Piecewise smooth dynamical systems theory and applications applied mathematical sciences mario bernardo chris budd alan richard champneys piotr kowalczyk on amazoncom free shipping on qualifying offers this book presents a coherent framework for understanding the dynamics of piecewise smooth and hybrid systems an informal introduction expounds the ubiquity of such models via . Piecewise smooth dynamical systems theory and applications 163 applied mathematical sciences download book piecewise smooth dynamical systems theory and applications 163 applied mathematical sciences in pdf format you can read online piecewise smooth dynamical systems theory and applications 163 applied mathematical sciences here in pdf epub . Traditional analysis of dynamical systems has restricted its attention to smooth problems but it has become increasingly clear that there are distinctive phenomena unique to discontinuous systems that can be analyzed mathematically but which fall outside the usual methodology for smooth dynamical systems. A comprehensive tool kit providing a complete reference to bifurcation theory for piecewise smooth dynamical systems introduces the main ideas through examples adds detail in subsequent chapters and finishes with more applications showing how the theory matches physical experiments. Piecewise smooth dynamical systems can exhibit most of the bifurcations also exhibited by smooth systems such as period doublings saddle nodes homoclinic tangencies etc provided that these occur away from the discontinuity boundariesin addition to these they can also exhibit some novel bifurcation phenomena which are unique to piecewise smooth systems or discontinuity induced
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