By Marat Akhmet,Ardak Kashkynbayev

This ebook makes a speciality of bifurcation concept for self sustaining 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 ideas of equations. the implications got might be utilized to numerous fields, akin to neural networks, mind dynamics, mechanical structures, climate phenomena and inhabitants dynamics. Developing bifurcation conception for varied different types of differential equations, the publication is pioneering within the box. It offers the most recent effects and gives a realistic consultant to utilising the idea to differential equations with a number of forms of discontinuity. additionally, it bargains new how you can research nonautonomous bifurcation situations in those equations. As such, it exhibits undergraduate and graduate scholars how bifurcation conception should be constructed not just for discrete and non-stop structures, but additionally for people that mix those structures in very other ways. even as, it deals experts a number of robust tools constructed for the speculation of discontinuous dynamical platforms with variable moments of effect, differential equations with piecewise consistent arguments of generalized variety and Filippov systems.

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