Attractors in coherent systems of differential equations
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[1] Stephen Smale,et al. THE DYNAMICAL SYSTEMS APPROACH TO DIFFERENTIAL EQUATIONS , 2007 .
[2] R. F. Williams,et al. Expanding attractors , 1974 .
[3] Chun Chor Litwin 鄭振初 Cheng,et al. An extension of the results of hirsch on systems of differential equations which are competitive or cooperative , 1996 .
[4] D. Ruelle. Small random perturbations of dynamical systems and the definition of attractors , 1981 .
[5] Eduardo D. Sontag,et al. Algorithmic and complexity results for decompositions of biological networks into monotone subsystems , 2007, Biosyst..
[6] D. Ruelle. Strange attractors as a mathematical explanation of turbulence , 1972 .
[7] Josef Hofbauer,et al. Multiple limit cycles for three dimensional Lotka-Volterra equations , 1994 .
[8] J. Hale,et al. Methods of Bifurcation Theory , 1996 .
[9] F. Takens,et al. Note concerning our paper: ``On the nature of turbulence'' , 1971 .
[10] J. Hale. Asymptotic Behavior of Dissipative Systems , 1988 .
[11] F. Takens,et al. On the nature of turbulence , 1971 .
[12] M. Hirsch. Systems of di erential equations which are competitive or cooperative I: limit sets , 1982 .
[13] El Houssine Snoussi. Necessary Conditions for Multistationarity and Stable Periodicity , 1998 .
[14] L. E. Ward. Partially ordered topological spaces , 1954 .
[15] E. Kamke. Zur Theorie der Systeme gewöhnlicher Differentialgleichungen. II. , 1932 .
[16] G. P. Szegö,et al. Weak attractors inRn , 2005, Mathematical systems theory.
[17] K. P. Hadeler,et al. Quasimonotone systems and convergence to equilibrium in a population genetic model , 1983 .
[18] S. Shen-Orr,et al. Network motifs: simple building blocks of complex networks. , 2002, Science.
[19] J. Gouzé. Positive and Negative Circuits in Dynamical Systems , 1998 .
[20] Tomasz W. Dłotko,et al. Global Attractors in Abstract Parabolic Problems , 2000 .
[21] Ethan Akin,et al. The general topology of dynamical systems , 1993 .
[22] Zhengyi Lu,et al. Three limit cycles for a three-dimensional Lotka-Volterra competitive system with a heteroclinic cycle☆ , 2003 .
[23] Abdul Salam Jarrah,et al. The effect of negative feedback loops on the dynamics of boolean networks. , 2007, Biophysical journal.
[24] M. Hirsch. Stability and convergence in strongly monotone dynamical systems. , 1988 .
[25] R. Téman,et al. Integral Manifolds and Inertial Manifolds for Dissipative Partial Differential Equations , 1988 .
[26] D. Ruelle. Turbulence, strange attractors, and chaos , 1995 .
[27] F. Takens,et al. Occurrence of strange AxiomA attractors near quasi periodic flows onTm,m≧3 , 1978 .
[28] Dongmei Xiao,et al. Limit Cycles for the Competitive Three Dimensional Lotka–Volterra System , 2000 .
[29] G. Sell. Periodic solutions and asymptotic stability , 1966 .
[30] M. Feinberg. Chemical reaction network structure and the stability of complex isothermal reactors—I. The deficiency zero and deficiency one theorems , 1987 .
[31] O. Ladyzhenskaya,et al. Attractors for Semigroups and Evolution Equations , 1991 .
[32] Max b. Müller. Über das Fundamentaltheorem in der Theorie der gewöhnlichen Differentialgleichungen , 1927 .
[33] R. Thom. Stabilité structurelle et morphogénèse : essai d'une théorie générale des modèles , 1977 .
[34] E. Lorenz. Deterministic nonperiodic flow , 1963 .
[35] N. Levinson,et al. A general equation for relaxation oscillations , 1942 .
[36] M. Hirsch,et al. 4. Monotone Dynamical Systems , 2005 .
[37] C. Conley. Isolated Invariant Sets and the Morse Index , 1978 .
[38] Rolf Niedermeier,et al. Optimal Edge Deletions for Signed Graph Balancing , 2007, WEA.
[39] Taro Ura. Sur les courbes définies par les équations différentielles dans l’espace à $m$ dimensions , 1953 .
[40] V. Chepyzhov,et al. Attractors for Equations of Mathematical Physics , 2001 .
[41] Eduardo D. Sontag,et al. Monotone and near-monotone biochemical networks , 2007, Systems and Synthetic Biology.
[42] Sandeep Krishna,et al. Oscillation patterns in negative feedback loops , 2006, Proceedings of the National Academy of Sciences.
[43] David Ruelle,et al. Occurrence of strange Axiom A attractors near quasiperiodic flows on $T^{m}$,$\,m\geq 3$ , 1979 .
[44] P. Stein,et al. NON-LINEAR TRANSFORMATION STUDIES ON ELECTRONIC COMPUTERS , 1964 .
[45] René Thom,et al. Structural stability and morphogenesis - an outline of a general theory of models , 1977, Advanced book classics.
[46] René Thomas. On the Relation Between the Logical Structure of Systems and Their Ability to Generate Multiple Steady States or Sustained Oscillations , 1981 .
[47] R. Thom. Stabilité structurelle et morphogenèse , 1974 .
[48] A. M. Turing,et al. The chemical basis of morphogenesis , 1952, Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences.
[49] Nam P. Bhatia. On asymptotic stability in dynamical systems , 2005, Mathematical systems theory.
[50] J. Milnor. On the concept of attractor , 1985 .