Localization of the Trajectory Bundles of Tunnel Type in the Phase Space of 2D Dynamical Systems | Sciact - CRIS-system of Boreskov Institute of Catalysis

Localization of the Trajectory Bundles of Tunnel Type in the Phase Space of 2D Dynamical Systems Conference Abstracts

Conference

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

Source

12th Meeting on Applied Scientific Computing and Tools: Grid Generation, Approximation, and Visualization (MASCOT 2012)
Compilation, 2012.

Output data

Year: 2012, Pages: 41 Pages count : 1

Authors

Chumakov G.A. , Chumakova (Chumakova) L. , Chumakova N.A.

Affiliations

1	Boreskov Institute of Catalysis SB RAS
2	Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
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 (Chumakova) L. , Chumakova N.A.
Localization of the Trajectory Bundles of Tunnel Type in the Phase Space of 2D Dynamical Systems
In compilation 12th Meeting on Applied Scientific Computing and Tools: Grid Generation, Approximation, and Visualization (MASCOT 2012). 2012. – C.41.

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