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pro vyhledávání: '"Rand, Richard H."'
We study the phenomenon of synchronization in pairs of doubly clamped, mechanically coupled silicon micro-oscillators. A continuous-wave laser beam is used to drive the micro-beams into limit cycle oscillations and to detect the oscillations using in
Externí odkaz:
http://arxiv.org/abs/2207.09376
In this work, we experimentally investigate the dynamics of pairs of opto-thermally driven, mechanically coupled, doubly clamped, silicon micromechanical oscillators, and numerically investigate the dynamics of the corresponding lumped-parameter mode
Externí odkaz:
http://arxiv.org/abs/2112.15213
The delayed Duffing equation $\ddot{x}(t)+x(t-T)+x^3(t)=0$ is shown to possess an infinite and unbounded sequence of rapidly oscillating, asymptotically stable periodic solutions, for fixed delays such that $T^2<\tfrac{3}{2}\pi^2$. In contrast to sev
Externí odkaz:
http://arxiv.org/abs/1908.06533
Autor:
Fiedler, Bernold, Nieto, Alejandro López, Rand, Richard H., Sah, Si Mohamed, Schneider, Isabelle, de Wolff, Babette
We explore stability and instability of rapidly oscillating solutions $x(t)$ for the hard spring delayed Duffing oscillator $$x''(t)+ ax(t)+bx(t-T)+x^3(t)=0.$$ Fix $T>0$. We target periodic solutions $x_n(t)$ of small minimal periods $p_n=2T/n$, for
Externí odkaz:
http://arxiv.org/abs/1906.06602
Motivated by the dynamics of micro-scale oscillators with thermo-optical feedback, a simplified third order model, capturing the key features of these oscillators is developed, where each oscillator consists of a displacement variable coupled to a te
Externí odkaz:
http://arxiv.org/abs/1904.12033
Understanding how delayed information impacts queueing systems is an important area of research. However, much of the current literature neglects one important feature of many queueing systems, namely non-stationary arrivals. Non-stationary arrivals
Externí odkaz:
http://arxiv.org/abs/1701.05443
In this work we investigate the dynamics of the nonlinear DDE (delay-differential equation) x''(t)+x(t-T)+x(t)^3=0 where T is the delay. For T=0 this system is conservative and exhibits no limit cycles. For T>0, no matter how small, an infinite numbe
Externí odkaz:
http://arxiv.org/abs/1701.00201
Delay or queue length information has the potential to influence the decision of a customer to use a service system. Thus, it is imperative for service system managers to understand how the information that they provide will affect the performance of
Externí odkaz:
http://arxiv.org/abs/1610.01972
Autor:
Sah, Si Mohamed, Rand, Richard H.
This work concerns the dynamics of nonlinear systems that are subjected to delayed self-feedback. Perturbation methods applied to such systems give rise to slow flows which characteristically contain delayed variables. We consider two approaches to a
Externí odkaz:
http://arxiv.org/abs/1601.01853
Publikováno v:
In International Journal of Non-Linear Mechanics January 2021 128
