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In this paper we study how to shape temporal pulses to switch a bistable system between its stable steady states. Our motivation for pulse-based control comes from applications in synthetic biology, where it is generally difficult to…

Optimization and Control · Mathematics 2015-10-05 Aivar Sootla , Diego Oyarzun , David Angeli , Guy-Bart Stan

Non-linear dynamical systems represent a compact, flexible, and robust tool for reactive motion generation. The effectiveness of dynamical systems relies on their ability to accurately represent stable motions. Several approaches have been…

Robotics · Computer Science 2020-06-01 Matteo Saveriano

We predict that vertical transport in heterostructures formed by twisted graphene layers can exhibit a unique bistability mechanism. Intrinsically bistable $I$-$V$ characteristics arise from resonant tunneling and interlayer charge…

Mesoscale and Nanoscale Physics · Physics 2016-08-19 Joaquin F. Rodriguez-Nieva , Mildred S. Dresselhaus , Leonid S. Levitov

We develop a predictor-feedback control design for multi-input nonlinear systems with distinct input delays, of arbitrary length, in each individual input channel. Due to the fact that different input signals reach the plant at different…

Optimization and Control · Mathematics 2015-08-25 Nikolaos Bekiaris-Liberis , Miroslav Krstic

This work studies data-driven switched controller design for discrete-time switched linear systems. Instead of having access to the full system dynamics, an initialization phase is performed, during which noiseless measurements of the state…

Optimization and Control · Mathematics 2022-09-13 Jaap Eising , Shenyu Liu , Sonia Martinez , Jorge Cortes

Multistable structures are objects with more than one stable conformation, exemplified by the simple switch. Continuum versions are often elastic composite plates or shells, such as the common measuring tape or the slap bracelet, both of…

Soft Condensed Matter · Physics 2012-01-31 L. Giomi , L. Mahadevan

The functionality of logic and memory elements in current electronics is based on multi-stability, driven either by manipulating local concentrations of electrons in transistors, or by switching between equivalent states of a material with…

Mesoscale and Nanoscale Physics · Physics 2016-05-12 I. Vaskivskyi , I. A. Mihailovic , S. Brazovskii , J. Gospodaric , T. Mertelj , D. Svetin , P. Sutar , D. Mihailovic

Using an alternative mechanism to dissipation or scattering, bistable structures and mechanical metamaterials have shown promise for mitigating the detrimental effects of impact by reversibly locking energy into strained material. Herein,…

We study a Ginzburg-Landau model of structural phase transition in two dimensions, in which a single order parameter is coupled to the tetragonal and dilational strains. Such elastic coupling terms in the free energy much affect the phase…

Materials Science · Physics 2009-11-13 Akihiko Minami , Akira Onuki

Narrow bandwidth and easy detuning, inefficiency in broadband and non-stationary excitations, and difficulties in matching linear harvester's resonance frequency to low-frequency excitations at small scales, have convinced the researchers…

Other Condensed Matter · Physics 2016-01-12 Ashkan Haji Hosseinloo , Konstantin Turitsyn

We present a locomotion mechanism that uses the stick-slip transition of a soft passive structure with an internal mechanical resonance. The structure is harmonically driven by a global vertical shaking and, because of its resonance…

Soft Condensed Matter · Physics 2024-12-11 Thomas Barois , A. Boucherie , L. Tadrist , H. Kellay

We analyze a one-dimensional spin-string model, in which string oscillators are linearly coupled to their two nearest neighbors and to Ising spins representing internal degrees of freedom. String-spin coupling induces a long-range…

Statistical Mechanics · Physics 2018-01-03 M. Ruiz-Garcia , L. L. Bonilla , A. Prados

We present dynamical effects on conformation in a simple bead-spring model consisting of three beads connected by two stiff springs. The conformation defined by the bending angle between the two springs is determined not only by a given…

Chaotic Dynamics · Physics 2022-06-15 Yoshiyuki Y. Yamaguchi , Tatsuo Yanagita , Tetsuro Konishi , Mikito Toda

Passive transformation of waves via nonlinear systems is ubiquitous in settings ranging from acoustics to optics and electromagnetics. Passivity is of particular importance for responding rapidly to stimuli and nonlinearity enormously…

Materials Science · Physics 2024-07-02 Brianna MacNider , Haning Xiu , Kai Qian , Ian Frankel , Hyunsun Alicia Kim , Nicholas Boechler

We present a non-linear stability analysis of quasi-static slip in a spring-block model. The sliding interface is governed by rate- and state-dependent friction, with an intermediate state evolution law that spans between aging and slip…

Geophysics · Physics 2024-07-25 Federico Ciardo , Robert C. Viesca

Photonic information processing demands programmable multiport interferometers capable of implementing arbitrary transfer matrices, for which planar meshes of error-sensitive Mach-Zehnder interferometers are usually exploited. We propose an…

Optics · Physics 2020-06-02 Suren A. Fldzhyan , Mikhail Yu. Saygin , Sergei P. Kulik

Bi-stable objects that are pushed between states by an external field are often used as a simple model to study memory formation in disordered materials. Such systems, called hysterons, are typically treated quasistatically. Here, we…

Soft Condensed Matter · Physics 2023-08-31 Varda F. Hagh , Chloe W. Lindeman , Chi Ian Ip , Sidney R. Nagel

Additive noise is known to produce counter-intuitive behaviors in nonlinear dynamical systems. Previously, it was shown that systems with a deterministic limit cycle can display bistable switching between metastable states in the presence…

Chaotic Dynamics · Physics 2015-01-26 Michael A. Schwemmer , Jay M. Newby

An increasing interest in molecular structures whose long term dynamics resemble those of bistable mechanical systems promotes the search of possible candidates that may operate as two-state switching units. Of particular interest are the…

Soft Condensed Matter · Physics 2024-12-18 Alexander D. Muratov , Vladik A. Avetisov

The planar bistable device [Tsakonas \textit{et al., Appl. Phys. Lett.}, 2007, {\textbf{90}}, 111913] is known to have two distinct classes of stable equilibria: the diagonal and rotated solutions. We model this device within the…

Soft Condensed Matter · Physics 2015-08-25 Halim Kusumaatmaja , Apala Majumdar