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Hierarchical Abstraction of Phase Response Curves of Synchronized Systems of Coupled Oscillators
Coupled Oscillators Response Curves Synchronized Systems
2011/7/6
We prove that a group of injection-locked oscillators, each
modelled using a nonlinear phase macromodel, responds as a single
oscillator to small external perturbations. More precisely, we show that...
Noncommutative oscillators from a Hopf algebra twist deformation. A first principles derivation
Noncommutative oscillators Hopf algebra twist deformation principles derivation
2011/3/3
Noncommutative oscillators are first-quantized through an abelian Drinfel’d twist deformation of a Hopf algebra and its action on a module. Several impor-tant and subtle issues making possible the qua...
Forced Nonlinear Resonance in a System of Coupled Oscillators
Forced Nonlinear Resonance System of Coupled Oscillators
2011/1/19
We consider a resonantly perturbed system of coupled nonlinear oscillators with small dissipation and outer periodic perturbation. We show that for the large time t ∼ "−2 one component of ...
Exact solution of $D_N$ type quantum Calogero model through a mapping to free harmonic oscillators
Exact solution of $D_N$ type quantum Calogero model mapping to free harmonic oscillators
2010/12/28
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...
专著信息
书名
Homoclinic bifurcation of strongly nonlinear oscillators by frequency-incremental method
语种
英文
撰写或编译
作者
Zhang Y.M.,Lu Q.S
第一作者单位
出版社
Comm. Nonlinear Sci. Numer. Simulation, 2003, 8, 1-7 (EI)
出...