Theoretical or Mathematical/ oscillations/ amplitude responsecoupled oscillatorsweakly nonlinear oscillatorsHopf bifurcationcoupling strengthlimit cyclesparameter regimesrest stateuncoupled oscillatorslocal frequencyWe investigate the interaction of a pair of weakly nonlinear oscillators (eg. each near a Hopf ...
Amplitude response of coupled oscillators. Phys. D Nonlinear Phenomena 41, 403–449 (1990). Article ADS MathSciNet Google Scholar Mirollo, R. E. & Strogatz, S. H. Amplitude death in an array of limit-cycle oscillators. J. Stat. Phys. 60, 245–262 (1990). Article ADS MathSciNet ...
Aronson, D.G., Erementrout, G.B., Kopell, N.: Amplitude response of coupled oscillators. Physica D 41, 403–449 (1990) Article MathSciNet MATH Google Scholar Mirollo, R.E., Strogatz, S.H.: Amplitude death in an array of limit-cycle oscillators. J. Stat. Phys. 60, 245–262 ...
(d.o.f) nonlinear energy sink (NES) with nonlinear damping characteristics in annihilating undesired periodic response regimes and simultaneously preserving strongly modulated responses (SMR) in a harmonically excited three d.o.f system consisting of two linear coupled oscillators and an NES attached ...
Phase oscillators are a common starting point for the reduced description of many single neuron models that exhibit a strongly attracting limit cycle. The framework for analysing such models in response to weak perturbations is now particularly well advanced, and has allowed for the development of a...
Generalized projective synchronization of two chaotic systems by using active control In this paper, an active control method is proposed to projective-synchronize two chaotic systems by constructing the response system no matter whether the... GH Li - 《Chaos Solitons & Fractals》 被引量: 191发表...
14. A method comprising: generating an oscillating signal having a target peak amplitude, the oscillating signal being generated in response to a bias control signal; generating the bias control signal based on a reference current, wherein generating the bias control signal comprises: rectifying the...
Results Motifs. We start our discussion by considering the onset of synchronization in small undirected network motifs. In particular we analyze the 2-node motif (representing a pair of coupled oscillators) and two 3-node motifs (the open and the closed triangle). In the case of the open...
For all materials with constant shear response, the differential equations of motion are uncoupled equations typical of simple harmonic oscillators. Hence, exact solutions for the forced vibration of the system can be readily obtained; and for this class, engineering design formulae for the load-...
Analysis and design of complex systems benefit from mathematically tractable models, which are often derived by approximating a nonlinear system with an effective equivalent linear system. Biological oscillators with coupled positive and negative feedback loops, termed hysteresis or relaxation oscillators, ar...