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Classical dynamics, nonintegrable systems

Classical dynamics and orthodox quantum mechanics are constructed along the model of integrable systems in the sense of Poincare. Our aim is to construct dynamics for nonintegrable systems. As far as we know, this is a new attempt, which has its roots in the early work of the Brussels School [1-9]. The main result is that we have to replace the unitary transformation f/ by a nonunitary... [Pg.135]

QUANTUM AND CLASSICAL DYNAMICS OF NONINTEGRABLE SYSTEMS 141 and the relations for... [Pg.141]

It is fair to say that there has been a renaissance in the study of the properties of nonlinear dynamical systems in recent years.This work has brought forth the notion that the equations of classical mechanics describing most systems are fundamentally unsolvable, or nonintegrable, and that as a result all nonintegrable systems have universal scaling laws which underlie their complex and apparently chaotic motions. ... [Pg.117]

See other pages where Classical dynamics, nonintegrable systems is mentioned: [Pg.50]    [Pg.16]    [Pg.59]    [Pg.135]    [Pg.137]    [Pg.139]    [Pg.145]    [Pg.147]    [Pg.149]    [Pg.150]    [Pg.151]    [Pg.345]    [Pg.307]    [Pg.402]    [Pg.426]   


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Classical dynamics

Dynamic system

Dynamical systems

Nonintegrability

Nonintegrable systems

System classical

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