Geodesic
Dissipative and Hamiltonian Systems with Chaotic Behavior: An Analytic Approach
Teoretičeskaâ i matematičeskaâ fizika, Tome 130 (2002) no. 2, pp. 287-300

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Some classes of dissipative and Hamiltonian distributed systems are described. The dynamics of these systems is effectively reduced to finite-dimensional dynamics which can be unboundedly complex in a sense. Yarying the parameters of these systems, we can obtain an arbitrary (to within the orbital topological equivalence) structurally stable attractor in the dissipative case and an arbitrary polynomial weakly integrable Hamiltonian in the conservative case. As examples, we consider Hopfield neural networks and some reaction-diffusion systems in the dissipative case and a nonlinear string in the Hamiltonian case. 
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     author = {A. K. Abramyan and S. A. Vakulenko},
     title = {Dissipative and {Hamiltonian} {Systems} with {Chaotic} {Behavior:} {An} {Analytic} {Approach}},
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A. K. Abramyan; S. A. Vakulenko. Dissipative and Hamiltonian Systems with Chaotic Behavior: An Analytic Approach. Teoretičeskaâ i matematičeskaâ fizika, Tome 130 (2002) no. 2, pp. 287-300. http://geodesic.mathdoc.fr/item/TMF_2002_130_2_a5/