Reakció és reakció-diffúzió rendszerek nemlineáris dinamikája = Nonlinear dynamics of reaction and reaction-diffusion systems

A 4 ev alatt 5 temakorben folytattunk kutatasokat 1.) Az oszcillacios Belouszov-Zsabotyinszkij reakcio mechanizmusa Metanollal, etilen-glikollal es polietilen-glikollal perturbaltuk a klasszikus (malonsav szubsztratumu) BZ-reakciot. Az eredmenyeket a BZ-reakcio MBM mechanizmusaval modelleztuk. Az oxalsav szubsztratumu oszcillacios BZ-reakciot tanulmanyoztuk kiserletileg, es szimulaciokkal. Felfedeztuk, hogy e rendszerben a brom es az oxalsav lancreakcio reven reagalhatnak egymassal, ahol a lancvivők a karboxil gyok es a brom atom. Nemkatalizalt bromat - szubsztrat reakciokat fedezunk fel a klasszikus BZ-rendszerben. 2.) Kemiai dinamikai rendszerek analizise a parametrikus reprezentacio modszerevel Globalis bifurkacios diagramok szerkesztesere hasznaltuk fel a modszert egy biologiai modellben. 3.) Gerjeszthető dinamikaju es mas ?aktiv? reakcio-diffuzio rendszerek modellezese, kemiai hullamok heterogen kozegekben Allo es mozgo csapadekfrontokat hoztunk letre Liesegang-rendszerekben. Elő sejt kalcium hullamait modelleztunk. 4.) Kemiai hullamok geometriai elmelete Az elmeletet heterogen korgyűrűben keringő hullamokra alkalmaztuk. A Fermat-elvre alapozott aplanatikus feluletek segitsegevel kemiai lencset terveztunk, amit kiserletileg is megvalositottunk. 5.) Elektrolit dioda es tranzisztor rendszerek kutatasa Uj elektrolit diodakat hoztunk letre gyenge lug es gyenge sav felhasznalasaval. Modszert dolgoztunk ki gyengen toltott hidrogelek toltesenek meresere. | Research was made in 5 topics during the 4 years 1.) Mechanism of the oscillatory Belousov-Zhabotinsky reaction The classical BZ reaction (substrate: malonic acid) was perturbed with methanol, ethylene glycol and polyethylene glycol. Results were modelled by the MBM mechanism of the BZ reaction. The oscillatory BZ reaction with oxalic acid substrate was studied experimentally and by simulations. It was discovered that in this system bromine and oxalic acid can react with each other via a chain reaction where the chain carriers are carboxylic radicals and bromine atoms. Noncatalyzed bromate - substrate reactions were discovered in the classical BZ system. 2.) Analysis of chemical dynamic systems with the method of parametric representation The method was applied to construct global bifurcation diagrams in a biological model. 3.) Modelling of excitable and other ?active? reaction-diffusion systems, chemical waves in heterogeneous media Steady and moving precipitate fronts were created in Liesegang systems. We also modelled the calcium waves of a living cell. 4.) Geometric theory of chemical waves The theory was applied for waves rotating in a heterogeneous ring. With the aid of aplanatic surfaces derived by the Fermat principle a chemical lens was designed, which was realized experimentally. 5.) Research of electrolyte diodes and transistors New electrolyte diodes were created applying weak acids and bases. A new method was developed to measure the charge of weakly charged hydrogels.