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Hidden attractors in dynamical systems
Complex dynamical systems, ranging from the climate, ecosystems to financial markets and
engineering applications typically have many coexisting attractors. This property of the …
engineering applications typically have many coexisting attractors. This property of the …
Multiple attractors in a non-ideal active voltage-controlled memristor based Chua's circuit
Multiple attractors can be found in many nonlinear dynamical system with multistability.
Recently, experimental attractors with two stable saddle-foci were reported to find in a non …
Recently, experimental attractors with two stable saddle-foci were reported to find in a non …
Control of multistability in hidden attractors
Hidden attractors have a basin of attraction which is not connected with unstable
equilibrium. Certain systems with hidden attractor show multistability for a range of …
equilibrium. Certain systems with hidden attractor show multistability for a range of …
Multistability in piecewise linear systems versus eigenspectra variation and round function
A multistable system generated by Piecewise Linear (PWL) subsystems based on the jerk
equation is presented. The system's behavior is characterized by means of the Nearest …
equation is presented. The system's behavior is characterized by means of the Nearest …
Controlling dynamics of hidden attractors
Amplitude death (AD) in hidden attractors is attained with a scheme of linear augmentation.
This linear control scheme is capable of stabilizing the system to a fixed point state even …
This linear control scheme is capable of stabilizing the system to a fixed point state even …
Coexistence of firing patterns and its control in two neurons coupled through an asymmetric electrical synapse
Z Tabekoueng Njitacke, I Sami Doubla… - … Journal of Nonlinear …, 2020 - pubs.aip.org
In this paper, the effects of asymmetry in an electrical synaptic connection between two
neuronal oscillators with a small discrepancy are studied in a 2D Hindmarsh–Rose model …
neuronal oscillators with a small discrepancy are studied in a 2D Hindmarsh–Rose model …
Multistability induced by two symmetric stable node-foci in modified canonical Chua's circuit
This paper proposes a modified canonical Chua's circuit using an one-stage op-amp-based
negative impedance converter and an anti-parallel diode pair. Unlike the conventional …
negative impedance converter and an anti-parallel diode pair. Unlike the conventional …
On the dynamics of a simplified canonical Chua's oscillator with smooth hyperbolic sine nonlinearity: Hyperchaos, multistability and multistability control
A simplified hyperchaotic canonical Chua's oscillator (referred as SHCCO hereafter) made
of only seven terms and one nonlinear function of type hyperbolic sine is analyzed. The …
of only seven terms and one nonlinear function of type hyperbolic sine is analyzed. The …
Control of multistability with selection of chaotic attractor: application to image encryption
Dynamic systems exhibiting chaos with periodic windows and multistability are not
recommended for cryptography due to the lack of security in these regimes. In this work, we …
recommended for cryptography due to the lack of security in these regimes. In this work, we …
Megastability in a quasi-periodically forced system exhibiting multistability, quasi-periodic behaviour, and its analogue circuit simulation
In this paper, we present a new quasi-periodically forced system which exhibits coexistence
of an infinite number of nested attractors (megastability) along with quasi-periodic and …
of an infinite number of nested attractors (megastability) along with quasi-periodic and …