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Poincare-Andronov-Melnikov Analysis for Non-Smooth Systems
Af: Michal Pospisil, Michal Feckan Engelsk Hardback
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Poincare-Andronov-Melnikov Analysis for Non-Smooth Systems
Af: Michal Pospisil, Michal Feckan Engelsk Hardback
Poincare-Andronov-Melnikov Analysis for Non-Smooth Systems is devoted to the study of bifurcations of periodic solutions for general n-dimensional discontinuous systems. The authors study these systems under assumptions of transversal intersections with discontinuity-switching boundaries. Furthermore, bifurcations of periodic sliding solutions are studied from sliding periodic solutions of unperturbed discontinuous equations, and bifurcations of forced periodic solutions are also investigated for impact systems from single periodic solutions of unperturbed impact equations. In addition, the book presents studies for weakly coupled discontinuous systems, and also the local asymptotic properties of derived perturbed periodic solutions. The relationship between non-smooth systems and their continuous approximations is investigated as well. Examples of 2-, 3- and 4-dimensional discontinuous ordinary differential equations and impact systems are given to illustrate the theoretical results. The authors use so-called discontinuous Poincare mapping which maps a point to its position after one period of the periodic solution. This approach is rather technical, but it does produce results for general dimensions of spatial variables and parameters as well as the asymptotical results such as stability, instability, and hyperbolicity.
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Poincare-Andronov-Melnikov Analysis for Non-Smooth Systems is devoted to the study of bifurcations of periodic solutions for general n-dimensional discontinuous systems. The authors study these systems under assumptions of transversal intersections with discontinuity-switching boundaries. Furthermore, bifurcations of periodic sliding solutions are studied from sliding periodic solutions of unperturbed discontinuous equations, and bifurcations of forced periodic solutions are also investigated for impact systems from single periodic solutions of unperturbed impact equations. In addition, the book presents studies for weakly coupled discontinuous systems, and also the local asymptotic properties of derived perturbed periodic solutions. The relationship between non-smooth systems and their continuous approximations is investigated as well. Examples of 2-, 3- and 4-dimensional discontinuous ordinary differential equations and impact systems are given to illustrate the theoretical results. The authors use so-called discontinuous Poincare mapping which maps a point to its position after one period of the periodic solution. This approach is rather technical, but it does produce results for general dimensions of spatial variables and parameters as well as the asymptotical results such as stability, instability, and hyperbolicity.
Produktdetaljer
Sprog: Engelsk
Sider: 260
ISBN-13: 9780128042946
Indbinding: Hardback
Udgave:
ISBN-10: 012804294X
Udg. Dato: 17 maj 2016
Længde: 20mm
Bredde: 199mm
Højde: 241mm
Oplagsdato: 17 maj 2016
Forfatter(e) Michal Pospisil, Michal Feckan


Kategori Reel analyse, reelle variabler


Sprog Engelsk


Indbinding Hardback


Sider 260


Udgave


Længde 20mm


Bredde 199mm


Højde 241mm

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