Nonlinear analysis
Research topics:
Asymptotic analysis:
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(a) General approach (Newton Polyhedra, Resolution
of Singularities)
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(b) General asymtotical treatment of all types of
equations (algebraic, ordinary differential, partial differential)
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(c) Applications to Hydrodynamics, Theory of mechanisms.
Normal Form method in ordinary differential equations:
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(a) General (in abstract settings)
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(b) Applications in Celestial Mechanics
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(c) Applications in Quantum Mechanics
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(d) Small denominators
Algorithms of Nonlinear Analysis:
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(a) Normal Form computation
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(b) Newton Polyhedron computation
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(c) ODE integration in singular case with use of
a regularization
Integrability and Chaos
Software development:
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(a) Specialized Polynomial Algebra system for use
in the Normal Form calculation, especially in connection with the 16-th
Hilbert Problem.
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(b) Program for calculating Newton Polyhedra
Contact us:
Alexander
D. BRUNO (1,2(a,b,d),3,5(a,b))
bruno@spp.keldysh.ru,
bruno@applmat.msk.su
Alexander B. ARANSON (3(b),5(b)) aranson@spp.keldysh.ru
Victor P. VARIN (2(a,b),3(c))
varin@spp.keldysh.ru,
varin@applmat.msk.su
Lev D. PUSTYLNIKOV (2(a,c,d),4) lpustyln@spp.keldysh.ru
Sergey
Yu. SADOV (2(a,b,c),3(a),4,5(a,c)) sadov@spp.keldysh.ru
Profiles
Abstracts
of recent publications
Department
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