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Wstęp do teorii drgań
(Wydawnictwo Politechniki ŁódzkiejLodz University of Technology. Press, 2005)
Podręcznik jest przeznaczony dla studentów Wydziału Mechanicznego i jest
zgodny z aktualnym programem studiów. Przedstawiono w nim podstawowe
zagadnienia teorii drgań, kładąc nacisk na wytłumaczenie własności fizycznych
ruchu ...
Bifurcations of Oscillatory and Rotational Solutions of Double Pendulum with Parametric Vertical Excitation
(Hindawi Publishing Corporation, 2014-06)
This paper investigates dynamics of double pendulum subjected to vertical parametric kinematic excitation. It includes detailed bifurcation diagrams in two-parameter space (excitation’s frequency and amplitude) for both ...
Energy method for position stability analysis of critical points of robot manipulators.
(Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej, 2004)
An energy method for the position stability analysis of critical points (equilibrium positions) of dynamical systems with an arbitrary finite number of degrees of freedom is presented. The method proposed consists in the ...
Coupling multistable systems: uncertainly due to the initial positions on the attractors.
(Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej, 2014)
We consider the coupling of multistable nonidentical systems. For small values of the coupling coefficient the behavior of the coupled system strongly depends on the actual position of trajectories on their attractors in ...
Lag Synchronization in Coupled Multistable van der Pol-Duffing Oscillators
(2014)
We consider the system of externally excited identical van der Pol-Duffing oscillators unidirectionally coupled in a ring. When the coupling is introduced, each of the oscillator’s trajectories is on different attractor. ...
Energy balance of two synchronized self-excited pendulums with different masses.
(Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej, 2012)
We consider the synchronization of two self-excited pendulums with different masses. We show that such pendulums hanging on the same beam can show almost-complete (in-phase) and almost-antiphase synchronizations in which ...
Optimization of the Control System Parameters with Use of the New Simple Method of the Largest Lyapunov Exponent Estimation.
(Lodz University of Technology. Faculty of Mechanical Engineering. Department Division of Dynamics.Wydawnictwo Politechniki Łódzkiej. Wydział Mechaniczny. Katedra Dynamiki Maszyn., 2013)
This text covers application of Largest Lapunov Exponent (LLE) as a criterion for control performance assessment (CPA) in a simulated control system. The main task is to find a simple and effective method to search for the ...
Different types of chimera states: An interplay between spatial and dynamical chaos
(2014)
We discuss the occurrence of chimera states in networks of nonlocally coupled bistable oscillators, in which individual subsystems are characterized by the coexistence of regular (a fixed point or a limit cycle) and chaotic ...
Coupling multistable systems: uncertainty due to the initial positions on the attractors
(2014)
We consider the coupling of multistable nonidentical systems. For small values of the coupling coefficient the behavior of the coupled system strongly depends on the actual position of trajectories on their attractors in ...
Application of artificial neural networks in parametrical investigations of the energy flow and synchronization.
(Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej, 2010)
Dynamics of nonlinear systems is a very complicated problem with many aspects to be recognized. Numerous methods are used to investigate such systems. Their careful analysis is connected with long-time simulations. Thus, ...