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Actions for an Hierarchy of Attractive Nonlinear Oscillators Including the Quartic Oscillator in 1+1 Dimensions
Actions Hierarchy of Attractive Nonlinear Oscillators the Quartic Oscillator 1+1 Dimensions Mathematical Physics
2012/4/23
In this paper, we present an explicit form in terms of end-point data for the classical action $S_{2n}$ evaluated on extremals satisfying the Hamilton-Jacobi equation for each member of a hierarchy of...
Dynamical quorum-sensing and synchronization of nonlinear oscillators coupled through an external medium
Dynamical quorum-sensing synchronization of nonlinear oscillators external medium
2010/12/28
Many biological and physical systems exhibit population-density dependent transitions to syn-
chronized oscillations in a process often termed \dynamical quorum sensing". Synchronization
frequently ...
Dynamical quorum-sensing and synchronization of nonlinear oscillators coupled through an external medium
Dynamical quorum-sensing nonlinear oscillators coupled
2011/1/5
Many biological and physical systems exhibit population-density dependent transitions to synchronized oscillations in a process often termed "dynamical quorum sensing". Synchronization frequently aris...
Coupled nonlinear oscillators: metamorphoses of amplitude profiles. The case of the approximate effective equation
Coupled nonlinear oscillators metamorphoses of amplitude profiles approximate effective equation
2010/12/28
We study dynamics of two coupled periodically driven oscillators. Im-portant example of such a system is a dynamic vibration absorber which consists of a small mass attached to the primary vibrating s...
On two superintegrable nonlinear oscillators in N dimensions
Mathematical Physics (math-ph) Exactly Solvable and Integrable Systems (nlin.SI)
2010/11/10
We consider the classical superintegrable Hamiltonian system given by $H=T+U={p^2}/{2(1+\lambda q^2)}+{{\omega}^2 q^2}/{2(1+\lambda q^2)}$, where U is known to be the "intrinsic" oscillator potential ...
Steady-states of nonlinear oscillators based on homotopic process with generalized inverses
steady-state response nonlinear oscillator Newton iteration
2010/9/16
For autonomous oscillators, we propose an algorithm to compute their steady-state responses by homotopic process with generalized inverses.In the Newton iterations of the process the computing procedu...
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...