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035			_a(RuTPU)RU\TPU\network\602
090			_a636572
100			_a20140217a1998 k y0engy50 ba
101	0		_aeng
102			_aUS
135			_adrcn ---uucaa
181		0	_ai
182		0	_ab
200	1		_aHamiltonian dynamics of Darwin systems _fA. V. Shapovalov, E. V. Evdokimov
203			_aText _celectronic
300			_aTitle screen
320			_a[References: p. 450 (5 tit.)]
330			_aWe present a Hamiltonian approach for the well-known Eigen model of the Darwin selection dynamics. Hamiltonization is carried out by means of the embedding of the population variable space, describing behavior of the system, into the space of double dimension by introducing auxiliary dynamic variables. Besides the study of the formalism, we try to interpret its basic elements (phase space, Hamiltonian, geometry of solutions) in terms of theoretical biology. A geometric treatment is given for the considered system dynamics in terms of the geodesic flows in the Euclidean space where the population variables serve as curvilinear coordinates.Time evolution of the distribution function is found for arbitrary distributed initial values of the population variables
333			_aРежим доступа: по договору с организацией-держателем ресурса
461			_tPhysica D: Nonlinear Phenomena _oScientific Journal
463			_tVol. 112, iss. 3-4 _v[P. 441-450] _d1998
610	1		_aэлектронный ресурс
610	1		_aтруды учёных ТПУ
610	1		_aDarwin systems
610	1		_apopulation dynamics
610	1		_aHamiltonian formalism
700		1	_aShapovalov _bA. V. _cmathematician _cProfessor of Tomsk Polytechnic University, Doctor of physical and mathematical sciences _f1949- _gAleksandr Vasilyevich _2stltpush _3(RuTPU)RU\TPU\pers\31734
701		1	_aEvdokimov _bE. V.
801		2	_aRU _b63413507 _c20180306 _gRCR
856	4		_uhttp://www.sciencedirect.com/science/article/pii/S0167278997001796
942			_cBK