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Proceedings of the National Academy of Sciences of the United States of America, ISSN 0027-8424, 9/2017, Volume 114, Issue 38, pp. E7865 - E7874
The discovery of physical laws consistent with empirical observations is at the heart of (applied) science and engineering. These laws typically take the form... 
Geometry | Data analysis | Graph theory | Dynamical systems | Empirical models | dynamical systems | DIMENSIONALITY REDUCTION | data analysis | TENSOR DECOMPOSITIONS | graph theory | MULTIDISCIPLINARY SCIENCES | DYNAMICS | SYSTEMS | geometry | empirical models | COMPONENT ANALYSIS | EIGENMAPS | Mathematical analysis | Methods | Physical Sciences | PNAS Plus
Journal Article
Journal of Sound and Vibration, ISSN 0022-460X, 08/2019, Volume 453, pp. 201 - 213
The system under analysis is composed of an asymmetric rotor, two asymmetric bearings and a nonlinear spring-damper system representing an annular gas seal.... 
Parametric excitation | Rotordynamics | Fixed points | Stability | Nonlinear systems | Normal forms | ACOUSTICS | MECHANICS | ENGINEERING, MECHANICAL | Anisotropy | Mechanical engineering | Analysis | Methods
Journal Article
ACM Transactions on Computational Logic (TOCL), ISSN 1529-3785, 06/2017, Volume 18, Issue 2, pp. 1 - 20
Uniqueness of normal forms (UN = ) is an important property of term rewrite systems. UN = is decidable for ground (i.e., variable-free) systems and undecidable... 
Term rewrite systems | shallow rewrite systems | flat rewrite systems | uniqueness of normal forms | decidability/undecidability | Uniqueness of normal forms | Shallow rewrite systems | Flat rewrite systems | Decidability/undecidability | REDUCTIONS | COMPUTER SCIENCE, THEORY & METHODS | LOGIC
Journal Article
Russian Mathematics, ISSN 1066-369X, 8/2019, Volume 63, Issue 8, pp. 1 - 9
The Lomov regularization method is generalized on weakly nonlinear singularly perturbed problems in the case of intersection of the roots of the characteristic... 
singular perturbance | Mathematics, general | Mathematics | normal form | asymptotic convergence | regularization
Journal Article
IEEE Transactions on Power Systems, ISSN 0885-8950, 03/2018, Volume 33, Issue 2, pp. 2128 - 2139
Journal Article
Russian Journal of Mathematical Physics, ISSN 1061-9208, 4/2013, Volume 20, Issue 2, pp. 138 - 148
In the framework of Lie transforms and the global method of averaging, the normal forms of a multidimensional slow-fast Hamiltonian system are studied in the... 
Theoretical, Mathematical and Computational Physics | Physics | AVERAGING METHOD | ENERGY | HANNAY | PHYSICS, MATHEMATICAL | PERIOD | ANGLES
Journal Article
Sbornik Mathematics, ISSN 1064-5616, 2013, Volume 204, Issue 7, pp. 979 - 1002
The paper deals with extending the Lomov regularization method to classes of singularly perturbed Fredholm-type integro-differential systems, which have not so... 
Asymptotic series | Integro-differential equation | Singular perturbation | Regularizing normal form | MATHEMATICS | singular perturbation | integro-differential equation | regularizing normal form | asymptotic series | Operators (mathematics) | Kernels | Stability | Singularities | Mathematical analysis | Instability | Regularization | Constraining
Journal Article
AIP Conference Proceedings, ISSN 0094-243X, 2010, Volume 1233, Issue 1, pp. 696 - 700
A new computation of the normal forms of Bogdanov-Takens singularities is developed in this paper. In the theoretical model for the nonplanar nonlinear... 
Normal Forms of Bogdanov-Takens | Transformation | Symbolic Computation | MATHEMATICS | EIGENVALUES | NONLINEAR PROBLEMS | CALCULATION METHODS | SINGULARITY | MAPPING | FUNCTIONAL ANALYSIS | OSCILLATIONS | MATHEMATICAL METHODS AND COMPUTING
Conference Proceeding
Applicable Algebra in Engineering, Communication and Computing, ISSN 0938-1279, 12/2010, Volume 21, Issue 6, pp. 459 - 485
Journal Article
Theoretical Computer Science, ISSN 0304-3975, 2007, Volume 372, Issue 2, pp. 196 - 217
The spiking neural P systems are a class of computing devices recently introduced as a bridge between spiking neural nets and membrane computing. In this paper... 
Membrane computing | Universality | Spiking neural P system | Normal form | universality | spiking neural P system | COMPUTER SCIENCE, THEORY & METHODS | normal form | membrane computing
Journal Article
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), ISSN 0302-9743, 1998, Volume 1379, pp. 151 - 165
We present here decidable approximations of sets of descendants and sets of normal forms of Term Rewriting Systems, based on specific tree automata techniques.... 
SUFFICIENT-COMPLETENESS | TERM REWRITING-SYSTEMS | COMPUTER SCIENCE, THEORY & METHODS | TERMINATION | TREE PUSHDOWN-AUTOMATA
Conference Proceeding
International Journal of Nonlinear Sciences and Numerical Simulation, ISSN 1565-1339, 2006, Volume 7, Issue 1, pp. 35 - 58
Journal Article
Mathematical Social Sciences, ISSN 0165-4896, 09/2017, Volume 89, pp. 32 - 42
We study the core of normal form games with a continuum of players and without side payments. We consider the weak-core concept, which is an approximation of... 
EXISTENCE | MARKETS | NONCONVEX PREFERENCES | APPROXIMATE CORES | NONATOMIC GAMES | EQUILIBRIUM POINTS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | ALPHA-CORE | NONEMPTINESS | NASH EQUILIBRIA | SOCIAL SCIENCES, MATHEMATICAL METHODS | ECONOMICS | BANACH-SPACE | Game theory
Journal Article
International Journal of Mechanical Sciences, ISSN 0020-7403, 05/2019, Volume 155, pp. 83 - 97
This work considers analysis of sustained bouncing responses of rotating shafts with nonlinear lateral vibrations due to rotor stator contact. The insight that... 
HARMONIC-BALANCE METHOD | JEFFCOTT ROTOR | SPEED | NONLINEAR ROTOR | INTERNAL RESONANCE PHENOMENA | MECHANICS | VIBRATION | DYNAMICS | ROTOR/STATOR CONTACT | PERIODIC-RESPONSE | CONTINUATION | ENGINEERING, MECHANICAL
Journal Article
Mechanical Systems and Signal Processing, ISSN 0888-3270, 06/2018, Volume 106, p. 430
In this article, wc address the model identification of nonlinear vibratory systems, with a specific focus on systems modeled with distributed nonlinearities,... 
Backbone | Duffing oscillators | Phase locked systems | Identification methods | Cantilever plates | Identification | Order parameters | Parameter identification | Reduced order models | Cantilever beams | Studies | Circular plates | Piezoelectricity | Nonlinear systems
Journal Article
Theoretical Computer Science, ISSN 0304-3975, 01/2017, Volume 659, pp. 1 - 13
A 1-prefix normal word is a binary word with the property that no factor has more 1s than the prefix of the same length; a 0-prefix normal word is defined... 
Lyndon words | Binary languages | Enumeration | Prefix normal forms | Prefix normal words | Pre-necklaces | Binary jumbled pattern matching | COMPUTER SCIENCE, THEORY & METHODS | ALGORITHMS | Equivalence | Mathematical analysis | Rational functions | Mathematical models | Density | Pattern analysis
Journal Article