117 citations · 532 across the 21 of their papers we have counts for
21 papers
Equation-Free Computations as DDDAS Protocols for Bifurcation Studies: A Granular Chain Example
M. O. Williams, Y. M. Psarellis, D. Pozharskiy +5
This chapter discusses the development and implementation of algorithms based on Equation-Free/Dynamic Data Driven Applications Systems (EF/DDDAS) protocols for the computer-assist…
Breathers in lattices with alternating strain-hardening and strain-softening interactions
Marisa M. Lee, Efstathios G. Charalampidis, Siyuan Xing +2
This work focuses on the study of time-periodic solutions, including breathers, in a nonlinear lattice consisting of elements whose contacts alternate between strain-hardening and…
Dispersive Shock Waves in Lattices: A Dimension Reduction Approach
Christopher Chong, Michael Herrmann, P. G. Kevrekidis
Dispersive shock waves (DSWs), which connect states of different amplitude via a modulated wave train, form generically in nonlinear dispersive media subjected to abrupt changes in…
Rogue and solitary waves in coupled phononic crystals
Yasuhiro Miyazawa, Christopher Chong, Panayotis G. Kevrekidis +1
In this work we present an analytical and numerical study of rogue and solitary waves in a coupled one-dimensional nonlinear lattice that involves both axial and rotational degrees…
Nonlinear Localized Modes in Two-Dimensional Hexagonally-Packed Magnetic Lattices
C. Chong, Yifan Wang, Donovan Marechal +6
We conduct an extensive study of nonlinear localized modes (NLMs), which are temporally periodic and spatially localized structures, in a two-dimensional array of repelling magnets…
Origami-based impact mitigation via rarefaction solitary wave creation
Hiromi Yasuda, Yasuhiro Miyazawa, Efstathios G. Charalampidis +3
The principles underlying the art of origami paper folding can be applied to design sophisticated metamaterials with unique mechanical properties. By exploiting the flat crease pat…
Nonlinear Excitations in Magnetic Lattices with Long-Range Interactions
Miguel Molerón, C. Chong, Alejandro J. Martínez +3
We study - experimentally, theoretically, and numerically - nonlinear excitations in lattices of magnets with long-range interactions. We examine breather solutions, which are spat…
Phononic Rogue Waves
E. G. Charalampidis, J. Lee, P. G. Kevrekidis +1
We present a theoretical study of extreme events occurring in phononic lattices. In particular, we focus on the formation of rogue or freak waves, which are characterized by their…
Demonstration of dispersive rarefaction shocks in hollow elliptical cylinder chains
H. Kim, E. Kim, C. Chong +2
We report an experimental and numerical demonstration of dispersive rarefaction shocks (DRS) in a 3D-printed soft chain of hollow elliptical cylinders. We find that, in contrast to…
Nonlinear Coherent Structures in Granular Crystals
C. Chong, Mason A. Porter, P. G. Kevrekidis +1
The study of granular crystals, metamaterials that consist of closely packed arrays of particles that interact elastically, is a vibrant area of research that combines ideas from d…
Wave mixing in coupled phononic crystals via a variable stiffness mechanism
Gil-Yong Lee, Christopher Chong, Panayotis Kevrekidis +1
We investigate wave mixing effects in a phononic crystal that couples the wave dynamics of two channels -- primary and control ones -- via a variable stiffness mechanism. We demons…
A mechanical autonomous stochastic heat engine
Marc Serra-Garcia, André Foehr, Miguel Molerón +3
Stochastic heat engines are devices that generate work from random thermal motion using a small number of highly fluctuating degrees of freedom. Proposals for such devices have exi…
Conical Wave Propagation and Diffraction in 2D Hexagonally Packed Granular Lattices
C. Chong, P. G. Kevrekidis, M. J. Ablowitz +1
Linear and nonlinear mechanisms for conical wave propagation in two-dimensional lattices are explored in the realm of phononic crystals. As a prototypical example, a statically com…
Highly Nonlinear Wave Propagation in Elastic Woodpile Periodic Structures
E. Kim, F. Li, C. Chong +3
In the present work, we experimentally implement, numerically compute with and theoretically analyze a configuration in the form of a single column woodpile periodic structure. Our…
Time-Periodic Solutions of Driven-Damped Trimer Granular Crystals
E. G. Charalampidis, F. Li, C. Chong +2
In this work, we consider time-periodic structures of trimer granular crystals consisting of alternate chrome steel and tungsten carbide spherical particles yielding a spatial peri…
Time- and space-variant wave transmission in helicoidal phononic crystals
F. Li, C. Chong, J. Yang +2
We present a dynamically tunable mechanism of wave transmission in 1D helicoidal phononic crystals in a shape similar to DNA structures. These helicoidal architectures allow slante…
Traveling Waves in 2D Hexagonal Granular Crystal Lattices
A. Leonard, C. Chong, P. G. Kevrekidis +1
We describe the dynamic response of a two-dimensional hexagonal packing of uncompressed stainless steel spheres excited by localized impulsive loadings. After the initial impact st…
Justification of Leading Order Quasicontinuum Approximations of Strongly Nonlinear Lattices
Christopher Chong, P. G. Kevrekidis, Guido Schneider
We consider the leading order quasicontinuum limits of a one-dimensional granular medium governed by the Hertz contact law under precompression. The approximate model which is deri…
Variational approximations in discrete nonlinear Schrödinger equations with next-nearest-neighbor couplings
C. Chong, R. Carretero-González, B. A. Malomed +1
Solitons of a discrete nonlinear Schrödinger equation which includes the next-nearest-neighbor interactions are studied by means of a variational approximation and numerical comput…
Variational Approximations of Bifurcations of Asymmetric Solitons in Cubic-Quintic Nonlinear Schroedinger Lattices
C. Chong, D. E. Pelinovsky
Using a variational approximation we study discrete solitons of a nonlinear Schroedinger lattice with a cubic-quintic nonlinearity. Using an ansatz with six parameters we are able…
Multistable Solitons in the Cubic-Quintic Discrete Nonlinear Schrödinger Equation
R. Carretero-Gonzalez, J. D. Talley, C. Chong +1
We analyze the existence and stability of localized solutions in the one-dimensional discrete nonlinear Schrödinger (DNLS) equation with a combination of competing self-focusing cu…