Nonlinear Vibration Reduction

This volume presents the latest advancements in the study of phonons and acoustic metamaterials. The book compiles significant contributions from esteemed international researchers, offering an excellent survey of new perspectives on phonons.

ESI offers a wide range of simulation applications for Virtual Performance including crash, impact and occupant safety, linear & nonlinear statics & dynamics, strength & thermal, NVH (noise, vibration and harshness) as well as interior acoustics and seat prototyping. All these applications for Virtual Performance are grouped together in one coherent software solution package: Virtual Performance Solution (VPS).

This book discusses continuous and discrete nonlinear systems in systematic and sequential approaches. The unique feature of the book is its mathematical theories on flow bifurcations, nonlinear oscillations, Lie symmetry analysis of nonlinear systems, chaos theory, routes to chaos and multistable coexisting attractors. The logically structured content and sequential orientation provide readers with a global overview of the topic. A systematic mathematical approach has been adopted, featuring a multitude of detailed worked-out examples alongside comprehensive exercises. The book is useful for courses in dynamical systems and chaos and nonlinear dynamics for advanced undergraduate, graduate and research students in mathematics, physics and engineering.