zbMATH — the first resource for mathematics

Differential-geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) [See also 53Cxx, 53Dxx, 58Axx] 1493

70G55

Algebraic geometry methods 64

70G60

Dynamical systems methods 122

70G65

Symmetries, Lie-group and Lie-algebra methods 509

70G70

Functional-analytic methods 12

70G75

Variational methods 237

70G99

None of the above, but in this section 531

70Hxx

Hamiltonian and Lagrangian mechanics [See also 37Jxx] 13926

70H03

Lagrange’s equations 2100

70H05

Hamilton’s equations 3992

70H06

Completely integrable systems and methods of integration 1070

70H07

Nonintegrable systems 177

70H08

Nearly integrable Hamiltonian systems, KAM theory 471

70H09

Perturbation theories 229

70H11

Adiabatic invariants 150

70H12

Periodic and almost periodic solutions 260

70H14

Stability problems 301

70H15

Canonical and symplectic transformations 739

70H20

Hamilton-Jacobi equations 1109

70H25

Hamilton’s principle 581

70H30

Other variational principles 515

70H33

Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction 1375

70H40

Relativistic dynamics 1174

70H45

Constrained dynamics, Dirac’s theory of constraints [See also 70F20, 70F25, 70Gxx] 588

70H50

Higher-order theories 113

70H99

None of the above, but in this section 1066

70Jxx

Linear vibration theory 3070

Modal analysis 554

Stability 589

Free motions 488

Forced motions 299

Parametric resonances 109

70J50

Systems arising from the discretization of structural vibration problems 177

70J99

None of the above, but in this section 1028

70Kxx

Nonlinear dynamics [See also 34Cxx, 37-XX] 10311

70K05

Phase plane analysis, limit cycles 673

70K20

Stability 2716

70K25

Free motions 148

70K28

Parametric resonances 300

70K30

Nonlinear resonances 947

70K40

Forced motions 1538

70K42

Equilibria and periodic trajectories 363

70K43

Quasi-periodic motions and invariant tori 193

70K44

Homoclinic and heteroclinic trajectories 192

70K45

Normal forms 127

70K50

Bifurcations and instability 1646

70K55

Transition to stochasticity (chaotic behavior) [See also 37D45] 978

70K60

General perturbation schemes 210

70K65

Averaging of perturbations 185

70K70

Systems with slow and fast motions 176

70K75

Nonlinear modes 89

70K99

None of the above, but in this section 1746

70Lxx

Random vibrations [See also 74H50] 1452

70L05

Random vibrations [See also 74H50] 1451

70L99

None of the above, but in this section 1

70Mxx

Orbital mechanics 3155

70M20

Orbital mechanics 3149

70M99

None of the above, but in this section 4

70Pxx

Variable mass, rockets 743

70P05

Variable mass, rockets 741

70P99

None of the above, but in this section 1

70Qxx

Control of mechanical systems [See also 60Gxx, 60Jxx] 5271

70Q05

Control of mechanical systems [See also 60Gxx, 60Jxx] 5269

70Q99

None of the above, but in this section 0

70Sxx

Classical field theories [See also 37Kxx, 37Lxx, 78-XX, 81Txx, 83-XX] 2282

70S05

Lagrangian formalism and Hamiltonian formalism 936

70S10

Symmetries and conservation laws 287

70S15

Yang-Mills and other gauge theories 781

70S20

More general nonquantum field theories 89

70S99

None of the above, but in this section 55

Overview

General mathematics

History and biography

Mathematical logic and foundations

Combinatorics

Order, lattices, ordered algebraic structures

General algebraic systems

Number theory

Field theory and polynomials

Commutative algebra

Algebraic geometry

Linear and multilinear algebra; matrix theory

Associative rings and algebras

Nonassociative rings and algebras

Category theory, homological algebra

$K$-theory

Group theory and generalizations

Topological groups, Lie groups

Real functions

Measure and integration

Functions of a complex variable

Potential theory

Several complex variables and analytic spaces

Special functions

Ordinary differential equations

Partial differential equations

Dynamical systems and ergodic theory

Difference and functional equations

Sequences, series, summability

Approximation and expansions

Harmonic analysis on Euclidean spaces

Abstract harmonic analysis

Integral transforms, operational calculus

Integral equations

Functional analysis

Operator theory

Calculus of variations and optimal control; optimization

Geometry

Convex and discrete geometry

Differential geometry

General topology

Algebraic topology

Manifolds and cell complexes

Global analysis, analysis on manifolds

Probability theory and stochastic processes

Statistics

Numerical analysis

Computer science

Mechanics of particles and systems

Mechanics of deformable solids

Fluid mechanics

Optics, electromagnetic theory

Classical thermodynamics, heat transfer

Quantum Theory

Statistical mechanics, structure of matter

Relativity and gravitational theory

Astronomy and astrophysics

Geophysics

Operations research, mathematical programming

Game theory, economics, social and behavioral sciences

Biology and other natural sciences

Systems theory; control

Information and communication, circuits

Mathematics education

any	anywhere
cc	classification code
ct	classification text

a & b	logic and	abc*	right wildcard
a \| b	logic or	"ab c"	phrase
!ab	logic not	(ab c)	parentheses

zbMATH — the first resource for mathematics

Examples

Fields

Operators

Mathematics Subject Classification – MSC2010

Overview