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    The Mathematical Description for the Electropolymerization of Electrochemically Modified Monomers in Galvanostatic Mode

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    ΠœΠ°Ρ‚Π΅ΠΌΠ°Ρ‚ΠΈΡ‡Π΅ΡΠΊΠΈ описана систСма с элСктрополимСризациСй элСктрохимичСски ΠΌΠΎΠ΄ΠΈΡ„ΠΈΡ†ΠΈΡ€ΠΎΠ²Π°Π½Π½Ρ‹Ρ… органичСских ΠΌΠΎΠ½ΠΎΠΌΠ΅Ρ€ΠΎΠ² Π² Π³Π°Π»ΡŒΠ²Π°Π½ΠΎΡΡ‚Π°Ρ‚ΠΈΡ‡Π΅ΡΠΊΠΎΠΌ Ρ€Π΅ΠΆΠΈΠΌΠ΅. Π‘ΠΎΠΎΡ‚Π²Π΅Ρ‚ΡΡ‚Π²ΡƒΡŽΡ‰Π°Ρ матСматичСская модСль Π±Ρ‹Π»Π° ΠΏΡ€ΠΎΠ°Π½Π°Π»ΠΈΠ·ΠΈΡ€ΠΎΠ²Π°Π½Π° с ΠΏΠΎΠΌΠΎΡ‰ΡŒΡŽ Π»ΠΈΠ½Π΅ΠΉΠ½ΠΎΠΉ Ρ‚Π΅ΠΎΡ€ΠΈΠΈ устойчивости ΠΈ Π±ΠΈΡ„ΡƒΡ€ΠΊΠ°Ρ†ΠΈΠΎΠ½Π½ΠΎΠ³ΠΎ Π°Π½Π°Π»ΠΈΠ·Π°. Показано, Ρ‡Ρ‚ΠΎ ΠΏΡ€ΠΈΡ‡ΠΈΠ½ΠΎΠΉ Π°Π²Ρ‚ΠΎΠΊΠΎΠ»Π΅Π±Π°Ρ‚Π΅Π»ΡŒΠ½ΠΎΠ³ΠΎ повСдСния Π² Ρ‚Π°ΠΊΠΈΡ… систСмах ΠΌΠΎΠ³ΡƒΡ‚ Π±Ρ‹Ρ‚ΡŒ влияния Π½Π° Π”Π­Π‘ элСктрохимичСских Ρ€Π΅Π°ΠΊΡ†ΠΈΠΉ Π½Π° ΠΏΠ΅Ρ€Π²ΠΎΠΉ ΠΈ Π²Ρ‚ΠΎΡ€ΠΎΠΉ стадиях. Условия устойчивости стационарного состояния, Π° Ρ‚Π°ΠΊΠΆΠ΅ ΠΌΠΎΠ½ΠΎΡ‚ΠΎΠ½Π½ΠΎΠΉ нСустойчивости Ρ‚Π°ΠΊΠΆΠ΅ Π±Ρ‹Π»ΠΈ Π½Π°ΠΉΠ΄Π΅Π½Ρ‹The system with galvanostatic electropolymerization of electrosynthetized monomers was described mathematically. The correspondent mathematical model was analyzed by using of linear stability theory and bifurcation analysis. It was shown that the oscillatory behavior may be caused by the influences on DEL of electrochemical reactions on the first and the second stage. The steady-state stability conditions and the conditions for the monotonic instability were also foun

    The Mathematical Description for the Electropolymerization of Electrochemically Modified Monomers in Galvanostatic Mode

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    ΠœΠ°Ρ‚Π΅ΠΌΠ°Ρ‚ΠΈΡ‡Π΅ΡΠΊΠΈ описана систСма с элСктрополимСризациСй элСктрохимичСски ΠΌΠΎΠ΄ΠΈΡ„ΠΈΡ†ΠΈΡ€ΠΎΠ²Π°Π½Π½Ρ‹Ρ… органичСских ΠΌΠΎΠ½ΠΎΠΌΠ΅Ρ€ΠΎΠ² Π² Π³Π°Π»ΡŒΠ²Π°Π½ΠΎΡΡ‚Π°Ρ‚ΠΈΡ‡Π΅ΡΠΊΠΎΠΌ Ρ€Π΅ΠΆΠΈΠΌΠ΅. Π‘ΠΎΠΎΡ‚Π²Π΅Ρ‚ΡΡ‚Π²ΡƒΡŽΡ‰Π°Ρ матСматичСская модСль Π±Ρ‹Π»Π° ΠΏΡ€ΠΎΠ°Π½Π°Π»ΠΈΠ·ΠΈΡ€ΠΎΠ²Π°Π½Π° с ΠΏΠΎΠΌΠΎΡ‰ΡŒΡŽ Π»ΠΈΠ½Π΅ΠΉΠ½ΠΎΠΉ Ρ‚Π΅ΠΎΡ€ΠΈΠΈ устойчивости ΠΈ Π±ΠΈΡ„ΡƒΡ€ΠΊΠ°Ρ†ΠΈΠΎΠ½Π½ΠΎΠ³ΠΎ Π°Π½Π°Π»ΠΈΠ·Π°. Показано, Ρ‡Ρ‚ΠΎ ΠΏΡ€ΠΈΡ‡ΠΈΠ½ΠΎΠΉ Π°Π²Ρ‚ΠΎΠΊΠΎΠ»Π΅Π±Π°Ρ‚Π΅Π»ΡŒΠ½ΠΎΠ³ΠΎ повСдСния Π² Ρ‚Π°ΠΊΠΈΡ… систСмах ΠΌΠΎΠ³ΡƒΡ‚ Π±Ρ‹Ρ‚ΡŒ влияния Π½Π° Π”Π­Π‘ элСктрохимичСских Ρ€Π΅Π°ΠΊΡ†ΠΈΠΉ Π½Π° ΠΏΠ΅Ρ€Π²ΠΎΠΉ ΠΈ Π²Ρ‚ΠΎΡ€ΠΎΠΉ стадиях. Условия устойчивости стационарного состояния, Π° Ρ‚Π°ΠΊΠΆΠ΅ ΠΌΠΎΠ½ΠΎΡ‚ΠΎΠ½Π½ΠΎΠΉ нСустойчивости Ρ‚Π°ΠΊΠΆΠ΅ Π±Ρ‹Π»ΠΈ Π½Π°ΠΉΠ΄Π΅Π½Ρ‹The system with galvanostatic electropolymerization of electrosynthetized monomers was described mathematically. The correspondent mathematical model was analyzed by using of linear stability theory and bifurcation analysis. It was shown that the oscillatory behavior may be caused by the influences on DEL of electrochemical reactions on the first and the second stage. The steady-state stability conditions and the conditions for the monotonic instability were also foun
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