Proceedings of the International Conference "Geometric Methods in Control Theory and Mathematical Physics" dedicated to the 70th anniversary of S.L. Atanasyan, the 70th anniversary of I.S. Krasilshchik, the 70th anniversary of A.V. Samokhin, and the 80th anniversary of V.T. Fomenko. S.A. Esenin Ryazan State University, Ryazan, September 25–28, 2018. Part 1
On the branching of a large periodic solution of a system of differential equations with a parameter
3
Parameter stability under constant perturbations
9
An approach to generating extremely multistable chaotic systems
15
On certain operator families
26
Bifurcations of solutions to equations with deviating spatial arguments
33
Bifurcations of invariant tori in second-order quasilinear evolution equations in Hilbert spaces and scenarios of transition to turbulence
45
Dynamics of coupled Van der Pol oscillators
53
On the stability of integral manifolds of a system of ordinary differential equations in the critical case
61
Hidden synchronization in phase locked loop systems
71
Second-kind equilibrium states of the Kuramoto–Sivashinsky equation with homogeneous Neumann boundary conditions
80
Stability and asymptotically periodic solutions of hybrid systems with aftereffect
91
On the motion of a body suspended on a thread with variable length
99
Control of a discrete dynamic system with noise
105
Piecewise-linear price function of a differential game with simple dynamics and integral-terminal price functional
114
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