Download Bifurcation in Autonomous and Nonautonomous Differential by Marat Akhmet,Ardak Kashkynbayev PDF

By Marat Akhmet,Ardak Kashkynbayev

This e-book makes a speciality of bifurcation concept for self sufficient and nonautonomous differential equations with discontinuities of other forms – people with jumps current both within the right-hand part, or in trajectories or within the arguments of strategies of equations. the implications received should be utilized to numerous fields, reminiscent of neural networks, mind dynamics, mechanical platforms, climate phenomena and inhabitants dynamics. Developing bifurcation concept for varied varieties of differential equations, the ebook is pioneering within the box. It provides the newest effects and gives a pragmatic advisor to utilizing the speculation to differential equations with numerous different types of discontinuity. in addition, it bargains new how you can examine nonautonomous bifurcation eventualities in those equations. As such, it indicates undergraduate and graduate scholars how bifurcation thought may be built not just for discrete and non-stop platforms, but additionally for those who mix those structures in very other ways. while, it deals experts a number of strong tools built for the speculation of discontinuous dynamical platforms with variable moments of impression, differential equations with piecewise consistent arguments of generalized style and Filippov systems.

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