ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

For citation:

Bliokh K. Y. Functional approach то non-autonomous dynamic systems: Berry phase and problems of Hamiltonianness, strong stability, quantization. Izvestiya VUZ. Applied Nonlinear Dynamics, 2001, vol. 9, iss. 2, pp. 45-50. DOI: 10.18500/0869-6632-2001-9-2-45-50

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
517.9, 517.92, 519
DOI: 
10.18500/0869-6632-2001-9-2-45-50

Functional approach то non-autonomous dynamic systems: Berry phase and problems of Hamiltonianness, strong stability, quantization

Autors: 
Bliokh Konstantin Yurevich, Radio Astronomy Institute of the National Academy of Sciences of Ukraine
Abstract: 

Advantages and perspectives of applying the functional approach to nonautonomous dynamic systems are discussed. Characteristics of the system are assumed to depend on time indirectly, through arbitrary functions of parameters under this approach. Main results of functional approach application to linear adiabatic systems are demonstrated. They connect geometric Berry phases, problems of determining whether the system is Hamiltonian, quantization and strong stability.

Key words: 
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Reference: 
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Received: 
12.01.2001
Accepted: 
14.04.2001
Published: 
17.07.2001
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