Screen LibraryBifurcation in Autonomous and Nonautonomous Differential Equations with Discontinuities /
This book is devoted to bifurcation theory for autonomous and nonautonomous differential equations with discontinuities of different types. That is, those with jumps present either in the right-hand-side or in trajectories or in the arguments of solutions of equations. The results obtained in this b...
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| Main Authors: | |
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| Published: |
Springer Singapore : Imprint: Springer,
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| Publisher Address: | Singapore : |
| Publication Dates: | 2017. |
| Literature type: | eBook |
| Language: | English |
| Series: |
Nonlinear Physical Science,
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| Subjects: | |
| Online Access: |
http://dx.doi.org/10.1007/978-981-10-3180-9 |
| Summary: |
This book is devoted to bifurcation theory for autonomous and nonautonomous differential equations with discontinuities of different types. That is, those with jumps present either in the right-hand-side or in trajectories or in the arguments of solutions of equations. The results obtained in this book can be applied to various fields such as neural networks, brain dynamics, mechanical systems, weather phenomena, population dynamics, etc. Without any doubt, bifurcation theory should be further developed to different types of differential equations. In this sense, the present book will be a l |
| Carrier Form: | 1 online resource(XI,166pages): illustrations. |
| ISBN: | 9789811031809 |
| Index Number: | QA313 |
| CLC: | O175 |
| Contents: | Introduction -- Hopf Bifurcation in Impulsive Systems -- Hopf Bifurcation in Fillopov Systems -- Nonautonomous Transcritical and Pitchfork Bifurcations in an Impulsive Bernoulli Equations -- Nonautonomous Transcritical and Pitchfork Bifurcations in Scalar Non-solvable Impulsive Differential Equations -- Nonautonomous Transcritical and Pitchfork Bifurcations in Bernoulli Equations with Piecewise Constant Argument of Generalized Type. |