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Organizing Committee xvii
Transitions in Chaos I S Aranson M I Rabinovich
Reversible Systems V I Arnold
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Academy of Sciences arbitrary asymptotic beta-functions bifurcations breather calculated chaos chaotic classical coefficients consider constant correlation corresponding Couette flow cycle defined density matrix described differential equations dimension dissipative dynamic systems elements equilibrium field figure finite fixed points flow functions Hamiltonian systems hydrodynamic infinite initial Institute integrable interaction invariant inverse scattering involution KdV equation Kiev L-A pair Lie algebra linear manifold mapping Math mathematical matrix method models Moscow motion Nauk nonlinear nontrivial obtained one-dimensional orbit oscillations parameter particles periodic perturbation phase space Phys Physics Poiseuille flow Poisson bracket polynomial Preprint problem properties recursion operator reference region resonant satisfies separatrix sequence sigma-models soliton solutions spectral SSSR stable stochastic strange attractor structure symmetry theorem theory tion tonian torus trajectories transformation transition turbulence turnstiles two-dimensional Ukrainian SSR unstable USSR USSR Abstract USSR Academy variables vector bundles velocity wave