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Books on the topic 'Hamiltonian problems'

Author: Grafiati

Published: 10 March 2023

Last updated: 31 July 2025

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1

Sanz-Serna, J. M., and M. P. Calvo. Numerical Hamiltonian Problems. Springer US, 1994. http://dx.doi.org/10.1007/978-1-4899-3093-4.

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2

P, Calvo M., ed. Numerical Hamiltonian problems. Chapman & Hall, 1994.

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3

Gignoux, Claude, and Bernard Silvestre-Brac. Solved Problems in Lagrangian and Hamiltonian Mechanics. Springer Netherlands, 2009. http://dx.doi.org/10.1007/978-90-481-2393-3.

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4

Bernard, Silvestre-Brac, and SpringerLink (Online service), eds. Solved Problems in Lagrangian and Hamiltonian Mechanics. Springer Netherlands, 2009.

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5

Greiner, Walter. Classical mechanics: Systems of particles and Hamiltonian dynamics. Springer, 2003.

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6

Ning, Xuanxi. The blocking flow theory and its application to Hamiltonian graph problems. Shaker Verlag, 2006.

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7

Mielke, Alexander. Hamiltonian and Lagrangian flows on center manifolds: With applications to elliptic variational problems. Springer-Verlag, 1991.

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8

Riahi, Hasna. Study of the critical points at infinity arising from the failure of the Palais-Smale condition for n-body type problems. American Mathematical Society, 1999.

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9

Borkar, Vivek S., Vladimir Ejov, Jerzy A. Filar, and Giang T. Nguyen. Hamiltonian Cycle Problem and Markov Chains. Springer New York, 2012. http://dx.doi.org/10.1007/978-1-4614-3232-6.

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10

Goncharov, V. P. Problemy gidrodinamiki v gamilʹtonovom opisanii. Izd-vo Moskovskogo universiteta, 1993.

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11

Suris, Yuri B. The Problem of Integrable Discretization: Hamiltonian Approach. Birkhäuser Basel, 2003. http://dx.doi.org/10.1007/978-3-0348-8016-9.

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12

Suris, Yuri B. The Problem of Integrable Discretization: Hamiltonian Approach. Birkhäuser Basel, 2003.

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13

Bryuno, Aleksandr D. The restricted 3-body problem: Plane periodic orbits. W.de Gruyter, 1994.

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14

Meyer, Kenneth R., and Daniel C. Offin. Introduction to Hamiltonian Dynamical Systems and the N-Body Problem. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-53691-0.

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15

Meyer, Kenneth R., and Glen R. Hall. Introduction to Hamiltonian Dynamical Systems and the N-Body Problem. Springer New York, 1992. http://dx.doi.org/10.1007/978-1-4757-4073-8.

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16

Meyer, Kenneth, Glen Hall, and Dan Offin. Introduction to Hamiltonian Dynamical Systems and the N-Body Problem. Springer New York, 2009. http://dx.doi.org/10.1007/978-0-387-09724-4.

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17

Meyer, Kenneth R. Introduction to Hamiltonian Dynamical Systems and the N-Body Problem. Springer New York, 1992.

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18

Meyer, Kenneth R. Introduction to Hamiltonian dynamical systems and the N-body problem. 2nd ed. Springer, 2009.

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19

Meyer, Kenneth R. Introduction to Hamiltonian dynamical systems and the n-body problem. Springer-Verlag, 1992.

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20

Meyer, Kenneth R. Periodic solutions of the N-body problem. Springer, 1999.

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21

la, Llave Rafael de, and Seara Tere M. 1961-, eds. A geometric mechanism for diffusion in Hamiltonian systems overcoming the large gap problem: Heuristics and rigorous verification on a model. American Mathematical Society, 2006.

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22

Kappeler, Thomas. KdV & KAM. Springer, 2003.

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23

Meyer, Kenneth R. Introduction to Hamiltonian dynamical systems and the N-body problem: With 67 illustrations. Springer-Verlag, 1992.

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24

Ivanovich, Babenko Konstantin, ed. Ogranichennai︠a︡ zadacha trekh tel: Ploskie periodicheskie orbity. Nauka", 1990.

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25

Scholma, J. K. A Lie algebraic study of some integrable systems associated with root systems. Centrum voor Wiskunde en Informatica, 1993.

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26

A, Denisov S., and Ferronskiĭ S. V, eds. Jacobi dynamics: Many-body problem in integral characteristics. D. Reidel Pub. Co., 1987.

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27

Dzhamay, Anton, Christopher W. Curtis, Willy A. Hereman, and B. Prinari. Nonlinear wave equations: Analytic and computational techniques : AMS Special Session, Nonlinear Waves and Integrable Systems : April 13-14, 2013, University of Colorado, Boulder, CO. American Mathematical Society, 2015.

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28

Sanz-Serna, J. M., and M. P. Calvo. Numerical Hamiltonian Problems. Dover Publications, Incorporated, 2018.

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29

Numerical Hamiltonian Problems. Dover Publications, Incorporated, 2018.

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30

Sanz‐Serna, J. M. Numerical Hamiltonian Problems. 1994.

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31

Gignoux, Claude, and Bernard Silvestre-Brac. Solved Problems in Lagrangian and Hamiltonian Mechanics. Springer, 2014.

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32

Sequential Quadratic Hamiltonian Method: Solving Optimal Control Problems. Taylor & Francis Group, 2023.

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33

Sequential Quadratic Hamiltonian Method: Solving Optimal Control Problems. Taylor & Francis Group, 2023.

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34

Coopersmith, Jennifer. Hamiltonian Mechanics. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198743040.003.0007.

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Hamilton’s genius was to understand what were the true variables of mechanics (the “p − q,” conjugate coordinates, or canonical variables), and this led to Hamilton’s Mechanics which could obtain qualitative answers to a wider ranger of problems than Lagrangian Mechanics. It is explained how Hamilton’s canonical equations arise, why the Hamiltonian is the “central conception of all modern theory” (quote of Schrödinger’s), what the “p − q” variables are, and what phase space is. It is also explained how the famous conservation theorems arise (for energy, linear momentum, and angular momentum),

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35

Greiner, Walter. Classical Mechanics: Systems of Particles and Hamiltonian Dynamics (Classical Theoretical Physics). Springer, 2002.

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36

Lagrangian and Hamiltonian mechanics: Solutions to the exercises. World Scientific, 1999.

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37

Ascheuer, Norbert. Hamiltonian path problems in the on-line optimization of flexible manufacturing systems. 1995.

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38

Kdv Kam. Springer, 2010.

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39

Mielke, Alexander. Hamiltonian and Lagrangian Flows on Center Manifolds: With Applications to Elliptic Variational Problems. Springer London, Limited, 2006.

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40

Classical mechanics: Systems of particles and Hamiltonian dynamics. 2nd ed. Springer, 2010.

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41

Nguyen, Giang T., Vivek S. Borkar, Jerzy A. Filar, and Vladimir Ejov. Hamiltonian Cycle Problem and Markov Chains. Springer New York, 2014.

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42

Hamiltonian Cycle Problem And Markov Chains. Springer, 2012.

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43

Suris, Yuri B. Problem of Integrable Discretization: Hamiltonian Approach. Springer Basel AG, 2012.

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44

Nguyen, Giang T., Vivek S. Borkar, Jerzy A. Filar, and Vladimir Ejov. Hamiltonian Cycle Problem and Markov Chains. Springer London, Limited, 2012.

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45

Athorne, Chris, 1957- editor of compilation, Maclagan, Diane, 1974- editor of compilation, and Strachan, Ian, 1965- editor of compilation, eds. Tropical geometry and integrable systems: Conference on Tropical Geometry and Integrable Systems, July 3-8, 2011, University of Glasgow, Glasgow, United Kingdom. 2012.

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46

Zhu, Xi-Ping, and Kai Seng Chou. Curve Shortening Problem. Taylor & Francis Group, 2001.

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47

Kaloshin, Vadim, and Ke Zhang. Arnold Diffusion for Smooth Systems of Two and a Half Degrees of Freedom. Princeton University Press, 2020. http://dx.doi.org/10.23943/princeton/9780691202525.001.0001.

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Abstract:

Arnold diffusion, which concerns the appearance of chaos in classical mechanics, is one of the most important problems in the fields of dynamical systems and mathematical physics. Since it was discovered by Vladimir Arnold in 1963, it has attracted the efforts of some of the most prominent researchers in mathematics. The question is whether a typical perturbation of a particular system will result in chaotic or unstable dynamical phenomena. This book provides the first complete proof of Arnold diffusion, demonstrating that that there is topological instability for typical perturbations of five

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48

The Curve Shortening Problem. Chapman & Hall/CRC, 2001.

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49

Raines, Allen Crawford. Hamiltonian-symplectic methods for solving the quadratic regulator problem. 1993.

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50

Zhu, Xi-Ping, and Kai Seng Chou. Curve Shortening Problem. Taylor & Francis Group, 2019.

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