Bifurcation in Autonomous and Nonautonomous Differential Equations with Discontinuities

1) Prof. Dr. Marat Akhmet is a member of the Department of Mathematics, Middle East Technical University, Turkey. He is a specialist in dynamical  models, bifurcation theory, chaos theory and differential equations. He has spent several years investigating the dynamics of neural networks, economic models and mechanical systems. He has published 4 books on different topics of dynamical systems.2)  Dr. Ardak Kashkynbayev obtained his PhD from the Department of Mathematics, Middle East Technical University, Turkey. His research focuses on differential equations, bifurcation theory, chaos theory and applications to mechanical systems.

• 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.

“The book under review deals with bifurcation theory for discontinuous dynamical systems. … This book is also appropriate for a graduate course on the subject of discontinuous differential equations. A vast list of references is presented.” (Ronaldo Alves Garcia, Mathematical Reviews, January, 2018)