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Exact solution of $D_N$ type quantum Calogero model through a mapping to free harmonic oscillators
$D_N$ type quantum Calogero model through free harmonic oscillators
2011/3/3
We solve the eigenvalue problem of the DN type of Calogero model by mapping it to a set of decoupled quantum harmonic oscillators through a similarity transformation.In particular, we construct the ei...
Moment-Based Analysis of Synchronization in Small-World Networks of Oscillators
Synchronization Oscillators Small-World Networks
2010/4/2
In this paper, we investigate synchronization in a small-world network of coupled nonlinear oscillators. This network is constructed by introducing random shortcuts in a nearest-neighbors ring. The lo...
Stability and Bifurcation Analysis of Coupled Fitzhugh-Nagumo Oscillators
Coupled Fitzhugh-Nagumo Oscillators Hindmarsh-Rose Discriminant Variety Morris-Lecar
2010/4/1
Neurons are the central biological objects in understanding how the brain works. The famous Hodgkin-Huxley model, which describes how action potentials of a neuron are initiated and propagated, consis...