hydrogen peroxide and temperature on bifurcation

N Pejić, L Kolar-Anić, J Maksimović, M Janković… - Reaction Kinetics …, 2016 - Springer
The temporal dynamics of the Bray–Liebhafsky reaction (iodate-based catalytic
decomposition of hydrogen peroxide in an acidic aqueous solution) was experimentally …

Complex bifurcations in the oscillatory reaction model

B Stanković, Ž Čupić, S Maćešić, N Pejić… - Chaos, Solitons & …, 2016 - Elsevier
The mixing of different types of bifurcations, ie supercritical Andronov–Hopf (SAH), double
loop (DL) and saddle-loop (SL) bifurcations in the vicinity of their total annihilation, is …

Dynamics of nearly inviscid Faraday waves in almost circular containers

M Higuera, E Knobloch, JM Vega - Physica D: Nonlinear Phenomena, 2005 - Elsevier
Parametrically driven surface gravity-capillary waves in an elliptically distorted circular
cylinder are studied. In the nearly inviscid regime, the waves couple to a streaming flow …