-
1
-
-
0001985536
-
Inclusion methods for systems of nonlinear equations - The interval Newton method and modifications
-
(J. Herzberger, ed.), Elsevier Science, New York
-
G. Alefeld, Inclusion methods for systems of nonlinear equations - the interval Newton method and modifications, in Topics in Validated Computations (J. Herzberger, ed.), Elsevier Science, New York, 1994.
-
(1994)
Topics in Validated Computations
-
-
Alefeld, G.1
-
2
-
-
0035917024
-
Symbolic dynamics for the Hénon-Heiles Hamiltonian on the critical energy level
-
G. Arioli and P. Zgliczyński, Symbolic dynamics for the Hénon-Heiles Hamiltonian on the critical energy level, J. Differential Equations 171 (2001), 173-202.
-
(2001)
J. Differential Equations
, vol.171
, pp. 173-202
-
-
Arioli, G.1
Zgliczyński, P.2
-
3
-
-
84876632791
-
-
G. Arioli and P. Zgliczyński, in preparation
-
G. Arioli and P. Zgliczyński, in preparation.
-
-
-
-
4
-
-
0001201892
-
Computer-assisted proof of chaos in the Lorenz system
-
Z. Galias and P. Zgliczyński, Computer-assisted proof of chaos in the Lorenz system, Phys. D, 115 (1998), 165-188.
-
(1998)
Phys. D
, vol.115
, pp. 165-188
-
-
Galias, Z.1
Zgliczyński, P.2
-
5
-
-
0004317158
-
-
Springer-Verlag, Berlin
-
E. Hairer, S. P. Nørsett, and G. Wanner, Solving Ordinary Differential Equations I, Nonstiff Problems, Springer-Verlag, Berlin, 1987.
-
(1987)
Solving Ordinary Differential Equations I, Nonstiff Problems
-
-
Hairer, E.1
Nørsett, S.P.2
Wanner, G.3
-
6
-
-
0002220884
-
A computer proof that the Lorenz equations have "chaotic" solutions
-
B. Hassard, J. Zhang, S. Hastings, and W. Troy, A computer proof that the Lorenz equations have "chaotic" solutions, Appl. Math. Lett., 7 (1994), 79-83.
-
(1994)
Appl. Math. Lett.
, vol.7
, pp. 79-83
-
-
Hassard, B.1
Zhang, J.2
Hastings, S.3
Troy, W.4
-
7
-
-
0000507179
-
Persistent propagation of concentration waves in dissipative media far from thermal equilibrium
-
Y. Kuramoto and T. Tsuzuki, Persistent propagation of concentration waves in dissipative media far from thermal equilibrium, Progr. Theoret. Phys. 55 (1976), 365.
-
(1976)
Progr. Theoret. Phys.
, vol.55
, pp. 365
-
-
Kuramoto, Y.1
Tsuzuki, T.2
-
8
-
-
0002422258
-
Computation of guaranteed enclosures for the solutions of ordinary initial and boundary value problems
-
(J. R. Cash and I. Gladwell, eds.), Clarendon Press, Oxford, UK
-
R. J. Lohner, Computation of guaranteed enclosures for the solutions of ordinary initial and boundary value problems, in Computational Ordinary Differential Equations (J. R. Cash and I. Gladwell, eds.), Clarendon Press, Oxford, UK, 1992.
-
(1992)
Computational Ordinary Differential Equations
-
-
Lohner, R.J.1
-
10
-
-
0004293209
-
-
Prentice Hall, Englewood Cliffs, NJ
-
R. E. Moore, Interval Analysis, Prentice Hall, Englewood Cliffs, NJ, 1966.
-
(1966)
Interval Analysis
-
-
Moore, R.E.1
-
11
-
-
0012488396
-
Set arithmetic and the enclosing problem in dynamics
-
M. Mrozek and P. Zgliczyński, Set arithmetic and the enclosing problem in dynamics, Ann. Polon. Math. LXXIV (2000), 237-259.
-
(2000)
Ann. Polon. Math.
, vol.74
, pp. 237-259
-
-
Mrozek, M.1
Zgliczyński, P.2
-
12
-
-
0032393729
-
Chaos in the Lorenz equations: A computer-assisted proof. Part II: Details
-
K. Mischaikow and M. Mrozek, Chaos in the Lorenz equations: A computer-assisted proof. Part II: Details, Math. Comp. 67 (1998), 1023-1046.
-
(1998)
Math. Comp.
, vol.67
, pp. 1023-1046
-
-
Mischaikow, K.1
Mrozek, M.2
-
13
-
-
0001723770
-
An interval Hermite-Obreschkoff method for computing rigorous bounds on the solution of an initial value problem for an ordinary differential equation
-
(Budapest, 1998), Kluwer Academic, Dordrecht
-
N. S. Nedialkov and K. R. Jackson, An interval Hermite-Obreschkoff method for computing rigorous bounds on the solution of an initial value problem for an ordinary differential equation, in Developments in Reliable Computing (Budapest, 1998), Kluwer Academic, Dordrecht, 1999, pp. 289-310.
-
(1999)
Developments in Reliable Computing
, pp. 289-310
-
-
Nedialkov, N.S.1
Jackson, K.R.2
-
14
-
-
0347261055
-
Computer assisted method for proving existence of periodic orbits
-
P. Pilarczyk, Computer assisted method for proving existence of periodic orbits, Topological Methods Nonlinear Anal. 13 (1999), 365-377.
-
(1999)
Topological Methods Nonlinear Anal.
, vol.13
, pp. 365-377
-
-
Pilarczyk, P.1
-
15
-
-
0000561907
-
Rigorous verification of chaos in a molecular model
-
T. Rage, A. Neumaier, and C. Schlier, Rigorous verification of chaos in a molecular model, Phys. Rev. E 50 (1994), 2682-2688.
-
(1994)
Phys. Rev. E
, vol.50
, pp. 2682-2688
-
-
Rage, T.1
Neumaier, A.2
Schlier, C.3
-
16
-
-
0003630844
-
-
Lecture Notes in Computer Science, Springer-Verlag, Berlin
-
L. B. Rall, Automatic Differentiation: Techniques and Applications, Lecture Notes in Computer Science, Vol. 120, Springer-Verlag, Berlin, 1981.
-
(1981)
Automatic Differentiation: Techniques and Applications
, vol.120
-
-
Rall, L.B.1
-
17
-
-
49549126801
-
An equation for continous chaos
-
O. E. Rössler, An equation for continous chaos, Phys. Lett. A 57 (1976), 397-398.
-
(1976)
Phys. Lett. A
, vol.57
, pp. 397-398
-
-
Rössler, O.E.1
-
18
-
-
0017554878
-
Nonlinear analysis of hydrodynamical instability in laminar flames - 1. Derivation of basic equations
-
G. I. Sivashinsky, Nonlinear analysis of hydrodynamical instability in laminar flames - 1. Derivation of basic equations, Acta Astronom. 4 (1977), 1177.
-
(1977)
Acta Astronom.
, vol.4
, pp. 1177
-
-
Sivashinsky, G.I.1
-
19
-
-
0033563546
-
Lorenz attractor exists
-
W. Tucker, Lorenz attractor exists, C. R. Acad. Sci. Paris Sér I 328 (1999), 1197-1202.
-
(1999)
C. R. Acad. Sci. Paris Sér I
, vol.328
, pp. 1197-1202
-
-
Tucker, W.1
-
20
-
-
0002061016
-
A rigorous ODE solver and Smale's 14th problem
-
W. Tucker, A rigorous ODE solver and Smale's 14th problem. Found. Comp. Math. 2 (2002), 53-117.
-
(2002)
Found. Comp. Math.
, vol.2
, pp. 53-117
-
-
Tucker, W.1
-
22
-
-
0041540896
-
Computer-assisted proof of chaos in the Hénon map and in the Rössler equations
-
P. Zgliczynski, Computer-assisted proof of chaos in the Hénon map and in the Rössler equations, Nonlinearity, 10 (1997), 243-252.
-
(1997)
Nonlinearity
, vol.10
, pp. 243-252
-
-
Zgliczynski, P.1
-
23
-
-
0040843322
-
Multidimensional perturbations of one-dimensional maps and stability of Sharkovskii ordering
-
P. Zgliczyński, Multidimensional perturbations of one-dimensional maps and stability of Sharkovskii ordering, Internat. J. Bifurcation Chaos 9 (1999), 1867-1876.
-
(1999)
Internat. J. Bifurcation Chaos
, vol.9
, pp. 1867-1876
-
-
Zgliczyński, P.1
-
24
-
-
0344578972
-
Rigorous numerics for partial differential equations: The Kuramoto-Sivashinsky equation
-
P. Zgliczyński and K. Mischaikow, Rigorous numerics for partial differential equations: The Kuramoto-Sivashinsky equation, Found. Comput. Math. 1 (2001), 255-2889.
-
(2001)
Found. Comput. Math.
, vol.1
, pp. 255-2889
-
-
Zgliczyński, P.1
Mischaikow, K.2
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