Abstract: This volume is a collection of papers related to sessions of the seminar of the Steklov Institute of Mathematics on differential equations and dynamical systems. About a half of the volume is devoted to problems that arise when trajectories exhibit hyperbolic behavior. The authors touch upon the case of uniform hyperbolicity, which has already become classical, and bifurcational phenomena associated with a homoclinic tangency. Other problems considered in this volume are minimal sets of various types of dynamical systems, a variation in the statistics of the behavior of solutions to a simple system on the two-dimensional torus under a change of time, and a dynamical treatment of difference equations that arise when studying boundary value problems. The application of Dirac differential operators in differential geometry is also discussed.
The volume is addressed to specialists in differential equations, dynamical systems, and their applications, as well as to postgraduates and senior students who are interested in these problems.
Dynamical Systems and Related Problems of Geometry
Collected papers. Dedicated to the Memory of Academician Andrei Andreevich Bolibrukh
This volume is a collection of papers related to sessions of the seminar of the Steklov Institute of Mathematics on differential equations and dynamical systems. About a half of the volume is devoted to problems that arise when trajectories exhibit hyperbolic behavior. The authors touch upon the case of uniform hyperbolicity, which has already become classical, and bifurcational phenomena associated with a homoclinic tangency. Other problems considered in this volume are minimal sets of various types of dynamical systems, a variation in the statistics of the behavior of solutions to a simple system on the two-dimensional torus under a change of time, and a dynamical treatment of difference equations that arise when studying boundary value problems. The application of Dirac
differential operators in differential geometry is also discussed.
The volume is addressed to specialists in differential equations, dynamical systems, and their applications, as well as to postgraduates and senior students who are interested in these problems.
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