443 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- University of ŁódźPL34 papers
- Institute of MathematicsPL24 papers
- Instituto Politécnico NacionalMX15 papers
- Jagiellonian UniversityPL14 papers
- Centre National de la Recherche ScientifiqueFR13 papers
- Centro de Investigación y de Estudios Avanzados del Instituto Politécnico NacionalMX11 papers
- Indian Statistical InstituteIN11 papers
- Istituto Nazionale di Fisica Nucleare, Laboratori Nazionali del Gran SassoIT11 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di Roma IIT11 papers
- European Organization for Nuclear ResearchCH10 papers
- Gran Sasso Science InstituteIT10 papers
- Institute of PhysicsPL10 papers
20 papers · 1 filter
Dynamics and non-integrability of the variable-length double pendulum: exploring chaos and periodicity via the Lyapunov refined maps
Wojciech Szumiński, Tomasz Kapitaniak
This paper extends our previous work~(Szumiński and Maciejewski, 2024), where we explored the dynamics and integrability of the double-spring pendulum. Here, we investigate the var…
Nonlinear dynamics of a vertical pendulum driven by magnetic field provided by two coils magnets: analytical, numerical and experimental studies
Bonaventure Nana, Krystian Polczyński, Paul Woafo +1
In the present work, we analyzed theoretically and experimentally the nonlinear dynamics of a magnetic pendulum excited through the interactions of a strong neodymium magnet and tw…
Dynamics of Pendulum Forced by a Magnetic Excitation with Position-Dependent Phase
Krystian Polczyński, Maksymilian Bednarek, Jan Awrejcewicz
This study investigates the dynamics of a magnetic pendulum under time-varying magnetic excitation with a position-dependent phase. The system exhibits complex chaotic and regular…
Overcoming stretching and shortening assumptions in Euler-Bernoulli theory using nonlinear Hencky beam models: applicable to partly-shortened and partly-stretched beams
Mohammad Parsa Rezaei, Grzegorz Kudra, Mojtaba Ghodsi +1
This paper addresses the challenges of the Euler-Bernoulli beam theory regarding shortening and stretching assumptions. Certain boundary conditions, such as a cantilever with a hor…
Stickiness and recurrence plots: an entropy-based approach
Matheus R. Sales, Michele Mugnaine, José D. Szezech +4
The stickiness effect is a fundamental feature of quasi-integrable Hamiltonian systems. We propose the use of an entropy-based measure of the recurrence plots (RP), namely, the ent…
Instabilities in quasiperiodic motion lead to intermittent large-intensity events in Zeeman laser
S. Leo Kingston, Arindam Mishra, Marek Balcerzak +2
We report intermittent large-intensity pulses that originate in Zeeman laser due to instabilities in quasiperiodic motion, one route follows torus-doubling to chaos and another goe…
Chimera states for directed networks
Patrycja Jaros, Roman Levchenko, Tomasz Kapitaniak +1
We demonstrate that chimera behavior can be observed in ensembles of phase oscillators with unidirectional coupling. For a small network consisting of only three identical oscillat…
Understanding the origin of extreme events in El Niño-Southern Oscillation
Arnob Ray, Sarbendu Rakshit, Gopal K. Basak +2
We investigate a low-dimensional slow-fast model to understand the dynamical origin of El Niño-Southern Oscillation. A close inspection of the system dynamics using several bifurca…
Routes to extreme events in dynamical systems: Dynamical and Statistical Characteristics
Arindam Mishra, S. Leo Kingston, Chittaranjan Hens +3
Intermittent large amplitude events are seen in the temporal evolution of a state variable of many dynamical systems. Such intermittent large events suddenly start appearing in dyn…
Intermittent large deviation of chaotic trajectory in Ikeda map: Signature of extreme events
Arnob Ray, Sarbendu Rakshit, Dibakar Ghosh +1
We notice signatures of extreme events-like behavior in a laser based Ikeda map. The trajectory of the system occasionally travels a large distance away from the bounded chaotic re…
Properties of impact events in the model of forced impacting oscillator: experimental and numerical investigations
Sergii Skurativskyi, Grzegorz Kudra, Grzegorz Wasilewski +1
The paper deals with the studies of forced impacting oscillator when are taken into account the dry and viscous resistance, as well as the generalized Hertz contact law during an i…
Solitary states for coupled oscillators
Patrycja Jaros, Serhiy Brezetsky, Roman Levchenko +3
We demonstrate that solitary states can be widely observed for networks of coupled oscillators with local, non-local and global couplings, and they preserve in both thermodynamic a…
Perpetual points: New tool for localization of co-existing attractors in dynamical systems
Dawid Dudkowski, Awadhesh Prasad, Tomasz Kapitaniak
Perpetual points (PPs) are special critical points for which the magnitude of acceleration describing dynamics drops to zero, while the motion is still possible (stationary points…
The smallest chimera states
Yuri Maistrenko, Serhiy Brezetsky, Patrycja Jaros +2
We demonstrate that chimera behavior can be observed in small networks consisting of three identical oscillators, with mutual all-to-all coupling. Three different types of chimeras…
Perpetual points and periodic perpetual loci in maps
Dawid Dudkowski, Awadhesh Prasad, Tomasz Kapitaniak
We introduce the concepts of perpetual points and periodic perpetual loci in discrete--time systems (maps). The occurrence and analysis of these points/loci are shown and basic exa…
Controlling multistability by discontinuous dissipative coupling
P. Brzeski, E. Pavlovskaia, T. Kapitaniak +1
In this paper we present an influence of discontinuous coupling on the dynamics of multistable systems. Our model consists of two periodically forced oscillators that can interact…
Synchronous motion of two vertically excited planar elastic pendula
Marcin Kapitaniak, Przemyslaw Perlikowski, Tomasz Kapitaniak
The dynamics of two planar elastic pendula mounted on the horizontally excited platform have been studied. We give evidence that the pendula can exhibit synchronous oscillatory and…
The dynamics of the pendulum suspended on the forced Duffing oscillator
Piotr Brzeski, Przemyslaw Perlikowski, Serhiy Yanchuk +1
We investigate the dynamics of the pendulum suspended on the forced Duffing oscillator. The detailed bifurcation analysis in two parameter space (amplitude and frequency of excitat…
Riddling and chaotic synchronization of coupled piecewise-linear Lorenz maps
Marcos C. Verges, Rodrigo Frehse Pereira, Sergio R. Lopes +2
We investigate the parametric evolution of riddled basins related to synchronization of chaos in two coupled piecewise-linear Lorenz maps. Riddling means that the basin of the sync…
DelayAndPeriodicity
S. Yanchuk, P. Perlikowski
Systems with time delay play an important role in modeling of many physical and biological processes. In this paper we describe generic properties of systems with time delay, which…