Iryna Sushko's Books

Continuous And Discontinuous Piecewise-smooth One-dimensional Maps: Invariant Sets And Bifurcation Structures

By: Viktor Avrutin,Laura Gardini,Iryna Sushko,Fabio Tramontana

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Continuous And Discontinuous Piecewise-smooth One-dimensional Maps: Invariant Sets And Bifurcation Structures

By: Viktor Avrutin,Laura Gardini,Iryna Sushko,Fabio Tramontana

The investigation of dynamics of piecewise-smooth maps is both intriguing from the mathematical point of view and important for applications in various fields, ranging from mechanical and electrical engineering up to financial markets. In this book, we review the attracting and repelling invariant sets of continuous and discontinuous one-dimensional piecewise-smooth maps. We describe the bifurcations occurring in these maps (border collision and degenerate bifurcations, as well as homoclinic bifurcations and the related transformations of chaotic attractors) and survey the basic scenarios and structures involving these bifurcations. In particular, the bifurcation structures in the skew tent map and its application as a border collision normal form are discussed. We describe the period adding and incrementing bifurcation structures in the domain of regular dynamics of a discontinuous piecewise-linear map, and the related bandcount adding and incrementing structures in the domain of robust chaos. Also, we explain how these structures originate from particular codimension-two bifurcation points which act as organizing centers. In addition, we present the map replacement technique which provides a powerful tool for the description of bifurcation structures in piecewise-linear and other form of invariant maps to a much further extent than the other approaches.

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Page Count

649

Publisher

World Scientific

Published Date

ISBN 10

9811204713

ISBN 13

9789811204715

Business Cycle Dynamics

Models and Tools

By: Iryna Sushko

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Business Cycle Dynamics

Models and Tools

By: Iryna Sushko

Business cycle theory has been one of the fastest growing fields in modern nonlinear economic dynamics. This book presents new mathematical methods for global analysis which have not previously been available in this easily accessible form. In addition it contains a presentation of full analyses of several models left open in the 1950s when the tools then available did not permit more systematic analysis.

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Page Count

336

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540321683

ISBN 13

9783540321682

Continuous And Discontinuous Piecewise-smooth One-dimensional Maps: Invariant Sets And Bifurcation Structures

By: Viktor Avrutin,Laura Gardini,Iryna Sushko,Fabio Tramontana

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Continuous And Discontinuous Piecewise-smooth One-dimensional Maps: Invariant Sets And Bifurcation Structures

By: Viktor Avrutin,Laura Gardini,Iryna Sushko,Fabio Tramontana

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Page Count

649

Publisher

World Scientific

Published Date

ISBN 10

9811204713

ISBN 13

9789811204715

Global Analysis of Dynamic Models in Economics and Finance

Essays in Honour of Laura Gardini

By: Gian Italo Bischi,Carl Chiarella,Iryna Sushko

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Global Analysis of Dynamic Models in Economics and Finance

Essays in Honour of Laura Gardini

By: Gian Italo Bischi,Carl Chiarella,Iryna Sushko

The essays in this special volume survey some of the most recent advances in the global analysis of dynamic models for economics, finance and the social sciences. They deal in particular with a range of topics from mathematical methods as well as numerous applications including recent developments on asset pricing, heterogeneous beliefs, global bifurcations in complementarity games, international subsidy games and issues in economic geography. A number of stochastic dynamic models are also analysed. The book is a collection of essays in honour of the 60th birthday of Laura Gardini.

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Page Count

449

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642295037

ISBN 13

9783642295034

Book's by Iryna Sushko

Continuous And Discontinuous Piecewise-smooth One-dimensional Maps: Invariant Sets And Bifurcation Structures

Continuous And Discontinuous Piecewise-smooth One-dimensional Maps: Invariant Sets And Bifurcation Structures

Business Cycle Dynamics

Business Cycle Dynamics

Continuous And Discontinuous Piecewise-smooth One-dimensional Maps: Invariant Sets And Bifurcation Structures

Continuous And Discontinuous Piecewise-smooth One-dimensional Maps: Invariant Sets And Bifurcation Structures

Global Analysis of Dynamic Models in Economics and Finance

Global Analysis of Dynamic Models in Economics and Finance

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