Harmonic damped oscillators with feedback: a Langevin study
نویسندگان
چکیده
منابع مشابه
Hyperchaotic circuit with damped harmonic oscillators
A simple fourth-order hyperchaotic circuit with damped harmonic oscillators is described. ANP3 and PSpice simulations including an eigenvalue study of the linearized Jacobian are presented together with a hardware implementation. The circuit contains two inductors with series resistance. two ideal capacitors and one non-linear active conductor. The Lyapunov exponents are presented to confirm th...
متن کاملDamped Harmonic Oscillators in the Holomorphic Representation
Quantum dynamical semigroups are applied to the study of the time evolution of harmonic oscillators, both bosonic and fermionic. Explicit expressions for the density matrices describing the states of these systems are derived using the holomorphic representation. Bosonic and fermionic degrees of freedom are then put together to form a supersymmetric oscillator; the conditions that assure supers...
متن کاملUniform Asymptotic Stability of Time-varying Damped Harmonic Oscillators
Abstract. This paper presents sufficient conditions which guarantee that the equilibrium of the damped harmonic oscillator x′′ + h(t)x′ + ωx = 0 is uniformly asymptotically stable, where h : [0,∞) → [0,∞) is locally integrable. These conditions work to suppress the rapid growth of the frictional force expressed by the integral amount of the damping coefficient h. The obtained sufficient conditi...
متن کاملComplex dynamics and multistability in a damped harmonic oscillator with delayed negative feedback.
A center manifold reduction and numerical calculations are used to demonstrate the presence of limit cycles, two-tori, and multistability in the damped harmonic oscillator with delayed negative feedback. This model is the prototype of a mechanical system operating with delayed feedback. Complex dynamics are thus seen to arise in very plausible and commonly occurring mechanical and neuromechanic...
متن کاملThe Heisenberg–langevin Model of a Quantum Damped Harmonic Oscillator with Time-dependent Frequency and Damping Coefficients
We develop a consistent model of a quantum damped harmonic oscillator with arbitrary time-dependent frequency and damping coefficients within the framework of the Heisenberg–Langevin equations with two noncommuting delta-correlated noise operators justifying the choice of the “minimal noise” set of damping coefficients and correlation functions.
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: Journal of Statistical Mechanics: Theory and Experiment
سال: 2009
ISSN: 1742-5468
DOI: 10.1088/1742-5468/2009/10/p10016