We interpret and explain a phenomenon in short-term swing dynamics of multi-machine
power grids that we term the Coherent Swing Instability (CSI). This is an undesirable and …

, 1994) and Mezić and Wiggins [Chaos 9, 213 (1999)]. The algorithms for computation of the
time averages of observables on phase space are developed and used to provide an …

We consider models given by Hamiltonians of the form H (I, φ, p, q, t; ε)= h (I)+∑ j= 1 n±(1 2
pj 2+ V j (qj))+ ε Q (I, φ, p, q, t; ε) where I∈ I⊂ R d, φ∈ T d, p, q∈ R n, t∈ T 1. These are …

We explore minimal dynamical mechanisms for the transport of Trojan asteroids between
the vicinities of the stable Lagrange points L_ 4 L 4 and L_ 5 L 5 within the framework of the …

The phase space dynamics of higher dimensional nonintegrable conservative systems is
characterized via the effect of “sticky” motion on the finite time Lyapunov exponents (FTLEs) …

We study the metastability, internal frequencies, activation mechanism, energy transfer, and
the collective base-flipping in a mesoscopic DNA via resonance with specific electric fields …

We study the internal resonance, energy transfer, activation mechanism, and control of a
model of DNA division via parametric resonance. While the system is robust to noise, this …

Metastable escape is ubiquitous in many physical systems and is becoming a concern in
engineering design as these designs (eg, swarms of vehicles, coupled building energetics …

We describe a dynamical mechanism of cascading failure in a system of interconnected
power grids. This mechanism is based on the discovery of (SusukiY et al.(2011) J Nonlinear …

We consider the non-semisimple 0: 1 resonance (ie the unperturbed equilibrium has two
purely imaginary eigenvalues±i α (α∈ R and α> 0) and a non-semisimple double-zero one) …