Keyword

normal forms

Description: Simplified mathematical representations of dynamical systems used to analyze their qualitative behavior near equilibrium points or other structures.

Primary topic: Advanced Differential Equations and Dynamical Systems (20%)

Wikidata ID: wiki/Q18354536

OpenAlex ID: keywords/normal-forms

The Theory of Matrices

1984 · Felix R. Gantmacher · UCLA - Biblioteca de Ciencias y Tecnologia Felix Morales Bueno · 8,473

Foundations of databases

1994 · Serge Abiteboul, Richard Hull, et al. · 3,461

A Computing Procedure for Quantification Theory

1960 · Martin Davis, Hilary Putnam · Journal of the ACM · 2,654

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Geometric singular perturbation theory for ordinary differential equations

1979 · Neil Fenichel · Journal of Differential Equations · 2,385

The Hopf Bifurcation and Its Applications

1976 · J. E. Marsden, M. McCracken · Applied mathematical sciences · 2,306

Random dynamical systems

2020 · Interdisciplinary mathematical sciences · 2,127

Elements of Applied Bifurcation Theory

1998 · Kuznetsov, Yu A · Applied Mathematical Sciences · 1,635

Formal Languages and Their Relation to Automata

1969 · John E. Hopcroft, Jeffrey D. Ullman · CERN Document Server (European Organization for Nuclear Research) · 1,360

The double scroll family

1986 · L. Chua, M. Komuro, et al. · IEEE Transactions on Circuits and Systems · 1,277

Singularities and Groups in Bifurcation Theory

1985 · Martin Golubitsky, David G. Schaeffer · Applied mathematical sciences · 1,276

Geometric singular perturbation theory

1995 · Christopher K. R. T. Jones · Lecture notes in mathematics · 1,156

Interval valued fuzzy sets based on normal forms

1986 · I.B. Turksen · Fuzzy Sets and Systems · 1,090

Nonlinear Control Systems II

1999 · Alberto Isidori · Communications and control engineering/Communications and control engineering series · 1,073

Switched Linear Systems: Control and Design

2006 · IEEE Transactions on Automatic Control · 1,031

Simplification by Cooperating Decision Procedures

1979 · Greg Nelson, Derek C. Oppen · ACM Transactions on Programming Languages and Systems · 909

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Spectral Asymptotics in the Semi-Classical Limit

1999 · M. Dimassi, J. Sjostrand · Cambridge University Press eBooks · 897

On the Algebraic Problem Concerning the Normal Forms of Linear Dynamical Systems

1936 · John Williamson · American Journal of Mathematics · 849

Qualitative Theory of Planar Differential Systems

2006 · Dumortier, Freddy, Llibre, Jaume, et al. · Springer eBooks · 848

Stochastic inversion transduction grammars and bilingual parsing of parallel corpora

1997 · Dekai Wu · 841

Elements of Applied Bifurcation Theory

1995 · Yuri A. Kuznetsov · Applied mathematical sciences · 813

The theory of matrices : with applications

1985 · Peter Lancaster, M. Tismenetsky · 788

Multiple Time Scale Dynamics

2015 · Christian Kuehn · Applied mathematical sciences · 774

Normal Forms and Bifurcation of Planar Vector Fields

1994 · Shui-Nee Chow, Chengzhi Li, et al. · Cambridge University Press eBooks · 728

Rewrite Systems

1990 · Nachum DERSHOWITZ, Jean-Pierre JOUANNAUD · Elsevier eBooks · 580

Lectures on Symplectic Manifolds

1977 · Alan Weinstein · Regional conference series in mathematics · 575

Works count: 12,480

Citation count: 178,300