activity
20022020
most citedHeterogeneity in oscillator networks: Are smaller worlds easier to synchronize?

848 citations · 993 across the 7 of their papers we have counts for

collaborators

7 papers

nlin.AO2020★ 1 cited

A Frequency-Phase Potential for a Forced STNO Network: an Example of Evoked Memory

Frank Hoppensteadt

The network studied here is based on a standard model in physics, but it appears in various applications ranging from spintronics to neuroscience. When the network is forced by an…

cs.ET2014

Spin Wave Neuroanalog of von Neumann's Microwave Computer

Frank Hoppensteadt

Frequency and phase of neural activity play important roles in the behaving brain. The emerging understanding of these roles has been informed by the design of analog devices that…

cond-mat.mes-hall2013★ 24 cited

Spin wave excitation patterns generated by spin torque oscillators

Ferran Macià, Frank. C. Hoppensteadt, Andrew D. Kent

Spin torque nano oscillators (STNO) are nano-scale devices that can convert a direct current into short wave-length spin-wave excitations in a ferromagnetic layer. We show that arr…

cond-mat.mes-hall2010★ 83 cited

Spin-wave interference patterns created by spin-torque nano-oscillators for memory and computation

F. Macià, A. D. Kent, F. C. Hoppensteadt

Magnetization dynamics in nanomagnets has attracted broad interest since it was predicted that a dc-current flowing through a thin magnetic layer can create spin-wave excitations.…

cond-mat.dis-nn2003★ 848 cited

Heterogeneity in oscillator networks: Are smaller worlds easier to synchronize?

Takashi Nishikawa, Adilson E. Motter, Ying-Cheng Lai +1

Small-world and scale-free networks are known to be more easily synchronized than regular lattices, which is usually attributed to the smaller network distance between oscillators.…

math.DS2003

System of phase oscillators with diagonalizable interaction

Takashi Nishikawa, Frank C. Hoppensteadt

We consider a system of N phase oscillators having randomly distributed natural frequencies and diagonalizable interactions among the oscillators. We show that in the limit of N go…