Results 61 to 70 of about 7,901 (195)
An Algorithm for Higher Order Hopf Normal Forms
Shock and Vibration, 1995 Normal form theory is important for studying the qualitative behavior of nonlinear oscillators. In some cases, higher order normal forms are required to understand the dynamic behavior near an equilibrium or a periodic orbit.
A.Y.T. Leung, T. Ge
doaj +1 more source
On the Dirichlet problem for a Duffing type equation
Electronic Journal of Qualitative Theory of Differential Equations, 2011 We use direct variational method in order to investigate the dependence on parameter for the solution for a Duffing type equation with Dirichlet boundary value conditions.
Marek Galewski
doaj +1 more source
Analysis of nonlinear oscillators in the frequency domain using volterra series Part II : identifying and modelling jump Phenomenon [PDF]
, 2009 In this the second part of the paper, a common and severe nonlinear phenomenon called jump, a behaviour associated with the Duffing oscillator and the multi-valued properties of the response solution, is investigated.
Billings, S.A., Li, L.M.
core
Quantum chaos in open systems: a quantum state diffusion analysis
, 1995 Except for the universe, all quantum systems are open, and according to quantum state diffusion theory, many systems localize to wave packets in the neighborhood of phase space points. This is due to decoherence from the interaction with the environment,
Anastopoulos C +26 more
core +2 more sources
MathematicsMillimeter-wave technology helps achieve antenna miniaturization and high gain, but it is limited by factors such as short wavelength, high transmission loss, and high signal-to-noise ratio, which put higher requirements on the accuracy and computing ...
Tai An +5 more
doaj +1 more source
On Duffing equation with random perturbations
Nonlinear Analysis, 2010 We consider a family of particles with different initial states and/or velocities whose dynamics is described by a modified Duffing equation with random perturbations.
A. Ambrazevičius +2 more
doaj +1 more source
High order analysis of nonlinear periodic differential equations
, 2003 In this letter we apply a method recently devised in \cite{aapla03} to find precise approximate solutions to a certain class of nonlinear differential equations.
Amore +9 more
core +1 more source
Invariant Tori of Duffing-Type Equations
Journal of Differential Equations, 1998 This note is an announcement of a new result of the author's Ph.D-thesis finished before the spring of 1995 in the mathematics department of Peking university. The author considers the generalized Duffing equation of the type \[ {d^2 x\over dt^2}+ 2^{2n+ 1} +\sum^{2n}_{k= 0} p_k(t) x^k= 0,\tag{\(*\)} \] where the coefficient functions \(p_k(t)\), \((k=
openaire +2 more sources
Dirichlet boundary value problem for Duffing's equation
Electronic Journal of Qualitative Theory of Differential Equations, 2013 We use direct variational method in order to investigate the dependence on parameter for the solution for a Duffing type equation with Dirichlet boundary value conditions.
Piotr Kowalski
doaj +1 more source
Periodic property of the time-fractional Kundu–Mukherjee–Naskar equation
Results in Physics, 2020 The Kundu–Mukherjee–Naskar equation (KMN) can model the data transmission in birefringent fibers through molecules or pulses in a few Femto-seconds. A fractional modification with Riemann-Liouville time-fractional derivative is suggested to take into ...
Ji-Huan He, Yusry O. El-Dib
doaj +1 more source