nonlinear perturbation

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• Nonlinear control — is the area of control engineering specifically involved with systems that are nonlinear, time variant, or both. Many well established analysis and design techniques exist for LTI systems (e.g., root locus, Bode plot, Nyquist criterion, state… …   Wikipedia

• Nonlinear Dynamics (journal) — Nonlinear Dynamics, An International Journal of Nonlinear Dynamics and Chaos in Engineering Systems   …   Wikipedia

• Perturbation theory — This article describes perturbation theory as a general mathematical method. For perturbation theory as applied to quantum mechanics, see perturbation theory (quantum mechanics). Perturbation theory comprises mathematical methods that are used to …   Wikipedia

• Nonlinear system — Not to be confused with Non linear editing system. This article describes the use of the term nonlinearity in mathematics. For other meanings, see nonlinearity (disambiguation). In mathematics, a nonlinear system is one that does not satisfy the… …   Wikipedia

• Cosmological perturbation theory — See also: structure formation , cosmic microwave background radiation , and general relativity In physical cosmology, cosmological perturbation theory is the theory by which the evolution of structure is understood in the big bang model. It… …   Wikipedia

• Kolmogorov–Arnold–Moser theorem — The Kolmogorov–Arnold–Moser theorem is a result in dynamical systems about the persistence of quasi periodic motions under small perturbations. The theorem partly resolves the small divisor problem that arises in the perturbation theory of… …   Wikipedia

• Modulational instability — In the field of nonlinear optics, modulational instability is a phenomenon whereby deviations from an optical waveform are reinforced by nonlinearity, leading to the generation of spectral sidebands and the eventual breakup of the waveform into a …   Wikipedia

• Cnoidal wave — US Army bombers flying over near periodic swell in shallow water, close to the Panama coast (1933). The sharp crests and very flat troughs are characteristic for cnoidal waves. In fluid dynamics, a cnoidal wave is a nonlinear and exact periodic… …   Wikipedia

• Soliton (optics) — In optics, the term soliton is used to refer to any optical field that does not change during propagation because of a delicate balance between nonlinear and linear effects in the medium. There are two main kinds of solitons: spatial solitons:… …   Wikipedia

• Exact solutions in general relativity — In general relativity, an exact solution is a Lorentzian manifold equipped with certain tensor fields which are taken to model states of ordinary matter, such as a fluid, or classical nongravitational fields such as the electromagnetic field.… …   Wikipedia

• Orr–Sommerfeld equation — The Orr–Sommerfeld equation, in fluid dynamics, is an eigenvalue equation describing the linear two dimensional modes of disturbance to a viscous parallel flow. The solution to the Navier–Stokes equations for a parallel, laminar flow can become… …   Wikipedia