Control of multistability
Multistability or coexistence of different attractors for a given set of parameters is one of the
most exciting phenomena in dynamical systems. It can be found in different areas of science …
most exciting phenomena in dynamical systems. It can be found in different areas of science …
[LIVRE][B] Synchronization: from coupled systems to complex networks
A modern introduction to synchronization phenomena, this text presents recent discoveries
and the current state of research in the field, from low-dimensional systems to complex …
and the current state of research in the field, from low-dimensional systems to complex …
Multiple switching and bifurcations of in-phase and anti-phase periodic orbits to chaotic coexistence in a delayed half-center CPG oscillator
Z Song, J Xu - Nonlinear Dynamics, 2023 - Springer
In this study, we investigate complex dynamical behaviors of a delayed-HCO (half-center
oscillator) neural system consisting of two inertial neurons. The system proposes two types …
oscillator) neural system consisting of two inertial neurons. The system proposes two types …
Two bifurcation routes to multiple chaotic coexistence in an inertial two-neural system with time delay
S Yao, L Ding, Z Song, J Xu - Nonlinear Dynamics, 2019 - Springer
In this article, we establish an inertial two-neural system with time delay and illustrate the
stable coexistence of three chaotic attractors that arise via two different bifurcation routes, ie …
stable coexistence of three chaotic attractors that arise via two different bifurcation routes, ie …
Vibrational resonance in a multistable system with position-dependent mass
The occurrence of vibrational resonance (VR) in a dual-frequency-driven multistable system
with a spatially varying mass modelling particle with position-dependent mass (PDM) and …
with a spatially varying mass modelling particle with position-dependent mass (PDM) and …
Emergence of synchronous behavior in a network with chaotic multistable systems
In this work, we address the synchronization problem of complex dynamical networks with
bidirectional, linear, and diffusive coupling, whose nodes have dynamics given by a …
bidirectional, linear, and diffusive coupling, whose nodes have dynamics given by a …
Synchronization and multistability in the ring of modified Rössler oscillators
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 …
coupled modified Rössler oscillators. When systems are uncoupled we observe, single node …
Synchronization of complex networks of identical and nonidentical chaotic systems via model-matching control
D López-Mancilla, G López-Cahuich… - Plos one, 2019 - journals.plos.org
In this work, a synchronization scheme for networks of complex systems is presented. The
proposed synchronization scheme uses a control law obtained with some definitions from …
proposed synchronization scheme uses a control law obtained with some definitions from …
On the behavior of bidirectionally coupled multistable systems
In this work, we study the synchronization states for a specific pair of mutually coupled
multistable scroll systems. First, we determine conditions in the coupling scheme, to achieve …
multistable scroll systems. First, we determine conditions in the coupling scheme, to achieve …
Synchronization of semiconductor lasers with coexisting attractors
We study synchronization of unidirectionally coupled optical bistable systems. In particular,
we consider two semiconductor lasers with an external cavity, which exhibit, when isolated …
we consider two semiconductor lasers with an external cavity, which exhibit, when isolated …