DOI: https://doi.org/10.18524/0235-2435.2018.27.150587

ХАОТИЧНА ДИНАМІКА ДВОАТОМНИХ МОЛЕКУЛВ ЕЛЕКТРОМАГНІТНОМУ ПОЛІ

A A Mashkantsev, A. V. Ignatenko, S V Kirianov, E V Pavlov

Анотація


Моделюється нелінійна хаотична динаміка двоатомних молекул, взаємодіючих з резонансним лінійно-поляризованим електромагнітним полем. Представлена ефективна квантово-механічна модель для двоатомних молекули в електромагнітному полі, що базується на використанні рівняння Шредінгера і методу модельного потенціалу. Для детектування елементів хаотичної динаміки використані методи теорії хаосу і нелінійного аналізу, такі як алгоритм кореляційного інтеграла, аналіз на основі показників Ляпунова і ентропії Колмогорова, траєкторна модель прогнозу і ін. Представлені дані обчислення динамічних і топологічних інваріантів таких як кореляційна розмірність, розмірності вкладення і Каплана -Йорка, показники Ляпунова, ентропія Колмогорова і т. д. для часової залежності поляризації молекули ZrO, яка взаємодіє з лінійно-полярізованим електромагнітним полем. Отримані результати знаходяться в фізично розумній згоді з якісними висновками Бермана, Коловського, Заславського, Згана, Глушкова та ін.

Ключові слова


Nonlinear chaotic dynamics; diatomic molecules; electromagnetic field

Повний текст:

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Посилання


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