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Journal of Mathematical Biology

Volumn 31, Issue 3, 1993, Pages 253-271

Entropy and convergence in dynamics and demography

(1) Tuljapurkar, Shripad a

a STANFORD UNIVERSITY (United States)

Author keywords

Convergence rate; Demography; Entropy; Leslie matrix; Markovian dynamics

Indexed keywords

ARTICLE; BIOLOGICAL MODEL; DEMOGRAPHY; FEMALE; GENEALOGY; HUMAN; MALE; MATHEMATICS; POPULATION DYNAMICS; PREGNANCY; PROBABILITY; REPRODUCTION;

DEMOGRAPHY; FEMALE; GENEALOGY AND HERALDRY; HUMAN; MALE; MARKOV CHAINS; MATHEMATICS; MODELS, BIOLOGICAL; POPULATION DYNAMICS; PREGNANCY; REPRODUCTION; SUPPORT, NON-U.S. GOV'T; SUPPORT, U.S. GOV'T, NON-P.H.S.; SUPPORT, U.S. GOV'T, P.H.S.;

EID: 0027346566 PISSN: 03036812 EISSN: 14321416 Source Type: Journal
DOI: 10.1007/BF00166145 Document Type: Article

Times cited : (14)

References (37)

1
- 0022883888
- The rate of convergence of a generalized stable population
- (1986) J. Math. Biol. , vol.24 , pp. 405-422
- Artzrouni, M.¹

2
- 0021983869
- Stability of interacting populations with class-age distributions
- (1985) J. Theor. Biol. , vol.112 , pp. 595-605
- Auger, P.¹

3
- 0004022281
- Sinauer Associates, Sunderland, MA
- (1989) Matrix population models
- Caswell, H.¹

4
- 0012097571
- A universal instability of many-dimensional oscillator systems
- (1979) Phys. Rep. , vol.52 , pp. 263-379
- Chirikov, B.V.¹

5
- 85022226549
- Princeton University Press, Princeton
- (1972) The growth and structure of human populations: A mathematical investigation
- Coale, A.J.¹

6
- 48749145105
- Symbolic dynamics of noisy chaos
- (1983) Physica , vol.7 D , pp. 201-223
- Crutchfield, J.P.¹ Packard, N.H.²

7
- 34250240768
- On computing the entropy of the Henon attractor
- (1981) J. Stat. Phys. , vol.26 , pp. 683-695
- Curry, J.H.¹

8
- 0016375787
- Demographic parameters and natural selection
- (1974) Proc. Natl. Acad. Sci., USA , vol.71 , pp. 4645-4647
- Demetrius, L.¹

9
- 0018471543
- Relations between demographic parameters
- (1979) Demography , vol.16 , pp. 329-338
- Demetrius, L.¹

10
- 0021780711
- Polynucleotide evolution and branching processes
- (1985) Bull. Math. Biol. , vol.47 , pp. 239-262
- Demetrius, L.¹ Schuster, P.² Sigmund, K.³

11
- 84949416968
- Power spectra and mixing properties of strange attractors
- (1980) Ann. N.Y. Acad. Sci. , vol.357 , pp. 453-472
- Farmer, D.¹ Crutchfield, J.² Freehling, H.³ Packard, N.⁴ Shaw, R.⁵

12
- 0002590276
- Eigenvalue bounds on convergence to stationarity for nonreversible Markov Chains, with an application to the Exclusion problem
- (1991) Ann. Appl. Probab. , vol.1 , pp. 62-87
- Fill, J.A.¹

13
- 84951622435
- Fraser, A. M.: Information and entropy in strange attractors. IEEE Trans. Inf. Theory. IT- 35 (1989)

14
- 34548696055
- Independent coordinates for strange attractors from mutual information
- (1986) Phys. Rev. A , vol.33 , pp. 1134-1140
- Fraser, A.M.¹ Swinney, H.L.²

15
- 51249183235
- Entropy increase in dynamical systems
- (1981) Isr. J. Math. , vol.38 , pp. 241-256
- Goldstein, S.¹

16
- 0000090095
- A non-equilibrium entropy for dynamical systems
- (1981) J. Stat. Phys. , vol.24 , pp. 325-343
- Goldstein, S.¹ Penrose, O.²

17
- 0003478288
- Springer, Berlin Heidelberg New York
- (1983) Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Guckenheimer, J.¹ Holmes, P.²

18
- 24244461436
- Relaxation rates for two dimensional deterministic mappings
- (1982) Phys. Rev. A , vol.25 , pp. 3457-3459
- Hamilton, I.¹ Brumer, P.²

19
- 0009978721
- Intramolecular relaxation in N = 2 Hamiltonian systems: the role of the K entropy
- (1983) J. Chem. Phys. , vol.78 , pp. 2682-2690
- Hamilton, I.¹ Brumer, P.²

20
- 0003562022
- Addison Wesley, Reading, MA
- (1968) Introduction to the mathematics of populations
- Keyfitz, N.¹

21
- 0004276306
- Springer, Berlin Heidelberg New York
- (1985) Applied mathematical demography
- Keyfitz, N.¹

22
- 85025849390
- Kim, Y. J.: On the speed of convergence to stability. (Unpublished manuscript, 1991)

23
- 84966257945
- On entropy and generators of measure preserving transformations
- (1970) Trans. Am. Math. Soc. , vol.199 , pp. 453-464
- Krieger, W.¹

24
- 0004015440
- Allyn and Bacon, Rockleigh, NH
- (1964) A Survey of Matrix Theory and Matrix Inequalities
- Marcus, M.¹ Mine, H.²

25
- 0003530150
- Yale University Press, New Haven
- (1974) Ergodic theory, Randomness, and Dynamical Systems
- Ornstein, D.¹

26
- 84989085831
- Entropy and irreversibility
- (1981) Ann. N.Y. Acad. Sci. , vol.373 , pp. 211-219
- Penrose, O.¹

27
- 0003831421
- Cambridge University Press, Cambridge
- (1983) Ergodic theory
- Petersen, K.¹

28
- 0003600591
- Cambridge University Press, Cambridge
- (1973) Mathematical models for the growth of human populations
- Pollard, J.H.¹

29
- 34250384261
- Mixing distance and stability of steady states in statistical nonlinear thermodynamics
- (1976) Z. Phys. B , vol.25 , pp. 411-421
- Schlögl, F.¹

30
- 84951622437
- Schoen, R., Kim, Y.: Movement toward stability is a fundamental principle of population dynamics. Paper presented at Population Association of America annual meeting. Washington, D.C.: 1991

31
- 84886988987
- Entropy and martingales in Markov Chain models
- (1982) J. Appl. Probab. , vol.19 A , pp. 367-381
- Seneta, E.¹

32
- 0009520409
- Strange attractors, chaotic behavior, and information flow
- (1981) Z. Naturforsch. , vol.36 a , pp. 80-112
- Shaw, R.¹

33
- 0003847664
- Aerial Press, Santa Cruz, CA
- (1985) The dripping faucet as a model of chaotic system
- Shaw, R.S.¹

34
- 67649301813
- A weak isomorphism of transformations having an invariant measure
- (1962) Sov. Math. Dokl. , vol.3 , pp. 1725-1729
- Sinai¹

35
- 0020063663
- Why use population entropy? It determines the rate of convergence
- (1982) J. Math. Biol. , vol.13 , pp. 325-337
- Tuljapurkar, S.D.¹

36
- 0021253209
- Lotka's roots under rescalings
- (1984) Proc. Natl. Acad. Sci., USA , vol.81 , pp. 3600-3604
- Wachter, K.W.¹

37
- 84916023008
- Statistical mechanisms and ergodic theory
- E. G. D., Cohen, Marcel Dekker, New York
- (1971) Statistical mechanics at the turn of the decade , pp. 1-32
- Wightman, A.S.¹

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.