Geodesic
Space-Time Chaos, Critical Phenomena, and Bifurcations of Solutions of Infinite-Dimensional Systems of Ordinary Differential Equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 133 (2002) no. 1, pp. 36-53

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We study infinite-dimensional systems of ordinary differential equations having applications in some popular and important physical problems. The appearance of infinite-dimensional space-time chaos is considered, namely, the bifurcations and critical phenomena that occur in the phase
Mots-clés : chaos, bifurcation
Keywords: stability, infinite-dimensional system of equations, hyperbolic point, separatrix. 
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     author = {L. D. Pustyl'nikov},
     title = {Space-Time {Chaos,} {Critical} {Phenomena,} and {Bifurcations} of {Solutions} of {Infinite-Dimensional} {Systems} of {Ordinary} {Differential} {Equations}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     publisher = {mathdoc},
     volume = {133},
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     url = {http://geodesic.mathdoc.fr/item/TMF_2002_133_1_a2/}
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L. D. Pustyl'nikov. Space-Time Chaos, Critical Phenomena, and Bifurcations of Solutions of Infinite-Dimensional Systems of Ordinary Differential Equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 133 (2002) no. 1, pp. 36-53. http://geodesic.mathdoc.fr/item/TMF_2002_133_1_a2/