Hamiltonian Approach to Multiple Coupled Nonlinear Oscillators
نویسندگان
چکیده
منابع مشابه
Fourier series expansion for nonlinear Hamiltonian oscillators.
The problem of nonlinear Hamiltonian oscillators is one of the classical questions in physics. When an analytic solution is not possible, one can resort to obtaining a numerical solution or using perturbation theory around the linear problem. We apply the Fourier series expansion to find approximate solutions to the oscillator position as a function of time as well as the period-amplitude relat...
متن کاملApplication of the Hamiltonian approach to nonlinear oscillators with rational and irrational elastic terms
Very recently, Yildirim et al. [1] applied the so-called Hamiltonian approach (HA) to obtain analytical approximate solutions for three well-known nonlinear oscillators. The authors mentioned that this approach is a kind of energy method with a vast application in conservative oscillatory systems, and they applied the approach to nonlinear oscillators with rational and irrational elastic terms....
متن کاملNotes on ‘ Application of the Hamiltonian approach to nonlinear oscillators with rational and irrational elastic terms ’
In a recent paper [A. Yıldırım, Z. Saadatnia, H. Askari, “Application of the Hamiltonian approach to nonlinear oscillators with rational and irrational elastic terms”, Mathematical and Computer Modelling 54 (2011) 697-703] the so-called Hamiltonian approach (HA) was applied to obtain analytical approximate solutions for conservative nonlinear oscillators with certain elastic terms. In this pape...
متن کاملReviving oscillations in coupled nonlinear oscillators.
By introducing a processing delay in the coupling, we find that it can effectively annihilate the quenching of oscillation, amplitude death (AD), in a network of coupled oscillators by switching the stability of AD. It revives the oscillation in the AD regime to retain sustained rhythmic functioning of the networks, which is in sharp contrast to the propagation delay with the tendency to induce...
متن کامل-Symmetric Dimer of Coupled Nonlinear Oscillators
We provide a systematic analysis of a prototypical nonlinear oscillator system respecting PT -symmetry i.e., one of them has gain and the other an equal and opposite amount of loss. Starting from the linear limit of the system, we extend considerations to the nonlinear case for both soft and hard cubic nonlinearities identifying symmetric and anti-symmetric breather solutions, as well as symmet...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Acta Physica Polonica A
سال: 2012
ISSN: 0587-4246,1898-794X
DOI: 10.12693/aphyspola.121.47