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西安电子科技大学高频电子线路课件chapter8 Oscillators。
Dynamics of two van der Pol oscillators coupled via a bath
Nonlinear Oscillator Floquet Stability Bifurcation
2015/8/27
We investigate the existence and stability of the in-phase and out-of-phase modes for parameters ? > 0 and k > 0. To this end we use Floquet theory and numerical integration. Surprisingly, our results...
Dynamics of four coupled phase-only oscillators
MEMS oscillators Nonisolated equilibria Phase-locked motion
2015/8/27
We study the dynamics of a system of four coupled phase-only oscillators. This system is analyzed using phase differ-ence variables in a phase space that has the topology of a three-dimensional torus....
Trigonometric simplification of a class of conservative nonlinear oscillators
Nonlinear normal modes Stability Trigonometrification
2015/8/27
Thispaperdealswithaclassofconservative nonlinear oscillators of the form ¨ x(t) + f (x(t)) = 0,where f (x) is analytic. A transformation of time fromt to a new time coordinate τ is defined such that p...
Dynamics of three coupled limit cycle oscillators with application to artificial intelligence
MEMS oscillators Associative memory Phase-locked motion Coupled oscillators
2015/8/27
We study a system of three limit cycle oscillators which exhibits two stable steady states. The system is modeled by both phase-only oscillators and by van der Pol oscillators. We obtain and compare t...
Dynamics of a ring of three coupled relaxation oscillators
Coupled oscillators Nonlinear vibrations Bifurcations Perturbations
2015/8/27
he dynamics of a ring of three identical relaxation oscillators is shown to exhibit a variety of periodic motions, including clockwise and counter-clockwise wave-like modes, and a synchronous mode in ...
Dynamics of a ring network of phase-only oscillators
Synchronization Coupled oscillators Networks
2015/8/27
We investigate the existence, stability and bifurcation of phase-locked motions in a ring network consisting of phase-only oscillators arranged in multiple simple rings (sub-rings)which are themselves...
A pair of van der Pol oscillators coupled by fractional derivatives
Fractional calculus Fractional derivative Coupled oscillators Perturbation methods
2015/8/27
Weconsiderthestabilityofthein-phaseand out-of-phase modes of a pair of fractionally-coupled van der Pol oscillators:x ?? −? ? 1−x 2 ? x ? +x = ?γ D α (y −x) (1)y ?? −? ? 1ͨ...
Dynamics of microbubble oscillators with delay coupling
Microbubble Differential delay equation Perturbation theory Hopf bifurcation
2015/8/27
wo vibrating bubbles submerged in a fluid influence each others’ dynamics via sound waves in the fluid. Due to finite sound speed, there is a delay between one bubble’s oscillation and the other’s. Th...
Entrainment of Micromechanical Limit Cycle Oscillators in the Presence of Frequency Instability
Limit cycles micromechanical devices optical resonators oscillators thermomechanical processes
2015/8/27
The nonlinear dynamics of micromechanical oscil-lators are explored experimentally. Devices consist of singly and doubly supported Si beams, 200nm thick and 35 μm long.When illuminated within a laser ...
Two Paths to Isochronicity in a Class of One Degree of Freedom Oscillators
Two Paths Isochronicity Class Freedom Oscillators
2015/8/26
We propose a class of problems in nonlinear vibrations re-lated to avoiding undesirable hysteresis and jump phenomena by designingan oscillatorfor whichthe backbone curve is a straight vertical line.
Master-Slave Locking of Optomechanical Oscillators over a Long Distance
Master-Slave Locking Optomechanical Oscillators Long Distance
2015/8/26
Frequency locking and other phenomena emerging from nonlinear interactions between mechanical oscillators are of scientific and technological importance. However, existing schemes to observe such beha...
Developmental acquisition of entrainment skills in robot swinging using van der Pol oscillators
van der Pol oscillator swinging robot entrainment skills degrees of freedom problem
2015/7/30
In this study we investigated the effects of different morphological configurations on a robot swinging task using van der Pol oscillators. The task was examined using two separate degrees of freedom ...
All-Silica Photonic Bandgap Fiber Oscillators and Amplifiers
Fiber design and fabrication Fiber characterization
2015/5/22
We report on oscillators and amplifiers based on all-silica singlemode, large mode area photonic bandgap fibers elaborated by the modified chemical vapour deposition process.
XPM-Induced Spectral Distortion in High Efficiency,Picosecond,Fiber Optical Parametric Oscillators
XPM-Induced Spectral Distortion High Efficiency Fiber Optical Parametric Oscillators
2015/5/15
We describe a 230nm tunable fiber optical parametric oscillator (FOPO) using an 8ps pump laser. The FOPO generates 2-4ps pulses with conversion efficiency as high as 20%. The output spectrum exhibits ...