Localization of the Trajectory Bundles of Tunnel Type in the Phase Space of 2D Dynamical Systems - Доклады на конференциях | Sciact - CRIS-система Института катализа

Localization of the Trajectory Bundles of Tunnel Type in the Phase Space of 2D Dynamical Systems Доклады на конференциях

Язык

Английский

Тип доклада

Устный

Url доклада

http://alice.rm.cnr.it/ocs/index.php/MASCOT2012/MASCOT12/paper/view/115

Конференция

12th Meeting on Applied Scientific Computing and Tools: Grid Generation, Approximation, and Visualization (MASCOT 2012)
22-26 окт. 2012 , Las Palmas de Gran Canaria

Авторы

Чумаков Геннадий Александрович , Чумакова Любовь Г. , Чумакова Наталия Алексеевна

Организации

1	Институт катализа им. Г.К. Борескова СО РАН
2	Институт математики имени С.Л. Соболева Сибирского отделения Российской академии наук
3	Massachussets Institute of Thechnology

We present a new approach to localization of canards in phase space in a 2D dynamical system, which exhibit relaxation oscillations. Our method is based only on the solution of algebraic equations and uses the envelope of straight lines passing through the contact points of isoclines with different slope and the vector field. We present an example of canard in the Van der Pol system, for which the difference between the estimation curves and the canard solution is of O(e2) as e goes to zero.

Chumakov G.A. , Chumakova L.G. , Chumakova N.A.
Localization of the Trajectory Bundles of Tunnel Type in the Phase Space of 2D Dynamical Systems
12th Meeting on Applied Scientific Computing and Tools: Grid Generation, Approximation, and Visualization (MASCOT 2012) 22-26 Oct 2012