Ordinary Differential Equations
| Autor: | H. J. Korsch, H.-J. Jodl |
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| Rok vydání: | 1999 |
| Předmět: | |
| Zdroj: | Chaos ISBN: 9783662038680 Chaos ISBN: 9783662029930 |
| DOI: | 10.1007/978-3-662-03866-6_12 |
| Popis: | Dynamical systems are often expressed in terms of ordinary differential equations. An example are the canonical equations of motion in Hamiltonian systems $${\dot p_i} = - \frac{{\partial H}}{{\partial {q_i}}},\;{\dot p_i} = \frac{{\partial H}}{{\partial {q_i}}},$$ (12.1) where the time derivatives of the canonical coordinates and momenta are given by the partial derivatives of the Hamiltonian. Typically, the right hand side of these equations is a nonlinear function of the variables p i and q i i.e. (12.1) is a nonlinear dynamical system. |
| Databáze: | OpenAIRE |
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