By Marat Akhmet,Ardak Kashkynbayev

This publication makes a speciality of bifurcation thought for independent and nonautonomous differential equations with discontinuities of other forms – people with jumps current both within the right-hand facet, or in trajectories or within the arguments of suggestions of equations. the consequences received might be utilized to numerous fields, reminiscent of neural networks, mind dynamics, mechanical structures, climate phenomena and inhabitants dynamics. Developing bifurcation idea for numerous varieties of differential equations, the ebook is pioneering within the box. It provides the most recent effects and offers a realistic consultant to using the idea to differential equations with a variety of varieties of discontinuity. in addition, it bargains new how one can learn nonautonomous bifurcation situations in those equations. As such, it indicates undergraduate and graduate scholars how bifurcation conception should be built not just for discrete and non-stop platforms, but in addition for people that mix those platforms in very alternative ways. while, it deals experts a number of strong tools built for the idea of discontinuous dynamical structures with variable moments of effect, differential equations with piecewise consistent arguments of generalized style and Filippov systems.

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Bifurcation in Autonomous and Nonautonomous Differential Equations with Discontinuities (Nonlinear Physical Science) by Marat Akhmet,Ardak Kashkynbayev

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