A graph‐theoretic method to stabilize the delayed coupled systems on networks based on periodically intermittent control
Sign Up to like & getrecommendations! Published in 2017 at "Mathematical Methods in The Applied Sciences"
DOI: 10.1002/mma.4488
Abstract: This paper mainly focus on the exponential stabilization problem of coupled systems on networks with mixed time-varying delays. Periodically intermittent control is used to control the coupled systems on networks with mixed time-varying delays. Moreover,… read more here.
Keywords: graph theoretic; systems networks; intermittent control; periodically intermittent ... See more keywords
Heteroclinic and homoclinic solutions for nonlinear second-order coupled systems with $$\phi $$-Laplacians
Sign Up to like & getrecommendations! Published in 2021 at "Computational and Applied Mathematics"
DOI: 10.1007/s40314-021-01556-w
Abstract: In this paper we present sufficient conditions for the existence of heteroclinic or homoclinic solutions for second order coupled systems of differential equations on the real line. We point out that it is required only… read more here.
Keywords: order coupled; heteroclinic homoclinic; second order; homoclinic solutions ... See more keywords
On Ulam’s Stability for a Coupled Systems of Nonlinear Implicit Fractional Differential Equations
Sign Up to like & getrecommendations! Published in 2019 at "Bulletin of the Malaysian Mathematical Sciences Society"
DOI: 10.1007/s40840-018-0625-x
Abstract: In this manuscript, we study the existence, uniqueness and various kinds of Ulam stability including Ulam–Hyers stability, generalized Ulam–Hyers stability, Ulam–Hyers–Rassias stability and generalized Ulam–Hyers–Rassias stability of the solutions to a nonlinear coupled systems of… read more here.
Keywords: fractional differential; ulam stability; implicit fractional; stability ... See more keywords
Controlling multistability in coupled systems with soft impacts
Sign Up to like & getrecommendations! Published in 2017 at "International Journal of Mechanical Sciences"
DOI: 10.1016/j.ijmecsci.2016.12.022
Abstract: Abstract In this paper we present an influence of discontinuous coupling on the dynamics of multistable systems. Our model consists of two periodically forced oscillators that can interact via soft impacts. The controlling parameters are… read more here.
Keywords: distance; multistability coupled; impacts controlling; controlling multistability ... See more keywords
New results on stability of random coupled systems on networks with Markovian switching
Sign Up to like & getrecommendations! Published in 2019 at "Nonlinear Analysis: Hybrid Systems"
DOI: 10.1016/j.nahs.2019.01.004
Abstract: Abstract This paper aims to investigate the stability of random coupled systems on networks with Markovian switching (RCSNM), which is driven by general noise instead of white noise. By using Lyapunov method, graph-theoretical technique as… read more here.
Keywords: stability random; stability; systems networks; random coupled ... See more keywords
Razumikhin method to stability of delay coupled systems with hybrid switching diffusions
Sign Up to like & getrecommendations! Published in 2020 at "Nonlinear Analysis: Hybrid Systems"
DOI: 10.1016/j.nahs.2020.100934
Abstract: Abstract Delay coupled systems have received a great deal of attention in recent years. However, delay coupled systems with hybrid switching diffusions (DCSHSD) have rarely been discussed and are still important. Thus, this paper is… read more here.
Keywords: hybrid switching; switching diffusions; delay coupled; systems hybrid ... See more keywords
Synchronization of stochastic coupled systems with time-varying coupling structure on networks via discrete-time state feedback control
Sign Up to like & getrecommendations! Published in 2018 at "Neurocomputing"
DOI: 10.1016/j.neucom.2018.01.035
Abstract: Abstract This paper is concerned with the exponential synchronization of stochastic coupled systems on networks. Time-varying coupling structure of coupled systems and discrete-time state feedback control are focuses and difficulties of our research. Based on… read more here.
Keywords: synchronization stochastic; varying coupling; time varying; time ... See more keywords
Efficient seismic reliability analysis of large-scale coupled systems including epistemic and aleatory uncertainties
Sign Up to like & getrecommendations! Published in 2019 at "Soil Dynamics and Earthquake Engineering"
DOI: 10.1016/j.soildyn.2018.10.010
Abstract: Abstract Reliability analysis of large coupled systems is a challenging task in dam safety. Not only the number of random variables is increased, but also a complex numerical model makes the simulations computationally expensive. To… read more here.
Keywords: coupled systems; dam; analysis large; reliability analysis ... See more keywords
Ill-matched timescales in coupled systems can induce oscillation suppression.
Sign Up to like & getrecommendations! Published in 2021 at "Chaos"
DOI: 10.1063/5.0059170
Abstract: We explore the behavior of two coupled oscillators, considering combinations of similar and dissimilar oscillators, with their intrinsic dynamics ranging from periodic to chaotic. We first investigate the coupling of two different real-world systems, namely,… read more here.
Keywords: ill matched; suppression; oscillation suppression; matched timescales ... See more keywords
Periodic solutions for feedback control coupled systems on networks
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DOI: 10.1080/00036811.2021.1921745
Abstract: This paper is concerned with the existence of periodic solutions for feedback control coupled systems on networks (FCCSNs) by a novel approach, which is made up of the continuation theorem of coinc... read more here.
Keywords: systems networks; solutions feedback; periodic solutions; feedback control ... See more keywords
Emerging unitary evolutions in dissipatively coupled systems
Sign Up to like & getrecommendations! Published in 2020 at "Physical Review A"
DOI: 10.1103/physreva.101.022101
Abstract: Having a broad range of methods available for implementing unitary operations is crucial for quantum information tasks. We study a dissipative process commonly used to describe dissipatively coupled systems and show that the process can… read more here.
Keywords: unitary evolutions; process; emerging unitary; coupled systems ... See more keywords