Transversal homoclinics in nonlinear systems of ordinary differential equations.
Fečkan, Michal (2000)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Fečkan, Michal (2000)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Lazer, Alan C. (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Michal Fečkan (1998)
Archivum Mathematicum
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Chaos generated by the existence of Smale horseshoe is the well-known phenomenon in the theory of dynamical systems. The Poincaré-Andronov-Melnikov periodic and subharmonic bifurcations are also classical results in this theory. The purpose of this note is to extend those results to ordinary differential equations with multivalued perturbations. We present several examples based on our recent achievements in this direction. Singularly perturbed problems are studied as well. Applications...
Amster, P., de Nápoli, P., Mariani, M.C. (2005)
Portugaliae Mathematica. Nova Série
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Büger, M. (1998)
Acta Mathematica Universitatis Comenianae. New Series
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Feng, Zhaosheng (2000)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Rózsa, Zoltán, Tóth, János (2003)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Laohakosol, Vichian, Tangsupphathawat, Pinthira, Dangskul, Supreedee (2010)
Applied Mathematics E-Notes [electronic only]
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Ma, Shiwang, Wang, Zhicheng (1999)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Harris, B.J., Marzano, F. (1999)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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