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Books on the topic 'Hamiltonian problems'

Author: Grafiati

Published: 10 March 2023

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1

Sanz-Serna, J. M., and M. P. Calvo. Numerical Hamiltonian Problems. Boston, MA: 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. London: Chapman & Hall, 1994.

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3

Gignoux, Claude, and Bernard Silvestre-Brac. Solved Problems in Lagrangian and Hamiltonian Mechanics. Dordrecht: 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. Dordrecht: Springer Netherlands, 2009.

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5

Classical mechanics: Systems of particles and Hamiltonian dynamics. New York: Springer, 2003.

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6

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

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7

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

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8

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

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9

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

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10

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

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11

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

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12

1944-, Ekeland I., Szulkin Andrzej, and NATO Advanced Study Institute, eds. Minimax results of L[j]usternik-Schnirelman type and applications: Part 2 of the proceedings of the NATO ASI "variational methods in nonlinear problems". Montréal, Québec, Canada: Presses de l'Université de Montréal, 1989.

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13

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

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14

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

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15

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

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16

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

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17

Neumann systems for the algebraic AKNS problem. Providence, RI: American Mathematical Society, 1992.

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18

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

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19

The restricted 3-body problem: Plane periodic orbits. New York: W. de Gruyter, 1994.

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20

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

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21

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

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22

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

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23

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

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24

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

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25

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

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26

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

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27

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

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28

Poincaré and the three body problem. Providence, RI: American Mathematical Society, 1997.

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29

Local and semi-local bifurcations in Hamiltonian dynamical systems: Results and examples. Berlin: Springer, 2007.

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30

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

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31

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

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32

Jürgen, Pöschel, ed. KdV & KAM. Berlin: Springer, 2003.

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33

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

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34

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. Providence, R.I: American Mathematical Society, 2006.

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35

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

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36

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. Providence, Rhode Island: American Mathematical Society, 2015.

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37

Bifurcation of extremals in optimal control. Berlin: Springer-Verlag, 1986.

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38

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

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39

Numerical Hamiltonian Problems. Dover Publications, Incorporated, 2018.

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40

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

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41

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

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Abstract:

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), and the connection with symmetry. The Hamilton-Jacobi Equation is derived using infinitesimal canonical transformations (ICTs), and predicts wavefronts of “common action” spreading out in (configuration) space. An analogy can be made with geometrical optics and Huygen’s Principle for the spreading out of light waves. It is shown how Hamilton’s Mechanics can lead into quantum mechanics.

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42

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

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43

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

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44

Kdv Kam. Springer, 2010.

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45

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

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46

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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47

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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48

Hamiltonian Cycle Problem And Markov Chains. Springer, 2012.

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49

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

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50

A, Lacomba E., Llibre Jaume, and International Symposium on Hamiltonian Systems and Celestial Mechanics (1991 : Guanajuato, Mexico), eds. Hamiltonian systems and celestial mechanics. Singapore: River Edge, NJ, 1993.

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