We provide a selective review of recent progress in the analysis of several physiological and
physiologically inspired fluid-structure interaction problems, our aim being to explain the …

Instabilities of uniform states are ubiquitous processes occurring in a variety of spatially
extended nonlinear systems. These instabilities are at the heart of symmetry breaking …

Dissipative and unitary processes define the evolution of a many-body system. Their
interplay gives rise to dynamical phase transitions and can lead to instabilities. In this study …

This updated revision gives a complete and topical overview on Nonconservative Stability
which is essential for many areas of science and technology ranging from particles trapping …

ABSTRACT A primary spectral submanifold (SSM) is the unique smoothest nonlinear
continuation of a nonresonant spectral subspace E of a dynamical system linearized at a …

Optomechanics, which explores the fundamental coupling between light and mechanical
motion, has made important advances in manipulating macroscopic mechanical oscillators …

The paradox of destabilization of a conservative or non‐conservative system by small
dissipation, or Ziegler's paradox (1952), has stimulated an ever growing interest in the …

This paper presents a few of the research tools of modern physics that can successfully be
used to achieve a better understanding of the temporal and spatial variability of the multi …

The phenomenon of oscillatory instability called 'flutter'was observed in aeroelasticity and
rotor dynamics about a century ago. Driven by a series of applications involving non …

The magnetorotational instability (MRI) is thought to play a key role in the formation of stars
and black holes by sustaining the turbulence in hydrodynamically stable Keplerian accretion …