Piecewise-smooth Dynamical Systems Theory and Applications /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Laurea, Mario di Bernardo (Editor), Champneys, Alan R. (Editor), Budd, Christopher J. (Editor), Kowalczyk, Piotr (Editor)
• Format: Electronic eBook
• Language: English
• Published: London : Springer London, 2008.
• Series: Applied Mathematical Sciences, 163
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Dynamics.; Ergodic theory.; Applied mathematics.; Engineering mathematics.; Vibration.; Dynamical systems.; Control engineering.; Robotics.; Mechatronics.; Electrical engineering.; Analysis.; Dynamical Systems and Ergodic Theory.; Control, Robotics, Mechatronics.; Vibration, Dynamical Systems, Control.; Electrical Engineering.; Applications of Mathematics.

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 s...

Table of Contents:

• Qualitative theory of non-smooth dynamical systems
• Border-collision in piecewise-linear continuous maps
• Bifurcations in general piecewise-smooth maps
• Boundary equilibrium bifurcations in flows
• Limit cycle bifurcations in impacting systems
• Limit cycle bifurcations in piecewise-smooth flows
• Sliding bifurcations in Filippov systems
• Further applications and extensions.