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Welcome to the mathematics research hub for papers categorised under MSC 2010 classifications as Mechanics of Particles and Systems. Papers on this page are organised in collections from 70- through 70S, although not all collections may have papers published in that area at this time. Visit the MSC2010 database from MathScinet for a full list of codes.

Jump to the following areas

70-XX: Mechanics of particles and systems 70Axx: Axiomatics, foundations 70Bxx: Kinematics 70Cxx: Statics 70Exx: Dynamics of a rigid body and of multibody systems 70Fxx: Dynamics of a system of particles, including celestial mechanics 70Gxx: General models, approaches, and methods 70Hxx: Hamiltonian and Lagrangian mechanics 70Jxx: Linear vibration theory 70Kxx: Nonlinear dynamics 70Lxx: Random vibrations 70Mxx: Orbital mechanics 70Pxx: Variable mass, rockets 70Qxx: Control of mechanical systems 70Sxx: Classical field theories

Mechanics of particles and systems (70-XX)

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Article
Nonlinear Vibrations of Two-Span Composite Laminated Plates with Equal and Unequal Subspan Lengths
Lingchang Meng, Fengming Li
Advances in Applied Mathematics and Mechanics, Volume 9, Issue 6

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Axiomatics, foundations (70Axx)

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Kinematics (70Bxx)

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Article
Global existence and large time behaviour for the pressureless Euler–Naver–Stokes system in ℝ3
Shanshan Guo, Guochun Wu, Yinghui Zhang
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 154, Issue 1

Article
Efficient Semi-Lagrangian Vlasov-Maxwell Simulations of High Order Harmonic Generation from Relativistic Laser-Plasma Interactions
Götz Lehmann
Communications in Computational Physics, Volume 20, Issue 3

Article
Long Time Behaviour of an Exponential Integrator for a Vlasov-Poisson System with Strong Magnetic Field
Emmanuel Frénod, Sever A. Hirstoaga, Mathieu Lutz, Eric Sonnendrücker
Communications in Computational Physics, Volume 18, Issue 2

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Statics (70Cxx)

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Dynamics of a rigid body and of multibody systems (70Exx)

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Article
SOME MATHEMATICAL MODELS ARISING IN NANO- AND BIO-TECHNOLOGY
YUE CHAN
Bulletin of the Australian Mathematical Society, Volume 82, Issue 1

Article
ON INTERACTION BETWEEN FALLING BODIES AND THE SURROUNDING FLUID
Frank T. Smith, Andrew S. Ellis
Mathematika, Volume 56, Issue 1

Article
MATHEMATICAL MODELLING OF NANOSTRUCTURES
DUANGKAMON BAOWAN
Bulletin of the Australian Mathematical Society, Volume 78, Issue 2

Article
Mathematical modelling of nano-scaled structures, devices and materials
BARRY JAMES COX
Bulletin of the Australian Mathematical Society, Volume 77, Issue 2

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Dynamics of a system of particles, including celestial mechanics (70Fxx)

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Article
SOME MATHEMATICAL MODELS ARISING IN NANO- AND BIO-TECHNOLOGY
YUE CHAN
Bulletin of the Australian Mathematical Society, Volume 82, Issue 1

Article
ON INTERACTION BETWEEN FALLING BODIES AND THE SURROUNDING FLUID
Frank T. Smith, Andrew S. Ellis
Mathematika, Volume 56, Issue 1

Article
MATHEMATICAL MODELLING OF NANOSTRUCTURES
DUANGKAMON BAOWAN
Bulletin of the Australian Mathematical Society, Volume 78, Issue 2

Article
Mathematical modelling of nano-scaled structures, devices and materials
BARRY JAMES COX
Bulletin of the Australian Mathematical Society, Volume 77, Issue 2

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General models, approaches, and methods (70Gxx)

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Article
Topological structures of large-scale interacting systems via uniform functions and forms
Kenichi Bannai, Yukio Kametani, Makiko Sasada
Forum of Mathematics, Sigma, Volume 12

Article
Non-local approximation of free-discontinuity problems in linear elasticity and application to stochastic homogenisation
Roberta Marziani, Francesco Solombrino
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 154, Issue 4

Article
DIFFERENTIAL GERSTENHABER–BATALIN–VILKOVISKY ALGEBRAS FOR CALABI–YAU HYPERSURFACE COMPLEMENTS
Dokyoung Kim, Yesule Kim, Jeehoon Park
Mathematika, Volume 64, Issue 3

Article
MODELLING OF RESISTIVE PULSE SENSING: FLEXIBLE METHODS FOR SUBMICRON PARTICLES
G. R. WILLMOTT, B. G. SMITH
The ANZIAM Journal, Volume 55, Issue 3

Article
FORECASTING WIND AND SOLAR ENERGY ON SHORT TIME SCALES
JING HUANG
Bulletin of the Australian Mathematical Society, Volume 89, Issue 1

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Hamiltonian and Lagrangian mechanics (70Hxx)

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Article
Conservation laws that depend on functions and PDE reduction: Extending Noether $1\tfrac {1}{2}$
Peter E. Hydon, John R. King
European Journal of Applied Mathematics, First View

Article
Agafonov’s theorem for finite and infinite alphabets and probability distributions different from equidistribution
THOMAS SEILLER, JAKOB GRUE SIMONSEN
Ergodic Theory and Dynamical Systems, Volume 45, Issue 11

Article
Non-perturbative reducibility of three-dimensional skew symmetric systems without any non-degeneracy condition
DONGFENG ZHANG, JUNXIANG XU
Ergodic Theory and Dynamical Systems, Volume 45, Issue 9

Article
From Lagrangian products to toric domains via the Toda lattice
Yaron Ostrover, Vinicius G. B. Ramos, Daniele Sepe
Compositio Mathematica, Volume 161, Issue 2

Article
Symmetric tensors on the intersection of two quadrics and Lagrangian fibration
Arnaud Beauville, Antoine Etesse, Andreas Höring, Jie Liu, Claire Voisin
Moduli, Volume 1

Article
Kolmogorov’s theorem for degenerate Hamiltonian systems with Hölder continuous parameters
Jiayin Du, Yong Li, Hongkun Zhang
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Deformational rigidity of integrable metrics on the torus
JOSCHA HENHEIK
Ergodic Theory and Dynamical Systems, Volume 45, Issue 2

Article
Robust transitivity and domination for endomorphisms displaying critical points
C. LIZANA, R. POTRIE, E. R. PUJALS, W. RANTER
Ergodic Theory and Dynamical Systems, Volume 44, Issue 2

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Linear vibration theory (70Jxx)

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Article
Application of Vectorial Wave Method in Free Vibration Analysis of Cylindrical Shells
R. Poultangari, M. Nikkhah-Bahrami
Advances in Applied Mathematics and Mechanics, Volume 9, Issue 5

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Nonlinear dynamics (70Kxx)

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Article
BIFURCATION ANALYSIS OF THE EFFECT OF TYRE INFLATION PRESSURE ON WHEEL SHIMMY WITH MULTIPLE TYRE PROPERTIES CONSIDERED
YIXIN YANG, JAMES KNOWLES, GEORGIOS MAVROS
The ANZIAM Journal, Volume 67

Article
Kolmogorov’s theorem for degenerate Hamiltonian systems with Hölder continuous parameters
Jiayin Du, Yong Li, Hongkun Zhang
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
On the birth and death of algebraic limit cycles in quadratic differential systems
JAUME LLIBRE, REGILENE OLIVEIRA, YULIN ZHAO
European Journal of Applied Mathematics, Volume 32, Issue 2

Article
Escaping orbits are rare in the quasi-periodic Fermi–Ulam ping-pong
MARKUS KUNZE, RAFAEL ORTEGA
Ergodic Theory and Dynamical Systems, Volume 40, Issue 4

Article
DYNAMIC RELATIONSHIP BETWEEN THE MUTUAL INTERFERENCE AND GESTATION DELAYS OF A HYBRID TRITROPHIC FOOD CHAIN MODEL
RASHMI AGRAWAL, DEBALDEV JANA, RANJIT KUMAR UPADHYAY, V. SREE HARI RAO
The ANZIAM Journal, Volume 59, Issue 3

Article
Infinitely many non-radial singular solutions of
Yasuhito Miyamoto
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, Volume 148, Issue 1

Article
Large deviations for the stochastic predator–prey model with nonlinear functional response
M. Suvinthra, K. Balachandran
Journal of Applied Probability, Volume 54, Issue 2

Article
Efficient nonlinear filtering of a singularly perturbed stochastic hybrid system
Jun H. Park, Boris Rozovskii, Richard B. Sowers
LMS Journal of Computation and Mathematics, Volume 14

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Random vibrations (70Lxx)

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Article
Burgers' equation by non-local shot noise data
Donatas Surgailis, Wojbor A. Woyczynski
Journal of Applied Probability, Volume 31, Issue A

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Orbital mechanics (70Mxx)

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Variable mass, rockets (70Pxx)

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Control of mechanical systems (70Qxx)

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Classical field theories (70Sxx)

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Article
A rigorous derivation of the Hamiltonian structure for the Vlasov equation
Joseph K. Miller, Andrea R. Nahmod, Nataša Pavlović, Matthew Rosenzweig, Gigliola Staffilani
Forum of Mathematics, Sigma, Volume 11

Article
Higher symmetries of powers of the Laplacian and rings of differential operators
T. Levasseur, J. T. Stafford
Compositio Mathematica, Volume 153, Issue 4

Article
LORENTZIAN GEOMETRY AND PHYSICS IN KASPAROV’S THEORY
KOEN VAN DEN DUNGEN
Bulletin of the Australian Mathematical Society, Volume 93, Issue 2

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MSC 2010: Mechanics of Particles and Systems

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Mechanics of particles and systems (70-XX)

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Axiomatics, foundations (70Axx)

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Kinematics (70Bxx)

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Statics (70Cxx)

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Dynamics of a rigid body and of multibody systems (70Exx)

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Dynamics of a system of particles, including celestial mechanics (70Fxx)

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General models, approaches, and methods (70Gxx)

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Hamiltonian and Lagrangian mechanics (70Hxx)

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Linear vibration theory (70Jxx)

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Nonlinear dynamics (70Kxx)

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Random vibrations (70Lxx)

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Orbital mechanics (70Mxx)

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Variable mass, rockets (70Pxx)

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Control of mechanical systems (70Qxx)

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Classical field theories (70Sxx)

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