Nonlinear Resonances

Miguel Sanjuan is full professor of physics at the Universidad Rey Juan Carlos in Madrid, Spain, where he founded the Physics Department in 2006. He is a corresponding member of the Spanish Royal Academy of Sciences, section physics and chemistry, and a foreign member of the Lithuanian Academy of Sciences in the areas of physics and mechanical engineering. Prof. Sanjuan is presently the head of the Nonlinear Dynamics, Chaos and Complex Systems Research Group at the Universidad Rey Juan Carlos. Shanmuganathan Rajasekar is full professor at the School of Physics, Bharathidasan University, India. He received the Ph.D. degree in Physics (Nonlinear Dynamics) in 1992 under the supervision of Prof. M. Lakshmanan with whom, he co-authored the Springer textbook Nonlinear Dynamics: Integrability, Chaos and Patterns. His recent research focuses on nonlinear dynamics with a special emphasis on nonlinear resonances.

Preface.- Harmonic and Nonlinear Resonances.- Stochastic Resonance.- Vibrational Resonance in Monostable Systems.- Vibrational Resonance in Multistable and Excitable Systems.- Vibrational and Stochastic Resonances in Spatially Periodic Systems.- Nonlinear and Vibrational Resonances in Time-Delayed Systems.- Signal Propagation in Unidirectionally Coupled.- Experimental Observation of Vibrational Resonance.- Ghost Resonances.- Parametric Resonance.- Autoresonance Resonance.- Slow Passage Through Resonance and Resonance Tongues.- Anti-Resonances.- Appendices.

"The authors have identified a really remarkable set of modern-day topics which resonate (pun inevitable and intended) with the main themes of the book. ... The book is intended for graduate students but, as suggested in the book, one is confident that it will find a ready market amongst researchers in the broad area of nonlinear dynamics who require an accessible reference work on nonlinear resonances. The authors of this volume have performed a valuable service for that community." (K. Alan Shore, Contemporary Physics, Vol. 57 (4), 2016)