-
1
-
-
0011289134
-
Heteroclinic networks on the tetrahedron
-
Brannath W 1994 Heteroclinic networks on the tetrahedron Nonlinearity 7 1367-84
-
(1994)
Nonlinearity
, vol.7
, pp. 1367-1384
-
-
Brannath, W.1
-
2
-
-
0000036443
-
Persistence in dynamical systems
-
Butler G J and Waltman P 1986 Persistence in dynamical systems J. Diff. Eqns 63 255-63
-
(1986)
J. Diff. Eqns
, vol.63
, pp. 255-263
-
-
Butler, G.J.1
Waltman, P.2
-
3
-
-
0035458186
-
Food chain chaos due to junction-fold point
-
Deng B 2001 Food chain chaos due to junction-fold point Chaos 11 514-25
-
(2001)
Chaos
, vol.11
, pp. 514-525
-
-
Deng, B.1
-
4
-
-
0036710119
-
Food chain chaos due to Shilnikov's orbit
-
Deng B and Hines G 2002 Food chain chaos due to Shilnikov's orbit Chaos 12 533-8
-
(2002)
Chaos
, vol.12
, pp. 533-538
-
-
Deng, B.1
Hines, G.2
-
5
-
-
0043210904
-
Food chain chaos due to transcritical point
-
Deng B and Hines G 2003 Food chain chaos due to transcritical point Chaos 13 578-85
-
(2003)
Chaos
, vol.13
, pp. 578-585
-
-
Deng, B.1
Hines, G.2
-
6
-
-
38249023378
-
Uniform persistence and chain recurrence
-
Garay B M 1989 Uniform persistence and chain recurrence J. Math. Anal. Appl. 139 372-82
-
(1989)
J. Math. Anal. Appl.
, vol.139
, pp. 372-382
-
-
Garay, B.M.1
-
7
-
-
0141820163
-
Robust permanence for ecological differential equations, minimax, and discretizations
-
Garay B M and Hofbauer J 2003 Robust permanence for ecological differential equations, minimax, and discretizations SIAM J. Math. Anal. 34 1007-39
-
(2003)
SIAM J. Math. Anal.
, vol.34
, pp. 1007-1039
-
-
Garay, B.M.1
Hofbauer, J.2
-
9
-
-
0025956240
-
Chaos in a three species food chain
-
Hastings A and Powell T 1991 Chaos in a three species food chain Ecology 72 896-903
-
(1991)
Ecology
, vol.72
, pp. 896-903
-
-
Hastings, A.1
Powell, T.2
-
13
-
-
0001862504
-
A unified approach to persistence
-
Hofbauer J 1989 A unified approach to persistence Acta Appl. Math. 14 11-22
-
(1989)
Acta Appl. Math.
, vol.14
, pp. 11-22
-
-
Hofbauer, J.1
-
14
-
-
0242589333
-
Heteroclinic cycles in ecological differential equations
-
Hofbausr J 1994 Heteroclinic cycles in ecological differential equations Tatra Mt. Math. Publ. 4 105-16
-
(1994)
Tatra Mt. Math. Publ.
, vol.4
, pp. 105-116
-
-
Hofbausr, J.1
-
15
-
-
0030619988
-
A theoretical framework for intraguild predation
-
Holt R D and Polis G A 1997 A theoretical framework for intraguild predation Am. Nat. 149 745-64
-
(1997)
Am. Nat.
, vol.149
, pp. 745-764
-
-
Holt, R.D.1
Polis, G.A.2
-
16
-
-
0026616222
-
Permanence and the dynamics of biological systems
-
Hutson V and Schmitt K 1992 Permanence and the dynamics of biological systems Math. Biosci. 111 1-71
-
(1992)
Math. Biosci.
, vol.111
, pp. 1-71
-
-
Hutson, V.1
Schmitt, K.2
-
17
-
-
0032436718
-
Shaken not stirred: On permanence in ecological communities
-
Jansen V A A and Sigmund K 1998 Shaken not stirred: on permanence in ecological communities Theor. Popul. Biol. 54 195-201
-
(1998)
Theor. Popul. Biol.
, vol.54
, pp. 195-201
-
-
Jansen, V.A.A.1
Sigmund, K.2
-
18
-
-
0001159401
-
Subadditive ergodic theory
-
Kingman J F C 1973 Subadditive ergodic theory Ann. Probab. 1 883-909
-
(1973)
Ann. Probab.
, vol.1
, pp. 883-909
-
-
Kingman, J.F.C.1
-
19
-
-
0001225644
-
Robust heteroclinic cycles
-
Krupa M 1997 Robust heteroclinic cycles J. Nonlinear Sci. 7 129-76
-
(1997)
J. Nonlinear Sci.
, vol.7
, pp. 129-176
-
-
Krupa, M.1
-
20
-
-
84974489205
-
Asymptotic stability of heteroclinic cycles in systems with symmetry
-
Krupa M and Melbourne I 1995 Asymptotic stability of heteroclinic cycles in systems with symmetry Ergod. Theory Dynam. Sys. 15 121-47
-
(1995)
Ergod. Theory Dynam. Sys.
, vol.15
, pp. 121-147
-
-
Krupa, M.1
Melbourne, I.2
-
22
-
-
0000543733
-
A multiplicative ergodic theorem
-
Oseledec V I 1968 A multiplicative ergodic theorem Trans. Moscow Math. Soc. 19 197-231
-
(1968)
Trans. Moscow Math. Soc.
, vol.19
, pp. 197-231
-
-
Oseledec, V.I.1
-
24
-
-
0027084057
-
Intraguild predation: The dynamics of complex trophic interactions
-
Polis G A and Holt R D 1992 Intraguild predation: the dynamics of complex trophic interactions Trends Ecol. Evol. 7 151-4
-
(1992)
Trends Ecol. Evol.
, vol.7
, pp. 151-154
-
-
Polis, G.A.1
Holt, R.D.2
-
25
-
-
0002610570
-
On growth rates of subadditive functions for semiflows
-
Schreiber S J 1998 On growth rates of subadditive functions for semiflows J. Diff. Eqns 148 334-50
-
(1998)
J. Diff. Eqns
, vol.148
, pp. 334-350
-
-
Schreiber, S.J.1
-
27
-
-
0000491205
-
Dynamical systems under constant organization 3: Cooperative and competitive behavior of hypercycles
-
Schuster P, Sigmund K and Wolff R 1979 Dynamical systems under constant organization 3: Cooperative and competitive behavior of hypercycles J. Diff. Eqns 32 357-68
-
(1979)
J. Diff. Eqns
, vol.32
, pp. 357-368
-
-
Schuster, P.1
Sigmund, K.2
Wolff, R.3
-
28
-
-
0012711101
-
On the space of invariant measures for hyperbolic flows
-
Sigmund K 1972 On the space of invariant measures for hyperbolic flows Am. J. Math. 94 31-7
-
(1972)
Am. J. Math.
, vol.94
, pp. 31-37
-
-
Sigmund, K.1
-
29
-
-
84968514104
-
Differentiable dynamical systems
-
Smale S 1967 Differentiable dynamical systems Bull. Am. Math. Soc. 73 747-817
-
(1967)
Bull. Am. Math. Soc.
, vol.73
, pp. 747-817
-
-
Smale, S.1
|