Titlebook: Bifurcations in Continuous Piecewise Linear Differential Systems; Applications to Low- Enrique Ponce,Javier Ros,Elísabet Vela Book 2022 The

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Preliminary Resultsor the bifurcation analysis of their periodic orbits. As main reference for the material here included, we must quote (Carmona et al., IEEE Trans Circuits Syst I Fundam Theory Appl 49(5):609–620, 2002).

CBC471

First Results for Planar Continuous Systems with Three Zonesefore, we are given the following system . where . and . so that the phase plane is divided into three zones, possibly with different linear dynamics, namely the central zone ., and the external zones ., ., separated by the straight lines . and ..

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An Algebraically Computable Bifurcation in Continuous Piecewise Linear Nodal Oscillatorsd by algebraic computations. More precisely, we introduce a family of PWL oscillators with all dynamics of node type, to be called nodal oscillators. As shown below, each member of the family possess the outstanding feature of being algebraically determinable, that is, all the magnitudes related wit

PALMY

The Focus-Saddle Boundary Bifurcationia we can pass to a new situation with two equilibria, namely a focus and a saddle, and simultaneously with a periodic orbit surrounding the focus in some cases. Thus, we will deal with a boundary equilibrium bifurcation in the non-smooth fold scenario. Some results of this chapter firstly appeared

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2509-8888 d. In particular, a minimal representation of PWL systems, called canonical form, is presented, as well as the closing equations, which are fundamental tools for the subsequent study of978-3-031-21137-9978-3-031-21135-5Series ISSN 2509-8888 Series E-ISSN 2509-8896