Rare and hidden attractors in Van der Pol-Duffing oscillators

S Brezetskyi, D Dudkowski, T Kapitaniak - The European Physical Journal …, 2015 - Springer
We study the dynamics of the single and coupled van der Pol-Duffing oscillators. Each
oscillator is characterized by the multistability (the coexistence of attractors). Some of the …

Hidden attractors in a chaotic system with an exponential nonlinear term

VT Pham, S Vaidyanathan, CK Volos… - The European Physical …, 2015 - Springer
Studying systems with hidden attractors is new attractive research direction because of its
practical and threoretical importance. A novel system with an exponential nonlinear term …

[HTML][HTML] Perpetual points and hidden attractors in dynamical systems

D Dudkowski, A Prasad, T Kapitaniak - Physics Letters A, 2015 - Elsevier
We discuss the use of perpetual points for tracing the hidden and the rare attractors of
dynamical systems. The analysis of perpetual points and their co-existence due to the …

Synchronization and multistability in the ring of modified Rössler oscillators

P Jaros, P Perlikowski, T Kapitaniak - The European Physical Journal …, 2015 - Springer
We discuss the occurrence of various synchronous states in a ring of unidirectionally
coupled modified Rössler oscillators. When systems are uncoupled we observe, single node …

Synchronization in coupled multistable systems with hidden attractors

G Pm, T Kapitaniak - Mathematical Problems in Engineering, 2017 - Wiley Online Library
In this paper, we study the results of coupling multistable systems which have hidden
attractors with each other. Three modified Sprott systems were coupled and their …

Lag Synchronization in Coupled Multistable van der Pol‐Duffing Oscillators

D Dudkowski, P Kuzma… - Discrete Dynamics in …, 2014 - Wiley Online Library
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 …

Chaos in a system with parabolic equilibrium

VT Pham, CK Volos, S Vaidyanathan, S Jafari… - Recent Advances in …, 2019 - Elsevier
This chapter investigates a novel three-dimensional chaotic system with an infinite number
of equilibrium points, which are located on a parabola. Fundamental dynamical properties of …

State switching in multi-stable systems: control and optimisation.

B Liu - 2020 - rgu-repository.worktribe.com
This thesis studies state-switching in multistable systems, so that they can switch from
inefficient operating states to a more efficient one, in order to achieve performance …