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Nonlinear difference equations -- Numerical solutions.   2
 

Nonlinear differential equations -- See Differential equations, Nonlinear


  1
 

Nonlinear diffusion equation -- See Burgers equation


  1
 

Nonlinear Dynamic -- See Nonlinear Dynamics


The study of systems which respond disproportionately (nonlinearly) to initial conditions or perturbing stimuli. Nonlinear systems may exhibit "chaos" which is classically characterized as sensitive dependence on initial conditions. Chaotic systems, while distinguished from more ordered periodic systems, are not random. When their behavior over time is appropriately displayed (in "phase space"), constraints are evident which are described by "strange attractors". Phase space representations of chaotic systems, or strange attractors, usually reveal fractal (FRACTALS) self-similarity across time scales. Natural, including biological, systems often display nonlinear dynamics and chaos
  1
 

Nonlinear Dynamics -- See Also Fractals


Patterns (real or mathematical) which look similar at different scales, for example the network of airways in the lung which shows similar branching patterns at progressively higher magnifications. Natural fractals are self-similar across a finite range of scales while mathematical fractals are the same across an infinite range. Many natural, including biological, structures are fractal (or fractal-like). Fractals are related to "chaos" (see NONLINEAR DYNAMICS) in that chaotic processes can produce fractal structures in nature, and appropriate representations of chaotic processes usually reveal self-similarity over time
  1
Nonlinear Dynamics.   45
Fluid mechanics {For general continuum mechanics, see 74Axx, or other parts of 74-XX} -- Hydrodynamic stability -- Nonlinear effects. : Dynamics near the subcritical transition of the 3D Couette flow I : below threshold case / Jacob Bedrossian, Pierre Germain, Nader Masmoudi  2020 1
Partial differential equations -- Spectral theory and eigenvalue problems -- Nonlinear eigenvalue problems, nonlinear spectral theory. : Nonlinear elliptic partial differential equations : workshop in celebration of Jean-Pierre Gossez's 65th birthday, September 2-4, 2009, Université libre de Bruxelles, Belgium / Denis Bonheure [and others], editors  2011 1
 

Nonlinear electric circuits -- See Electric circuits, Nonlinear


  1
 

Nonlinear electric networks -- See Electric networks, Nonlinear


  1
Partial differential equations -- Elliptic equations and systems -- Nonlinear elliptic equations.   3
Nonlinear equation   2
 

Nonlinear equations of evolution -- See Evolution equations, Nonlinear


  1
 

Nonlinear evolution equations -- See Evolution equations, Nonlinear


  1
Nonlinear functional analysis   25
Nonlinear functional analysis -- Congresses.   9
Nonlinear functional analysis -- Periodicals   2
 

Nonlinear heat flow equation -- See Burgers equation


  1
Nonlinear integral equations.   3
 

Nonlinear logic -- See Fuzzy logic


  1
Nonlinear mechanics.   44
Nonlinear mechanics -- Congresses.   13
Nonlinear mechanics -- Matematics : Nonlinear computational solid mechanics / Jamshid Ghaboussi, David A. Pecknold, Xiping Steven Wu  2017 1
Nonlinear mechanics -- Mathematical models.   2
Nonlinear mechanics -- Periodicals   2
 

Nonlinear Model -- See Nonlinear Dynamics


The study of systems which respond disproportionately (nonlinearly) to initial conditions or perturbing stimuli. Nonlinear systems may exhibit "chaos" which is classically characterized as sensitive dependence on initial conditions. Chaotic systems, while distinguished from more ordered periodic systems, are not random. When their behavior over time is appropriately displayed (in "phase space"), constraints are evident which are described by "strange attractors". Phase space representations of chaotic systems, or strange attractors, usually reveal fractal (FRACTALS) self-similarity across time scales. Natural, including biological, systems often display nonlinear dynamics and chaos
  1
 

Nonlinear Models -- See Nonlinear Dynamics


The study of systems which respond disproportionately (nonlinearly) to initial conditions or perturbing stimuli. Nonlinear systems may exhibit "chaos" which is classically characterized as sensitive dependence on initial conditions. Chaotic systems, while distinguished from more ordered periodic systems, are not random. When their behavior over time is appropriately displayed (in "phase space"), constraints are evident which are described by "strange attractors". Phase space representations of chaotic systems, or strange attractors, usually reveal fractal (FRACTALS) self-similarity across time scales. Natural, including biological, systems often display nonlinear dynamics and chaos
  1
  Nonlinear operators -- 3 Related Subjects   3
Nonlinear operators.   16
Operator theory -- Nonlinear operators and their properties {For global and geometric aspects, see 49J53, 58-XX, especially 58Cxx} -- Fixed-point theorems [See also 37C25, 54H25, 55M20, 58C30]. : Conformal graph directed Markov systems on Carnot groups / Vasilionis Chousionis, Jeremy Tyson, Mariusz Urbanski  2020 1
Operator theory -- Nonlinear operators and their properties -- Nonlinear operators and their properties. : Topics in functional analysis and algebra : USA-Uzbekistan Conference on Analysis and Mathematical Physics, May 20-23, 2014, California State University, Fullerton, CA / Bernard Russo [and three others], editors    1
Nonlinear optical spectroscopy. : Handbook of biomedical nonlinear optical microscopy / edited by Barry R. Masters, Peter T.C. So  2008 1
  Nonlinear optics -- 5 Related Subjects   5
Nonlinear optics.   82
Nonlinear optics -- Congresses.   6
Nonlinear optics -- Handbooks, manuals, etc : Handbook of organic materials for optical and (opto)electronic devices  2019 1
Nonlinear optics -- Materials.   2
Nonlinear optics -- Materials -- Congresses. : Nonlinear optical materials : principles and applications : Varenna on Lake Como, Villa Monastero, 20-30 July 1993 / edited by V. Degiorgio and C. Flytzanis  1995 1
Nonlinear optics -- Mathematical models. : Hiérarchie de modèles en optique quantique : de Maxwell-Bloch à Schr̈odinger non-linéaire / Brigitte Bidégaray-Fesquet  2006 1
Nonlinear optics -- Periodicals   5
Nonlinear oscillations   15
Nonlinear oscillations -- Congresses : Mathematics of continuous and discrete dynamical systems : AMS Special Session in Honor of Ronald Mickens's 70th Birthday, Nonstandard Finite-Difference Discretizations and Nonlinear Oscillations, January 9-10, 2013, San Diego, CA / Abba B. Gumel, editor  2014 1
Nonlinear oscillations -- Electromechanical analogies. : Nonlinear oscillations in physical systems / Chihiro Hayashi  1985 1
Nonlinear oscillations -- History. : History of nonlinear oscillations theory in France (1880-1940) / Jean-Marc Ginoux  2017 1
Nonlinear oscillations -- Mathematical models   2
Nonlinear oscillations -- Periodicals   2
Nonlinear oscillators.   7
Nonlinear oscillators -- Mathematical models. : The Duffing equation : nonlinear oscillators and their phenomena / edited by Ivana Kovacic, Michael J. Brennan  2011 1
Nonlinear oscillators -- Mathematics. : Equations of phase-locked loops : dynamics on circle, torus and cylinder / Jacek Kudrewicz, Stefan Wąsowicz  2007 1
Partial differential equations -- Parabolic equations and systems -- Nonlinear parabolic equations. : Recent advances in partial differential equations and applications : international conference in honor of Hugo Beirao de Veiga's 70th birthday, February 17-214, 2014, Levico Terme (Trento), Italy / Vicenţiu D. Rădulescu, Adélia Sequeira, Vsevolod A. Solonnikov, editors  2016 1
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