Absolute stability and spatiotemporal long-range order in Floquet systems
نویسندگان
چکیده
منابع مشابه
Absolute stability of third-order systems: A numerical algorithm
The problem of absolute stability is one of the oldest open problems in the theory of control. Even for the particular case of second-order systems a complete solution was presented only very recently. For third-order systems, the most general theoretical results were obtained by Barabanov. He derived an implicit characterization of the “most destabilizing” nonlinearity using a variational appr...
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Alejandro Mendoza-Coto, Daniel A. Stariolo, and Lucas Nicolao Departamento de Física, Universidade Federal do Rio Grande do Sul, CP 15051, 91501-970 Porto Alegre, RS, Brazil Departamento de Física, Universidade Federal do Rio Grande do Sul and National Institute of Science and Technology for Complex Systems, CP 15051, 91501-970 Porto Alegre, RS, Brazil Departamento de Física, Universidade Feder...
متن کاملComment on "Nature of Long-Range Order in Stripe-Forming Systems with Long-Range Repulsive Interactions".
We study two dimensional stripe forming systems with competing repulsive interactions decaying as r(-α). We derive an effective Hamiltonian with a short-range part and a generalized dipolar interaction which depends on the exponent α. An approximate map of this model to a known XY model with dipolar interactions allows us to conclude that, for α<2 long-range orientational order of stripes can e...
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The lambda-omega class of reaction-diffusion equations has received considerable attention because they are more amenable to mathematical investigation than other oscillatory reaction-diffusion systems and include the normal form of any reaction-diffusion system with scalar diffusion close to a standard supercritical Hopf bifurcation. Despite this, detailed studies of the dynamics predicted by ...
متن کاملStability Analysis of Periodically Switched Linear Systems Using Floquet Theory
Stability of a switched system that consists of a set of linear time invariant subsystems and a periodic switching rule is investigated. Based on the Floquet theory, necessary and sufficient conditions are given for exponential stability. It is shown that there exists a slow switching rule that achieves exponential stability if at least one of these subsystems is asymptotically stable. It is al...
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ژورنال
عنوان ژورنال: Physical Review B
سال: 2016
ISSN: 2469-9950,2469-9969
DOI: 10.1103/physrevb.94.085112