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Nemytskii and V. Equations, M. Piccinini, G. Stampacchia, and G. Solution for Monomial Hamiltonian. Monomial factorization of symplectic maps - Gjaja, I. Comment on the exact evaluation of symplectic maps preprint Kovacic and M.

Barger and M. Our Figures 1. However, we found somewhat different numerical results. For our calculations we used a 10th order Adams integrator started with 6th order Runge Kutta. Integrations were performed for several different step sizes in both double and quadruple 64 and bit precision to assure satisfactory convergence. See Chapter 2. Olson and M. Parlitz and W. Superstructure in the bifurcation set of the Duffing equation - Becker and R.

A Duffing equation with more than 20 branch points - Springer. Allgower et al edit Verlag Notes Math. Van Dooren and M. De Groote. Jordan and P. Cohen and A. Boscovich, A Theory of Natural. Philosophy, reprinted by MIT Press, p. Laplace, A Philosophical Essay. Theory of the alternating gradient synchrotron - Courant, E. Annals Phys. Theory of general perturbations with unspecified canonical variables - Diacu and P.

The Elements of Mechanics Verlag Classical Mechanics Landau and E. Mechanics Abraham and J. Foundations of Mechanics, American Mathematical Society Abraham and C. Dynamics: the Geometry of Behavior, 4 Vols. Arnold, V. Kozlov, and A. Sinai, et al. Arnold and A. Ergodic Problems of Classical Mechanics Fundamentals of Celestial Mechanics, Macmillan Dumas, K. Meyer, and D. Meyer, G. Hall, and D. Lectures on Hamiltonian Systems - Nonlinear Oscillations in Physical Systems Saletan and A. Theoretical Mechanics, John Jose and E.

Siegel and J. Lectures on Celestial Mechanics Verlag Moser and E.

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Benettin, J. Henrard, S. Kuksin, and A. Hamiltonian Dynamics - Theory and Applications Verlag Sussman, J. Wisdom, and M. MIT Pr.. Structure and Interpretation of Classical Mechanics ess Geometric Mechanics, John Marsden and T. Introduction to Mechanics and Symmetry Verlag Classical Mechanics, Cambridge John R. Classical Mechanics, University Science Books Devaney and Z. Pars, A Treatise on Analytical. Dynamics, Ox Bow Press Whittaker, A Treatise.

Hamiltonian Dynamics Thirring, A Course in Mathematical. Physics: 1. Sell one like this. About this product Product Information This text was developed by Dr. Rand over several years of graduate-level instruction in advanced dynamics, nonliner vibrations, and perturbation methods. It presents a variety of topics in nonlinear dynamics, simply explained and modernized through the use of the MACSYMA computer algebra system. The emphasis is on using computer algebra as a tool for the derivation and the solution of nonlinear differential equations and encourages in-depth understanding of the physical and mathematical principles involved.

Mathematical Techniques of Fractional Order Systems

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Nonlinear Dynamics: Field trip, stable and unstable manifolds to design spacecraft trajectories

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