Poincaré-Andronov-Melnikov Analysis for Non-Smooth Systems
Author:   Michal Feckan (Comenius University in Bratislava, Faculty of Mathematics, Physics and Informatics, Department of Mathematical Analysis and Numerical Mathematics, Bratislava, Slovak Republic) ,  Michal Pospíšil (Slovak Academy of Sciences, Mathematical Institute, Bratislava, Slovakia)
Publisher:   Elsevier Science Publishing Co Inc
ISBN:  

9780128042946


Pages:   260
Publication Date:   17 May 2016
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Poincaré-Andronov-Melnikov Analysis for Non-Smooth Systems


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Author:   Michal Feckan (Comenius University in Bratislava, Faculty of Mathematics, Physics and Informatics, Department of Mathematical Analysis and Numerical Mathematics, Bratislava, Slovak Republic) ,  Michal Pospíšil (Slovak Academy of Sciences, Mathematical Institute, Bratislava, Slovakia)
Publisher:   Elsevier Science Publishing Co Inc
Imprint:   Academic Press Inc
Dimensions:   Width: 19.10cm , Height: 1.60cm , Length: 23.50cm
Weight:   1.040kg
ISBN:  

9780128042946


ISBN 10:   012804294
Pages:   260
Publication Date:   17 May 2016
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

An introductory example I. Piecewise-smooth systems of forced ODEs I.2. Bifurcation from family of periodic orbits in autonomous systems I.3. Bifurcation from single periodic orbit in autonomous systems I.4. Sliding solution of periodically perturbed systems I.5. Weakly coupled oscillators Reference II. Forced hybrid systems II.1. Periodically forced impact systems II.2. Bifurcation from family of periodic orbits in forced billiards Reference III. Continuous approximations of non-smooth systems III.1. Transversal periodic orbits III.2. Sliding periodic orbits III.3. Impact periodic orbits III.4. Approximation and dynamics Reference Appendix

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Professor Michal Feckan works at the Department of Mathematical Analysis and Numerical Mathematics at the Faculty of Mathematics, Physics, and Informatics at Comenius University. He specializes in nonlinear functional analysis, and dynamic systems and their applications. There is much interest in his contribution to the analysis of solutions of equations with fractional derivatives. Feckan has written several scientific monographs that have been published at top international publishing houses Michal Pospíšil is senior researcher at the Mathematical Institute of Slovak Academy of Sciences in Bratislava, Slovak Republic. He obtained his Ph.D. (applied mathematics) from the Mathematical Institute of Slovak Academy of Sciences in Bratislava, Slovak Republic. He is interested in discontinuous dynamical systems and delayed differential equations.

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