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 …
A review of the digital implementation of continuous-time fractional-order chaotic systems using FPGAs and embedded hardware
D Clemente-López, JM Munoz-Pacheco… - … Methods in Engineering, 2023 - Springer
The hallmark of fractional-order derivatives is a memory kernel to describe real-world
phenomena with a better approximation than classical calculus. In fractional-order chaotic …
phenomena with a better approximation than classical calculus. In fractional-order chaotic …
Initial condition-dependent dynamics and transient period in memristor-based hypogenetic jerk system with four line equilibria
Memristor-based nonlinear dynamical system easily presents the initial condition-dependent
dynamical phenomenon of extreme multistability, ie, coexisting infinitely many attractors …
dynamical phenomenon of extreme multistability, ie, coexisting infinitely many attractors …
[HTML][HTML] Window of multistability and its control in a simple 3D Hopfield neural network: application to biomedical image encryption
In this contribution, the problem of multistability control in a simple model of 3D HNNs as
well as its application to biomedical image encryption is addressed. The space …
well as its application to biomedical image encryption is addressed. The space …
Two-memristor-based Chua's hyperchaotic circuit with plane equilibrium and its extreme multistability
This paper presents a novel fifth-order two-memristor-based Chua's hyperchaotic circuit,
which is synthesized from an active band pass filter-based Chua's circuit through replacing a …
which is synthesized from an active band pass filter-based Chua's circuit through replacing a …
Theory of hidden oscillations and stability of control systems
NV Kuznetsov - Journal of Computer and Systems Sciences …, 2020 - Springer
The development of the theory of absolute stability, the theory of bifurcations, the theory of
chaos, theory of robust control, and new computing technologies has made it possible to …
chaos, theory of robust control, and new computing technologies has made it possible to …
A new multi-stable fractional-order four-dimensional system with self-excited and hidden chaotic attractors: Dynamic analysis and adaptive synchronization using a …
Four-dimensional chaotic systems are a very interesting topic for researchers, given their
special features. This paper presents a novel fractional-order four-dimensional chaotic …
special features. This paper presents a novel fractional-order four-dimensional chaotic …
Coexisting infinitely many attractors in active band-pass filter-based memristive circuit
This paper presents an inductor-free memristive circuit, which is implemented by linearly
coupling an active band-pass filter (BPF) with a parallel memristor and capacitor filter …
coupling an active band-pass filter (BPF) with a parallel memristor and capacitor filter …
[HTML][HTML] Multistable dynamics and control of a new 4D memristive chaotic Sprott B system
R Ramamoorthy, K Rajagopal, GD Leutcho… - Chaos, Solitons & …, 2022 - Elsevier
This work proposes and investigates the dynamic behavior of a new memristive chaotic
Sprott B system. One of the interesting features of this system is that it has a bias term that …
Sprott B system. One of the interesting features of this system is that it has a bias term that …
[HTML][HTML] Dynamical analysis of a new multistable chaotic system with hidden attractor: Antimonotonicity, coexisting multiple attractors, and offset boosting
Analyzing chaotic systems with coexisting and hidden attractors has been receiving much
attention recently. In this article, we analyze a four dimensional chaotic system which has a …
attention recently. In this article, we analyze a four dimensional chaotic system which has a …