Nonlinear Resonance From Circuits To Systems eBook

This book is a specific monograph on nonlinear resonance in circuits and systems. The topic falls within the wider area of research that the authors have been developing during the last several years, which includes strange attractors and bifurcations in nonlinear circuits and control systems. Particularly, this monograph discusses the active use of jump resonance circuits, outlining the concept of multi jump and multiple hysteresis jump resonance with the aim of designing electronic circuits, either analog or digital, capable of sensing frequency drifts.

The organization is optimized for the reader's quick acquisition of theoretical knowledge which can immediately be applied to carry out practical experiments on nonlinear circuits. The first few chapters present main concepts of jump resonance and the recent advances on nonlinear resonance. Then, the relevance of jump resonance is analyzed in the case of the Chua's circuit and presented in the discrete-time domain. The multi-jump resonance phenomenon is also studied, offering the real possibility of designing multi-jump resonance responses for multi-drift frequency detection. Some chapters focus on the presentation of practical devices, including digital solutions.

This monograph is a suitable reading for both theorists and practitioners in nonlinear electronic circuits, especially those interested in how nonlinear resonance can be useful to design advanced circuits and systems.

Contents:

• Nonlinear Resonance in Forced Dynamical Systems
• Literature Review on Jump Resonance
• Jump Resonance in the Driven Chua's Circuit
• Jump Resonance in the Discrete-Time Chua's Circuit
• Jump Resonance in Fractional-Order Circuits and Systems
• Multi-Jump Resonance and Multiple Hysteresis Jump Resonance
• Lookup Table Jump Resonance
• Design of Nonlinear Filters with Jump Resonance: A General Perspective
• Conclusions
• Appendix A: Implementation of Jump, Multi-jump and Multiple Hysteresis Jump Resonance Circuits

Readership: Researchers, engineers and academics interested in nonlinear dynamics of electronic circuits.