The Markus–Yamabe Conjecture for Discontinuous Piecewise Linear Differential Systems in $$\mathbb {R}^n$$ Separated by a Conic$$\times \mathbb {R}^{n-2}$$

Author:

Llibre Jaume,Valls Clàudia

Funder

Fundação para a Ciência e a Tecnologia

H2020 European Research Council

Agència de Gestió d’Ajuts Universitaris i de Recerca

Ministerio de Economía, Industria y Competitividad, Gobierno de España

Publisher

Springer Science and Business Media LLC

Subject

Analysis

Reference19 articles.

1. Andronov, A., Vitt, A., Khaikin, S.: Theory of Oscillations. Pergamon Press, Oxford (1966)

2. Bernat, J., Llibre, J.: Counterexample to Kalman and Markus–Yamabe conjectures in dimension larger than $3$. Dyn. Contin. Discret. Impuls. Syst. 2, 337–379 (1996)

3. Cima, A., van den Essen, A., Hubbers, E., Manosas, F.: A polynomial counterexample to the Markus–Yamabe conjecture. Adv. Math. 131, 453–457 (1997)

4. Applied Mathematical Sciences Series;M Di Bernardo,2008

5. Dumortier, F., Llibre, J., Artés, J.C.: Qualitative Theory of Planar Differential Systems. UniversiText, Springer, New York (2006)

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